Numerical Analysis (CS 450) Spring 2022

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• F21 Notes

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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Conditioning of Evaluating tan.ipynb">Demo: Conditioning of Evaluating tan</a>
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        <a href="repocur:demos/upload/error_and_fp/Conditioning of Evaluating tan.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Conditioning of Evaluating tan.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Density of Floating Point Numbers.ipynb">Demo: Density of Floating Point Numbers</a>
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        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Density of Floating Point Numbers.ipynb">Run interactively with cleared input</a>
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        <a href="repocur:demos/upload/error_and_fp/Density of Floating Point Numbers.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Density of Floating Point Numbers.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Floating Point and the Series for the Exponential Function.ipynb">Demo: Floating Point and the Series for the Exponential Function</a>
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        <a href="repocur:demos/upload/error_and_fp/Floating Point and the Series for the Exponential Function.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Floating Point and the Series for the Exponential Function.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Floating Point vs Program Logic.ipynb">Demo: Floating Point vs Program Logic</a>
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        <a href="repocur:demos/upload/error_and_fp/Floating Point vs Program Logic.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Floating Point vs Program Logic.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Floating point and the Harmonic Series.ipynb">Demo: Floating point and the Harmonic Series</a>
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        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Floating point and the Harmonic Series.ipynb">Run interactively with cleared input</a>
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        <a href="repocur:demos/upload/error_and_fp/Floating point and the Harmonic Series.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Floating point and the Harmonic Series.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Picking apart a floating point number.ipynb">Demo: Picking apart a floating point number</a>
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        <a href="repocur:demos/upload/error_and_fp/Picking apart a floating point number.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Picking apart a floating point number.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Truncation vs Rounding.ipynb">Demo: Truncation vs Rounding</a>
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        <a href="repocur:demos/upload/error_and_fp/Truncation vs Rounding.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Truncation vs Rounding.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Vector Norms.ipynb">Demo: Vector Norms</a>
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        <a href="repocur:demos/upload/error_and_fp/Vector Norms.py">Download Python script</a>
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        <a href="repocur:demos/upload/error_and_fp/Vector Norms.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/error_and_fp/Writing Testable Numerics Code.ipynb">Demo: Writing Testable Numerics Code</a>
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        <a href="repocur:demos/upload/error_and_fp/Writing Testable Numerics Code.ipynb">Download Jupyter notebook</a>
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</ul>

• Theory: Conditioning

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    <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-conditioning/start/">In-Class Activity: Matrix Norms and Conditioning</a>
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    Methods to Solve Systems
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    LU: Application and Implementation
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    <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-lu/start/">In-Class Activity: LU</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Coding back-substitution.ipynb">Demo: Coding back-substitution</a>
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        <a href="repocur:demos/upload/linear_systems/Coding back-substitution.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Complexity of Mat-Mat multiplication and LU.ipynb">Demo: Complexity of Mat-Mat multiplication and LU</a>
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        <a href="repocur:demos/upload/linear_systems/Complexity of Mat-Mat multiplication and LU.ipynb">Download Jupyter notebook</a>
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    </ul>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Condition number visualized.ipynb">Demo: Condition number visualized</a>
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        <a href="repocur:demos/upload/linear_systems/Condition number visualized.py">Download Python script</a>
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        <a href="repocur:demos/upload/linear_systems/Condition number visualized.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Conditioning of 2x2 Matrices.ipynb">Demo: Conditioning of 2x2 Matrices</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/LU Factorization with Partial Pivoting.ipynb">Demo: LU Factorization with Partial Pivoting</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/LU Factorization.ipynb">Demo: LU Factorization</a>
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        <a href="repocur:demos/upload/linear_systems/LU Factorization.html">View on the web</a>
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        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/LU Factorization.ipynb">Run interactively with cleared input</a>
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        <a href="repocur:demos/upload/linear_systems/LU Factorization.py">Download Python script</a>
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        <a href="repocur:demos/upload/linear_systems/LU Factorization.ipynb">Download Jupyter notebook</a>
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    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Matrix norms.ipynb">Demo: Matrix norms</a>
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  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Sherman-Morrison.ipynb">Demo: Sherman-Morrison</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repocur:demos/upload/linear_systems/Sherman-Morrison.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_systems/Sherman-Morrison.ipynb">Run interactively</a>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Sherman-Morrison.ipynb">Run interactively with cleared input</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repocur:demos/upload/linear_systems/Sherman-Morrison.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repocur:demos/upload/linear_systems/Sherman-Morrison.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Vanilla Gaussian Elimination.ipynb">Demo: Vanilla Gaussian Elimination</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repocur:demos/upload/linear_systems/Vanilla Gaussian Elimination.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_systems/Vanilla Gaussian Elimination.ipynb">Run interactively</a>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_systems/Vanilla Gaussian Elimination.ipynb">Run interactively with cleared input</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repocur:demos/upload/linear_systems/Vanilla Gaussian Elimination.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repocur:demos/upload/linear_systems/Vanilla Gaussian Elimination.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

• Linear Least Squares
  • Introduction

    <li data-jstree='{"icon": "fa fa-user"}'>
      <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-least-squares/start/">In-Class Activity: Least Squares</a>
    </li>
    <li data-jstree='{"icon": "fa fa-file-o"}'>
      Sensitivity and Conditioning
    </li>
    <li data-jstree='{"icon": "fa fa-file-o"}'>
      Solving Least Squares
    </li>
    <li data-jstree='{"icon": "fa fa-user"}'>
      <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-qr/start/">In-Class Activity: QR</a>
    </li>
    <li data-jstree='{"icon": "fa fa-user"}'>
      <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-hh-givens-svd/start/">In-Class Activity: Householder, Givens, SVD</a>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/3x3 Givens demo.ipynb">Demo: 3x3 Givens demo</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/3x3 Givens demo.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/3x3 Givens demo.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/3x3 Givens demo.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/3x3 Givens demo.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/3x3 Givens demo.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/3x3 Householder demo.ipynb">Demo: 3x3 Householder demo</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/3x3 Householder demo.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/3x3 Householder demo.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/3x3 Householder demo.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/3x3 Householder demo.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/3x3 Householder demo.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Gram-Schmidt and Modified Gram-Schmidt.ipynb">Demo: Gram-Schmidt and Modified Gram-Schmidt</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Gram-Schmidt and Modified Gram-Schmidt.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Gram-Schmidt and Modified Gram-Schmidt.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Gram-Schmidt and Modified Gram-Schmidt.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Gram-Schmidt and Modified Gram-Schmidt.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Gram-Schmidt and Modified Gram-Schmidt.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Gram-Schmidt--The Movie.ipynb">Demo: Gram-Schmidt--The Movie</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Gram-Schmidt--The Movie.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Gram-Schmidt--The Movie.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Gram-Schmidt--The Movie.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Gram-Schmidt--The Movie.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Gram-Schmidt--The Movie.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Image compression.ipynb">Demo: Image compression</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Image compression.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Image compression.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Image compression.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Image compression.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Image compression.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Interactive Polynomial Fit.ipynb">Demo: Interactive Polynomial Fit</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Interactive Polynomial Fit.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Interactive Polynomial Fit.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Interactive Polynomial Fit.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Interactive Polynomial Fit.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Interactive Polynomial Fit.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Issues with the normal equations.ipynb">Demo: Issues with the normal equations</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Issues with the normal equations.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Issues with the normal equations.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Issues with the normal equations.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Issues with the normal equations.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Issues with the normal equations.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Keeping track of coefficients in Gram-Schmidt.ipynb">Demo: Keeping track of coefficients in Gram-Schmidt</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Keeping track of coefficients in Gram-Schmidt.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Keeping track of coefficients in Gram-Schmidt.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Keeping track of coefficients in Gram-Schmidt.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Keeping track of coefficients in Gram-Schmidt.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Keeping track of coefficients in Gram-Schmidt.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Normal equations vs Pseudoinverse.ipynb">Demo: Normal equations vs Pseudoinverse</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Normal equations vs Pseudoinverse.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Normal equations vs Pseudoinverse.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Normal equations vs Pseudoinverse.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Normal equations vs Pseudoinverse.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Normal equations vs Pseudoinverse.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Polynomial fitting with the normal equations.ipynb">Demo: Polynomial fitting with the normal equations</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Polynomial fitting with the normal equations.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Polynomial fitting with the normal equations.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Polynomial fitting with the normal equations.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Polynomial fitting with the normal equations.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Polynomial fitting with the normal equations.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Relative cost of matrix factorizations.ipynb">Demo: Relative cost of matrix factorizations</a>
      <ul>
        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
          <a href="repocur:demos/upload/linear_least_squares/Relative cost of matrix factorizations.html">View on the web</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/linear_least_squares/Relative cost of matrix factorizations.ipynb">Run interactively</a>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/linear_least_squares/Relative cost of matrix factorizations.ipynb">Run interactively with cleared input</a>
        </li>
        <li data-jstree='{"icon": "fa fa-terminal"}'>
          <a href="repocur:demos/upload/linear_least_squares/Relative cost of matrix factorizations.py">Download Python script</a>
        </li>
        <li data-jstree='{"icon": "fa fa-download"}'>
          <a href="repocur:demos/upload/linear_least_squares/Relative cost of matrix factorizations.ipynb">Download Jupyter notebook</a>
        </li>
      </ul>
    </li>
  </ul>
  

  • Eigenvalue Problems
    • Properties and Transformations

      <li data-jstree='{"icon": "fa fa-file-o"}'>
        Sensitivity
      </li>
      <li data-jstree='{"icon": "fa fa-file-o"}'>
        Computing Eigenvalues
      </li>
      <li data-jstree='{"icon": "fa fa-user"}'>
        <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-eigenvalues/start/">In-Class Activity: Eigenvalues</a>
      </li>
      <li data-jstree='{"icon": "fa fa-file-o"}'>
        Krylov Space Methods
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Arnoldi Iteration.ipynb">Demo: Arnoldi Iteration</a>
        <ul>
          <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
            <a href="repocur:demos/upload/eigenvalue/Arnoldi Iteration.html">View on the web</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/eigenvalue/Arnoldi Iteration.ipynb">Run interactively</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Arnoldi Iteration.ipynb">Run interactively with cleared input</a>
          </li>
          <li data-jstree='{"icon": "fa fa-terminal"}'>
            <a href="repocur:demos/upload/eigenvalue/Arnoldi Iteration.py">Download Python script</a>
          </li>
          <li data-jstree='{"icon": "fa fa-download"}'>
            <a href="repocur:demos/upload/eigenvalue/Arnoldi Iteration.ipynb">Download Jupyter notebook</a>
          </li>
        </ul>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Bauer-Fike Eigenvalue Sensitivity Bound.ipynb">Demo: Bauer-Fike Eigenvalue Sensitivity Bound</a>
        <ul>
          <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
            <a href="repocur:demos/upload/eigenvalue/Bauer-Fike Eigenvalue Sensitivity Bound.html">View on the web</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/eigenvalue/Bauer-Fike Eigenvalue Sensitivity Bound.ipynb">Run interactively</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Bauer-Fike Eigenvalue Sensitivity Bound.ipynb">Run interactively with cleared input</a>
          </li>
          <li data-jstree='{"icon": "fa fa-terminal"}'>
            <a href="repocur:demos/upload/eigenvalue/Bauer-Fike Eigenvalue Sensitivity Bound.py">Download Python script</a>
          </li>
          <li data-jstree='{"icon": "fa fa-download"}'>
            <a href="repocur:demos/upload/eigenvalue/Bauer-Fike Eigenvalue Sensitivity Bound.ipynb">Download Jupyter notebook</a>
          </li>
        </ul>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Computing the SVD.ipynb">Demo: Computing the SVD</a>
        <ul>
          <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
            <a href="repocur:demos/upload/eigenvalue/Computing the SVD.html">View on the web</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/eigenvalue/Computing the SVD.ipynb">Run interactively</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Computing the SVD.ipynb">Run interactively with cleared input</a>
          </li>
          <li data-jstree='{"icon": "fa fa-terminal"}'>
            <a href="repocur:demos/upload/eigenvalue/Computing the SVD.py">Download Python script</a>
          </li>
          <li data-jstree='{"icon": "fa fa-download"}'>
            <a href="repocur:demos/upload/eigenvalue/Computing the SVD.ipynb">Download Jupyter notebook</a>
          </li>
        </ul>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Householder Similarity Transforms.ipynb">Demo: Householder Similarity Transforms</a>
        <ul>
          <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
            <a href="repocur:demos/upload/eigenvalue/Householder Similarity Transforms.html">View on the web</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/eigenvalue/Householder Similarity Transforms.ipynb">Run interactively</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Householder Similarity Transforms.ipynb">Run interactively with cleared input</a>
          </li>
          <li data-jstree='{"icon": "fa fa-terminal"}'>
            <a href="repocur:demos/upload/eigenvalue/Householder Similarity Transforms.py">Download Python script</a>
          </li>
          <li data-jstree='{"icon": "fa fa-download"}'>
            <a href="repocur:demos/upload/eigenvalue/Householder Similarity Transforms.ipynb">Download Jupyter notebook</a>
          </li>
        </ul>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Orthogonal Iteration.ipynb">Demo: Orthogonal Iteration</a>
        <ul>
          <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
            <a href="repocur:demos/upload/eigenvalue/Orthogonal Iteration.html">View on the web</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/eigenvalue/Orthogonal Iteration.ipynb">Run interactively</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Orthogonal Iteration.ipynb">Run interactively with cleared input</a>
          </li>
          <li data-jstree='{"icon": "fa fa-terminal"}'>
            <a href="repocur:demos/upload/eigenvalue/Orthogonal Iteration.py">Download Python script</a>
          </li>
          <li data-jstree='{"icon": "fa fa-download"}'>
            <a href="repocur:demos/upload/eigenvalue/Orthogonal Iteration.ipynb">Download Jupyter notebook</a>
          </li>
        </ul>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Power iteration and its Variants.ipynb">Demo: Power iteration and its Variants</a>
        <ul>
          <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
            <a href="repocur:demos/upload/eigenvalue/Power iteration and its Variants.html">View on the web</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/eigenvalue/Power iteration and its Variants.ipynb">Run interactively</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Power iteration and its Variants.ipynb">Run interactively with cleared input</a>
          </li>
          <li data-jstree='{"icon": "fa fa-terminal"}'>
            <a href="repocur:demos/upload/eigenvalue/Power iteration and its Variants.py">Download Python script</a>
          </li>
          <li data-jstree='{"icon": "fa fa-download"}'>
            <a href="repocur:demos/upload/eigenvalue/Power iteration and its Variants.ipynb">Download Jupyter notebook</a>
          </li>
        </ul>
      </li>
      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Rounding in characteristic polynomial using SymPy.ipynb">Demo: Rounding in characteristic polynomial using SymPy</a>
        <ul>
          <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
            <a href="repocur:demos/upload/eigenvalue/Rounding in characteristic polynomial using SymPy.html">View on the web</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/eigenvalue/Rounding in characteristic polynomial using SymPy.ipynb">Run interactively</a>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/eigenvalue/Rounding in characteristic polynomial using SymPy.ipynb">Run interactively with cleared input</a>
          </li>
          <li data-jstree='{"icon": "fa fa-terminal"}'>
            <a href="repocur:demos/upload/eigenvalue/Rounding in characteristic polynomial using SymPy.py">Download Python script</a>
          </li>
          <li data-jstree='{"icon": "fa fa-download"}'>
            <a href="repocur:demos/upload/eigenvalue/Rounding in characteristic polynomial using SymPy.ipynb">Download Jupyter notebook</a>
          </li>
        </ul>
      </li>
    </ul>
    

    • Nonlinear Equations
      • Introduction

        <li data-jstree='{"icon": "fa fa-user"}'>
          <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-krylov-nonlinear/start/">In-Class Activity: Krylov and Nonlinear Equations</a>
        </li>
        <li data-jstree='{"icon": "fa fa-file-o"}'>
          Iterative Procedures
        </li>
        <li data-jstree='{"icon": "fa fa-file-o"}'>
          Methods in One Dimension
        </li>
        <li data-jstree='{"icon": "fa fa-user"}'>
          <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-nonlinear/start/">In-Class Activity: Nonlinear Equations</a>
        </li>
        <li data-jstree='{"icon": "fa fa-file-o"}'>
          Methods in $n$  Dimensions (``Systems of Equations'')
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Bisection Method.ipynb">Demo: Bisection Method</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Bisection Method.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Bisection Method.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Bisection Method.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Bisection Method.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Bisection Method.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Convergence of Newton's Method.ipynb">Demo: Convergence of Newton's Method</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Convergence of Newton's Method.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Convergence of Newton's Method.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Convergence of Newton's Method.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Convergence of Newton's Method.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Convergence of Newton's Method.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Convergence of the Secant Method.ipynb">Demo: Convergence of the Secant Method</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Convergence of the Secant Method.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Convergence of the Secant Method.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Convergence of the Secant Method.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Convergence of the Secant Method.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Convergence of the Secant Method.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Fixed point iteration.ipynb">Demo: Fixed point iteration</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Fixed point iteration.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Fixed point iteration.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Fixed point iteration.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Fixed point iteration.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Fixed point iteration.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Newton's Method.ipynb">Demo: Newton's Method</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Newton's Method.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Newton's Method.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Newton's Method.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Newton's Method.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Newton's Method.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Newton's method in n dimensions.ipynb">Demo: Newton's method in n dimensions</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Newton's method in n dimensions.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Newton's method in n dimensions.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Newton's method in n dimensions.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Newton's method in n dimensions.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Newton's method in n dimensions.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Rates of Convergence.ipynb">Demo: Rates of Convergence</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Rates of Convergence.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Rates of Convergence.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Rates of Convergence.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Rates of Convergence.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Rates of Convergence.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Secant Method.ipynb">Demo: Secant Method</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Secant Method.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Secant Method.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Secant Method.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Secant Method.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Secant Method.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Three quadratic functions.ipynb">Demo: Three quadratic functions</a>
          <ul>
            <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
              <a href="repocur:demos/upload/nonlinear/Three quadratic functions.html">View on the web</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/nonlinear/Three quadratic functions.ipynb">Run interactively</a>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/nonlinear/Three quadratic functions.ipynb">Run interactively with cleared input</a>
            </li>
            <li data-jstree='{"icon": "fa fa-terminal"}'>
              <a href="repocur:demos/upload/nonlinear/Three quadratic functions.py">Download Python script</a>
            </li>
            <li data-jstree='{"icon": "fa fa-download"}'>
              <a href="repocur:demos/upload/nonlinear/Three quadratic functions.ipynb">Download Jupyter notebook</a>
            </li>
          </ul>
        </li>
      </ul>
      

      • Optimization
        • Introduction

          <li data-jstree='{"icon": "fa fa-user"}'>
            <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-optimization-theory/start/">In-Class Activity: Optimization Theory</a>
          </li>
          <li data-jstree='{"icon": "fa fa-file-o"}'>
            Methods for unconstrained opt. in one dimension
          </li>
          <li data-jstree='{"icon": "fa fa-user"}'>
            <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-optimization-methods/start/">In-Class Activity: Optimization Methods</a>
          </li>
          <li data-jstree='{"icon": "fa fa-file-o"}'>
            Methods for unconstrained opt. in $n$  dimensions
          </li>
          <li data-jstree='{"icon": "fa fa-file-o"}'>
            Nonlinear Least Squares
          </li>
          <li data-jstree='{"icon": "fa fa-file-o"}'>
            Constrained Optimization
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Conjugate Gradient Method.ipynb">Demo: Conjugate Gradient Method</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Conjugate Gradient Method.html">View on the web</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Conjugate Gradient Method.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Conjugate Gradient Method.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Conjugate Gradient Method.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Conjugate Gradient Method.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Gauss-Newton.ipynb">Demo: Gauss-Newton</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Gauss-Newton.html">View on the web</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Gauss-Newton.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Gauss-Newton.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Gauss-Newton.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Gauss-Newton.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Golden Section Proportions.ipynb">Demo: Golden Section Proportions</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Golden Section Proportions.html">View on the web</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Golden Section Proportions.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Golden Section Proportions.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Golden Section Proportions.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Golden Section Proportions.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Nelder-Mead Method.ipynb">Demo: Nelder-Mead Method</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Nelder-Mead Method.html">View on the web</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Nelder-Mead Method.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Nelder-Mead Method.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Nelder-Mead Method.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Nelder-Mead Method.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Newton's Method in 1D.ipynb">Demo: Newton's Method in 1D</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Newton's Method in 1D.html">View on the web</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Newton's Method in 1D.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Newton's Method in 1D.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Newton's Method in 1D.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Newton's Method in 1D.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Newton's Method in n dimensions.ipynb">Demo: Newton's Method in n dimensions</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Newton's Method in n dimensions.html">View on the web</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Newton's Method in n dimensions.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Newton's Method in n dimensions.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Newton's Method in n dimensions.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Newton's Method in n dimensions.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Sequential Quadratic Programming.ipynb">Demo: Sequential Quadratic Programming</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Sequential Quadratic Programming.html">View on the web</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Sequential Quadratic Programming.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Sequential Quadratic Programming.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Sequential Quadratic Programming.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Sequential Quadratic Programming.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
          <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
            <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Steepest Descent.ipynb">Demo: Steepest Descent</a>
            <ul>
              <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                <a href="repocur:demos/upload/optimization/Steepest Descent.html">View on the web</a>
              </li>
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                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/optimization/Steepest Descent.ipynb">Run interactively</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/optimization/Steepest Descent.ipynb">Run interactively with cleared input</a>
              </li>
              <li data-jstree='{"icon": "fa fa-terminal"}'>
                <a href="repocur:demos/upload/optimization/Steepest Descent.py">Download Python script</a>
              </li>
              <li data-jstree='{"icon": "fa fa-download"}'>
                <a href="repocur:demos/upload/optimization/Steepest Descent.ipynb">Download Jupyter notebook</a>
              </li>
            </ul>
          </li>
        </ul>
        

        • Interpolation
          • Introduction

            <li data-jstree='{"icon": "fa fa-file-o"}'>
              Methods
            </li>
            <li data-jstree='{"icon": "fa fa-user"}'>
              <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-interpolation/start/">In-Class Activity: Interpolation</a>
            </li>
            <li data-jstree='{"icon": "fa fa-file-o"}'>
              Error Estimation
            </li>
            <li data-jstree='{"icon": "fa fa-file-o"}'>
              Piecewise interpolation, Splines
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Chebyshev interpolation.ipynb">Demo: Chebyshev interpolation</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Chebyshev interpolation.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Chebyshev interpolation.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Chebyshev interpolation.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Chebyshev interpolation.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Chebyshev interpolation.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Choice of Nodes for Polynomial Interpolation.ipynb">Demo: Choice of Nodes for Polynomial Interpolation</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Choice of Nodes for Polynomial Interpolation.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Choice of Nodes for Polynomial Interpolation.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Choice of Nodes for Polynomial Interpolation.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Choice of Nodes for Polynomial Interpolation.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Choice of Nodes for Polynomial Interpolation.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Composite Gauss Interpolation Error.ipynb">Demo: Composite Gauss Interpolation Error</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Composite Gauss Interpolation Error.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Composite Gauss Interpolation Error.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Composite Gauss Interpolation Error.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Composite Gauss Interpolation Error.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Composite Gauss Interpolation Error.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Interpolation Error.ipynb">Demo: Interpolation Error</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Interpolation Error.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Interpolation Error.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Interpolation Error.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Interpolation Error.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Interpolation Error.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Interpolation with Radial Basis Functions.ipynb">Demo: Interpolation with Radial Basis Functions</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Interpolation with Radial Basis Functions.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Interpolation with Radial Basis Functions.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Interpolation with Radial Basis Functions.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Interpolation with Radial Basis Functions.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Interpolation with Radial Basis Functions.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Jump with Chebyshev Nodes.ipynb">Demo: Jump with Chebyshev Nodes</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Jump with Chebyshev Nodes.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Jump with Chebyshev Nodes.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Jump with Chebyshev Nodes.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Jump with Chebyshev Nodes.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Jump with Chebyshev Nodes.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Monomial interpolation.ipynb">Demo: Monomial interpolation</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Monomial interpolation.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Monomial interpolation.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Monomial interpolation.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Monomial interpolation.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Monomial interpolation.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Orthogonal Polynomials.ipynb">Demo: Orthogonal Polynomials</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Orthogonal Polynomials.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Orthogonal Polynomials.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Orthogonal Polynomials.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Orthogonal Polynomials.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Orthogonal Polynomials.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Playing with Barycentric Interpolation.ipynb">Demo: Playing with Barycentric Interpolation</a>
              <ul>
                <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                  <a href="repocur:demos/upload/interpolation/Playing with Barycentric Interpolation.html">View on the web</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/interpolation/Playing with Barycentric Interpolation.ipynb">Run interactively</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/interpolation/Playing with Barycentric Interpolation.ipynb">Run interactively with cleared input</a>
                </li>
                <li data-jstree='{"icon": "fa fa-terminal"}'>
                  <a href="repocur:demos/upload/interpolation/Playing with Barycentric Interpolation.py">Download Python script</a>
                </li>
                <li data-jstree='{"icon": "fa fa-download"}'>
                  <a href="repocur:demos/upload/interpolation/Playing with Barycentric Interpolation.ipynb">Download Jupyter notebook</a>
                </li>
              </ul>
            </li>
          </ul>
          

          • Numerical Integration and Differentiation
            • Numerical Integration

              <li data-jstree='{"icon": "fa fa-file-o"}'>
                Quadrature Methods
              </li>
              <li data-jstree='{"icon": "fa fa-file-o"}'>
                Accuracy and Stability
              </li>
              <li data-jstree='{"icon": "fa fa-file-o"}'>
                Gaussian Quadrature
              </li>
              <li data-jstree='{"icon": "fa fa-file-o"}'>
                Composite Quadrature
              </li>
              <li data-jstree='{"icon": "fa fa-file-o"}'>
                Numerical Differentiation
              </li>
              <li data-jstree='{"icon": "fa fa-file-o"}'>
                Richardson Extrapolation
              </li>
              <li data-jstree='{"icon": "fa fa-user"}'>
                <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-quadrature/start/">In-Class Activity: Differentiation and Quadrature</a>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Accuracy of Newton-Cotes.ipynb">Demo: Accuracy of Newton-Cotes</a>
                <ul>
                  <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Accuracy of Newton-Cotes.html">View on the web</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/quadrature_and_diff/Accuracy of Newton-Cotes.ipynb">Run interactively</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Accuracy of Newton-Cotes.ipynb">Run interactively with cleared input</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-terminal"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Accuracy of Newton-Cotes.py">Download Python script</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-download"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Accuracy of Newton-Cotes.ipynb">Download Jupyter notebook</a>
                  </li>
                </ul>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Finite Differences vs Noise.ipynb">Demo: Finite Differences vs Noise</a>
                <ul>
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                    <a href="repocur:demos/upload/quadrature_and_diff/Finite Differences vs Noise.html">View on the web</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/quadrature_and_diff/Finite Differences vs Noise.ipynb">Run interactively</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Finite Differences vs Noise.ipynb">Run interactively with cleared input</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-terminal"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Finite Differences vs Noise.py">Download Python script</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-download"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Finite Differences vs Noise.ipynb">Download Jupyter notebook</a>
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                </ul>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Floating point vs Finite Differences.ipynb">Demo: Floating point vs Finite Differences</a>
                <ul>
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                    <a href="repocur:demos/upload/quadrature_and_diff/Floating point vs Finite Differences.html">View on the web</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/quadrature_and_diff/Floating point vs Finite Differences.ipynb">Run interactively</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Floating point vs Finite Differences.ipynb">Run interactively with cleared input</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-terminal"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Floating point vs Finite Differences.py">Download Python script</a>
                  </li>
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                    <a href="repocur:demos/upload/quadrature_and_diff/Floating point vs Finite Differences.ipynb">Download Jupyter notebook</a>
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                </ul>
              </li>
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                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Gaussian quadrature weight finder.ipynb">Demo: Gaussian quadrature weight finder</a>
                <ul>
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                    <a href="repocur:demos/upload/quadrature_and_diff/Gaussian quadrature weight finder.html">View on the web</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/quadrature_and_diff/Gaussian quadrature weight finder.ipynb">Run interactively</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Gaussian quadrature weight finder.ipynb">Run interactively with cleared input</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-terminal"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Gaussian quadrature weight finder.py">Download Python script</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-download"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Gaussian quadrature weight finder.ipynb">Download Jupyter notebook</a>
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                </ul>
              </li>
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                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Newton-Cotes weight finder.ipynb">Demo: Newton-Cotes weight finder</a>
                <ul>
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                    <a href="repocur:demos/upload/quadrature_and_diff/Newton-Cotes weight finder.html">View on the web</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/quadrature_and_diff/Newton-Cotes weight finder.ipynb">Run interactively</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Newton-Cotes weight finder.ipynb">Run interactively with cleared input</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-terminal"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Newton-Cotes weight finder.py">Download Python script</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-download"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Newton-Cotes weight finder.ipynb">Download Jupyter notebook</a>
                  </li>
                </ul>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Richardson with Finite Differences.ipynb">Demo: Richardson with Finite Differences</a>
                <ul>
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                    <a href="repocur:demos/upload/quadrature_and_diff/Richardson with Finite Differences.html">View on the web</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/quadrature_and_diff/Richardson with Finite Differences.ipynb">Run interactively</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Richardson with Finite Differences.ipynb">Run interactively with cleared input</a>
                  </li>
                  <li data-jstree='{"icon": "fa fa-terminal"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Richardson with Finite Differences.py">Download Python script</a>
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                  <li data-jstree='{"icon": "fa fa-download"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Richardson with Finite Differences.ipynb">Download Jupyter notebook</a>
                  </li>
                </ul>
              </li>
              <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Taking Derivatives with Vandermonde Matrices.ipynb">Demo: Taking Derivatives with Vandermonde Matrices</a>
                <ul>
                  <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Taking Derivatives with Vandermonde Matrices.html">View on the web</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/quadrature_and_diff/Taking Derivatives with Vandermonde Matrices.ipynb">Run interactively</a>
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                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/quadrature_and_diff/Taking Derivatives with Vandermonde Matrices.ipynb">Run interactively with cleared input</a>
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                  <li data-jstree='{"icon": "fa fa-terminal"}'>
                    <a href="repocur:demos/upload/quadrature_and_diff/Taking Derivatives with Vandermonde Matrices.py">Download Python script</a>
                  </li>
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                    <a href="repocur:demos/upload/quadrature_and_diff/Taking Derivatives with Vandermonde Matrices.ipynb">Download Jupyter notebook</a>
                  </li>
                </ul>
              </li>
            </ul>
            

            • Initial Value Problems for ODEs
              • Existence, Uniqueness, Conditioning

                <li data-jstree='{"icon": "fa fa-file-o"}'>
                  Numerical Methods (I)
                </li>
                <li data-jstree='{"icon": "fa fa-file-o"}'>
                  Accuracy and Stability
                </li>
                <li data-jstree='{"icon": "fa fa-file-o"}'>
                  Stiffness
                </li>
                <li data-jstree='{"icon": "fa fa-file-o"}'>
                  Numerical Methods (II)
                </li>
                <li data-jstree='{"icon": "fa fa-user"}'>
                  <a href="https://relate.cs.illinois.edu/course/cs450-f21/flow/inclass-ivp/start/">In-Class Activity: Initial Value Problems</a>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Backward Euler stability.ipynb">Demo: Backward Euler stability</a>
                  <ul>
                    <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                      <a href="repocur:demos/upload/ivp_odes/Backward Euler stability.html">View on the web</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/ivp_odes/Backward Euler stability.ipynb">Run interactively</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Backward Euler stability.ipynb">Run interactively with cleared input</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-terminal"}'>
                      <a href="repocur:demos/upload/ivp_odes/Backward Euler stability.py">Download Python script</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-download"}'>
                      <a href="repocur:demos/upload/ivp_odes/Backward Euler stability.ipynb">Download Jupyter notebook</a>
                    </li>
                  </ul>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Dissipation in Runge-Kutta Methods.ipynb">Demo: Dissipation in Runge-Kutta Methods</a>
                  <ul>
                    <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                      <a href="repocur:demos/upload/ivp_odes/Dissipation in Runge-Kutta Methods.html">View on the web</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/ivp_odes/Dissipation in Runge-Kutta Methods.ipynb">Run interactively</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Dissipation in Runge-Kutta Methods.ipynb">Run interactively with cleared input</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-terminal"}'>
                      <a href="repocur:demos/upload/ivp_odes/Dissipation in Runge-Kutta Methods.py">Download Python script</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-download"}'>
                      <a href="repocur:demos/upload/ivp_odes/Dissipation in Runge-Kutta Methods.ipynb">Download Jupyter notebook</a>
                    </li>
                  </ul>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Forward Euler stability.ipynb">Demo: Forward Euler stability</a>
                  <ul>
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                      <a href="repocur:demos/upload/ivp_odes/Forward Euler stability.html">View on the web</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/ivp_odes/Forward Euler stability.ipynb">Run interactively</a>
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                    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Forward Euler stability.ipynb">Run interactively with cleared input</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-terminal"}'>
                      <a href="repocur:demos/upload/ivp_odes/Forward Euler stability.py">Download Python script</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-download"}'>
                      <a href="repocur:demos/upload/ivp_odes/Forward Euler stability.ipynb">Download Jupyter notebook</a>
                    </li>
                  </ul>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Stability regions.ipynb">Demo: Stability regions</a>
                  <ul>
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                      <a href="repocur:demos/upload/ivp_odes/Stability regions.html">View on the web</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/ivp_odes/Stability regions.ipynb">Run interactively</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Stability regions.ipynb">Run interactively with cleared input</a>
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                    <li data-jstree='{"icon": "fa fa-terminal"}'>
                      <a href="repocur:demos/upload/ivp_odes/Stability regions.py">Download Python script</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-download"}'>
                      <a href="repocur:demos/upload/ivp_odes/Stability regions.ipynb">Download Jupyter notebook</a>
                    </li>
                  </ul>
                </li>
                <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                  <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Stiffness.ipynb">Demo: Stiffness</a>
                  <ul>
                    <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                      <a href="repocur:demos/upload/ivp_odes/Stiffness.html">View on the web</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/ivp_odes/Stiffness.ipynb">Run interactively</a>
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                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/ivp_odes/Stiffness.ipynb">Run interactively with cleared input</a>
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                    <li data-jstree='{"icon": "fa fa-terminal"}'>
                      <a href="repocur:demos/upload/ivp_odes/Stiffness.py">Download Python script</a>
                    </li>
                    <li data-jstree='{"icon": "fa fa-download"}'>
                      <a href="repocur:demos/upload/ivp_odes/Stiffness.ipynb">Download Jupyter notebook</a>
                    </li>
                  </ul>
                </li>
              </ul>
              

              • Boundary Value Problems for ODEs
                • Existence, Uniqueness, Conditioning

                  <li data-jstree='{"icon": "fa fa-file-o"}'>
                    Numerical Methods
                  </li>
                  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/bvp_odes/Finite differences.ipynb">Demo: Finite differences</a>
                    <ul>
                      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                        <a href="repocur:demos/upload/bvp_odes/Finite differences.html">View on the web</a>
                      </li>
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                        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/bvp_odes/Finite differences.ipynb">Run interactively</a>
                      </li>
                      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/bvp_odes/Finite differences.ipynb">Run interactively with cleared input</a>
                      </li>
                      <li data-jstree='{"icon": "fa fa-terminal"}'>
                        <a href="repocur:demos/upload/bvp_odes/Finite differences.py">Download Python script</a>
                      </li>
                      <li data-jstree='{"icon": "fa fa-download"}'>
                        <a href="repocur:demos/upload/bvp_odes/Finite differences.ipynb">Download Jupyter notebook</a>
                      </li>
                    </ul>
                  </li>
                  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/bvp_odes/Shooting method.ipynb">Demo: Shooting method</a>
                    <ul>
                      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                        <a href="repocur:demos/upload/bvp_odes/Shooting method.html">View on the web</a>
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                        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/bvp_odes/Shooting method.ipynb">Run interactively</a>
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                      <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/bvp_odes/Shooting method.ipynb">Run interactively with cleared input</a>
                      </li>
                      <li data-jstree='{"icon": "fa fa-terminal"}'>
                        <a href="repocur:demos/upload/bvp_odes/Shooting method.py">Download Python script</a>
                      </li>
                      <li data-jstree='{"icon": "fa fa-download"}'>
                        <a href="repocur:demos/upload/bvp_odes/Shooting method.ipynb">Download Jupyter notebook</a>
                      </li>
                    </ul>
                  </li>
                  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                    <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/bvp_odes/Sparse matrices.ipynb">Demo: Sparse matrices</a>
                    <ul>
                      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                        <a href="repocur:demos/upload/bvp_odes/Sparse matrices.html">View on the web</a>
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                        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/bvp_odes/Sparse matrices.ipynb">Run interactively</a>
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                        <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/bvp_odes/Sparse matrices.ipynb">Run interactively with cleared input</a>
                      </li>
                      <li data-jstree='{"icon": "fa fa-terminal"}'>
                        <a href="repocur:demos/upload/bvp_odes/Sparse matrices.py">Download Python script</a>
                      </li>
                      <li data-jstree='{"icon": "fa fa-download"}'>
                        <a href="repocur:demos/upload/bvp_odes/Sparse matrices.ipynb">Download Jupyter notebook</a>
                      </li>
                    </ul>
                  </li>
                </ul>
                

                • Partial Differential Equations and Sparse Linear Algebra
                  • Sparse Linear Algebra

                    <li data-jstree='{"icon": "fa fa-file-o"}'>
                      PDEs
                    </li>
                    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Jacobi vs Conjugate Gradient.ipynb">Demo: Jacobi vs Conjugate Gradient</a>
                      <ul>
                        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                          <a href="repocur:demos/upload/pdes/Jacobi vs Conjugate Gradient.html">View on the web</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/pdes/Jacobi vs Conjugate Gradient.ipynb">Run interactively</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Jacobi vs Conjugate Gradient.ipynb">Run interactively with cleared input</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-terminal"}'>
                          <a href="repocur:demos/upload/pdes/Jacobi vs Conjugate Gradient.py">Download Python script</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-download"}'>
                          <a href="repocur:demos/upload/pdes/Jacobi vs Conjugate Gradient.ipynb">Download Jupyter notebook</a>
                        </li>
                      </ul>
                    </li>
                    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Sparse Matrix Factorizations and Fill-In.ipynb">Demo: Sparse Matrix Factorizations and Fill-In</a>
                      <ul>
                        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                          <a href="repocur:demos/upload/pdes/Sparse Matrix Factorizations and Fill-In.html">View on the web</a>
                        </li>
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                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/pdes/Sparse Matrix Factorizations and Fill-In.ipynb">Run interactively</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Sparse Matrix Factorizations and Fill-In.ipynb">Run interactively with cleared input</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-terminal"}'>
                          <a href="repocur:demos/upload/pdes/Sparse Matrix Factorizations and Fill-In.py">Download Python script</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-download"}'>
                          <a href="repocur:demos/upload/pdes/Sparse Matrix Factorizations and Fill-In.ipynb">Download Jupyter notebook</a>
                        </li>
                      </ul>
                    </li>
                    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Stationary Iterative Methods.ipynb">Demo: Stationary Iterative Methods</a>
                      <ul>
                        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                          <a href="repocur:demos/upload/pdes/Stationary Iterative Methods.html">View on the web</a>
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                        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/pdes/Stationary Iterative Methods.ipynb">Run interactively</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Stationary Iterative Methods.ipynb">Run interactively with cleared input</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-terminal"}'>
                          <a href="repocur:demos/upload/pdes/Stationary Iterative Methods.py">Download Python script</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-download"}'>
                          <a href="repocur:demos/upload/pdes/Stationary Iterative Methods.ipynb">Download Jupyter notebook</a>
                        </li>
                      </ul>
                    </li>
                    <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                      <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Time-dependent PDEs.ipynb">Demo: Time-dependent PDEs</a>
                      <ul>
                        <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
                          <a href="repocur:demos/upload/pdes/Time-dependent PDEs.html">View on the web</a>
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                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/pdes/Time-dependent PDEs.ipynb">Run interactively</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                          <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/pdes/Time-dependent PDEs.ipynb">Run interactively with cleared input</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-terminal"}'>
                          <a href="repocur:demos/upload/pdes/Time-dependent PDEs.py">Download Python script</a>
                        </li>
                        <li data-jstree='{"icon": "fa fa-download"}'>
                          <a href="repocur:demos/upload/pdes/Time-dependent PDEs.ipynb">Download Jupyter notebook</a>
                        </li>
                      </ul>
                    </li>
                  </ul>
                  

                  • Fast Fourier Transform
                  • Additional Topics
                    • Demo: An Introduction to Sympy
                      • View on the web

                            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=demos/misc/An Introduction to Sympy.ipynb">Run interactively</a>
                            </li>
                            <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
                              <a href="https://mybinder.org/v2/gh/inducer/numerics-notes/main?filepath=cleared-demos/misc/An Introduction to Sympy.ipynb">Run interactively with cleared input</a>
                            </li>
                            <li data-jstree='{"icon": "fa fa-terminal"}'>
                              <a href="repocur:demos/upload/misc/An Introduction to Sympy.py">Download Python script</a>
                            </li>
                            <li data-jstree='{"icon": "fa fa-download"}'>
                              <a href="repocur:demos/upload/misc/An Introduction to Sympy.ipynb">Download Jupyter notebook</a>
                            </li>
                          </ul>
                        </li>
                      </ul>