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Numerical Analysis (CS 450) Fall 2018

What	Where
Time/place	MW 3:30pm-4:45pm 1320 DCL / Catalog
Class URL	https://relate.cs.illinois.edu/course/cs450-f18/
Class recordings	Echo 360 Video »
Web forum	View Piazza »
Calendar	View Calendar »

Quizzes

The latest five quizzes will be posted below. To access all previous quizzes, go to (Participant, View Grades, follow desired flow grade link, follow arrow flow link). Quizzes will be due by the start of the subsequent lecture.

Quiz 24: Discretization of ODEs using Basis Functions and Basics of PDEs »

Quiz 23: Numerical Solution to ODE BVPs »

Quiz 22: Numerical Solutions to ODEs »

Quiz 21: Composite and Gaussian Quadrature »

Quiz 20: Numerical Quadrature Rules »

Examlets

Three 1-hour examlets will be given electronically in CBTF during the semester and the final is also likley to be in CBTF. Please find information on examlet dates in the class calendar. Reserve your time slots in the testing facility as soon as possible--otherwise your preferred times may no longer be available.

Homework

There will be 6 Homework assignments, released/due on a biweekly basis. They will generally be due at 10 pm Fridays.

Homework 1 » 4-Credit Hour Addendum to Homework 1 »

Homework 2 » 4-Credit Hour Addendum to Homework 2 »

Homework 3 » 4-Credit Hour Addendum to Homework 3 »

Homework 4 » 4-Credit Hour Addendum to Homework 4 »

Homework 5 » 4-Credit Hour Addendum to Homework 5 »

Homework 6 » Addendum to Homework 6 (extra credit for everyone) »

Assignments for 4 Credit-Hour Section

If you are enrolled in CS 450 for 4 credit hours, you will need to complete an addendums for each of the first 5 Homeworks, which will be due one week after the main part of the homework. See the calendar for all homework due dates.

Course Outline

1. Chapter 1: Scientific Computing

Notes (Michael T. Heath)

Lecture Notes

  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-1">Quiz 1: Policies</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-2">Quiz 2: Error, Conditioning, and Floating Point</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-fp">In-class Activity: Cancellation in Standard Deviation Computation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Catastrophic Cancellation.html">Demo: Catastrophic Cancellation</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Catastrophic Cancellation.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Catastrophic Cancellation.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Catastrophic Cancellation.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Conditioning of Evaluating tan.html">Demo: Conditioning of Evaluating tan</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Conditioning of Evaluating tan.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Conditioning of Evaluating tan.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Conditioning of Evaluating tan.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Density of Floating Point Numbers.html">Demo: Density of Floating Point Numbers</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Density of Floating Point Numbers.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Density of Floating Point Numbers.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Density of Floating Point Numbers.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Floating Point and the Series for the Exponential Function.html">Demo: Floating Point and the Series for the Exponential Function</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating Point and the Series for the Exponential Function.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating Point and the Series for the Exponential Function.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating Point and the Series for the Exponential Function.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Floating Point vs Program Logic.html">Demo: Floating Point vs Program Logic</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating Point vs Program Logic.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating Point vs Program Logic.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating Point vs Program Logic.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Floating point and the Harmonic Series.html">Demo: Floating point and the Harmonic Series</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating point and the Harmonic Series.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating point and the Harmonic Series.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Floating point and the Harmonic Series.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Picking apart a floating point number.html">Demo: Picking apart a floating point number</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Picking apart a floating point number.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Picking apart a floating point number.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Picking apart a floating point number.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Polynomial Evaluation Floating Point.html">Demo: Polynomial Evaluation Floating Point</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Polynomial Evaluation Floating Point.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Polynomial Evaluation Floating Point.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Polynomial Evaluation Floating Point.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Truncation vs Rounding.html">Demo: Truncation vs Rounding</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Truncation vs Rounding.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Truncation vs Rounding.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Truncation vs Rounding.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/01-error-and-fp/Vector Norms.html">Demo: Vector Norms</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/01-error-and-fp/Vector Norms.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/01-error-and-fp/Vector Norms.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/01-error-and-fp/Vector Norms.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

2. Chapter 2: Systems of Linear Equations

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/02-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/03-lecture-scribbles.pdf">Lecture 3 Live Scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/04-lecture-scribbles.pdf">Lecture 4 Live Scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/05-lecture-scribbles.pdf">Lecture 5 Live Scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/05-lecture-scribbles2.pdf">Lecture 5 Live Scribbles Part 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-3">Quiz 3: Floating Point, Matrix Norms, and Matrix Condition Number</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-4">Quiz 4: Matrix Conditioning and Error in Linear Systems</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-5">Quiz 5: Gaussian Elimination</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-6">Quiz 6: Stability and Matrix Structure in Solving Linear Systems</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-svdnorm">In-class Activity: Singular Value Decomposition and Norms</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-sherman-morrison-woodbury">In-class Activity: Sherman-Morrison-Woodbury Formula</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Coding back-substitution.html">Demo: Coding back-substitution</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Coding back-substitution.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Coding back-substitution.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Coding back-substitution.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Complexity of Mat-Mat multiplication and LU.html">Demo: Complexity of Mat-Mat multiplication and LU</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Complexity of Mat-Mat multiplication and LU.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Complexity of Mat-Mat multiplication and LU.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Complexity of Mat-Mat multiplication and LU.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Condition number visualized.html">Demo: Condition number visualized</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Condition number visualized.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Condition number visualized.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Condition number visualized.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Conditioning of 2x2 Matrices.html">Demo: Conditioning of 2x2 Matrices</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Conditioning of 2x2 Matrices.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Conditioning of 2x2 Matrices.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Conditioning of 2x2 Matrices.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Elimination Matrices I.html">Demo: Elimination Matrices I</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Elimination Matrices I.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Elimination Matrices I.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Elimination Matrices I.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Elimination Matrices II.html">Demo: Elimination Matrices II</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Elimination Matrices II.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Elimination Matrices II.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Elimination Matrices II.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/LU factorization.html">Demo: LU factorization</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/LU factorization.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/LU factorization.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/LU factorization.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/LU with Partial Pivoting.html">Demo: LU with Partial Pivoting</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/LU with Partial Pivoting.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/LU with Partial Pivoting.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/LU with Partial Pivoting.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Matrix norms.html">Demo: Matrix norms</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Matrix norms.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Matrix norms.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Matrix norms.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Sherman-Morrison.html">Demo: Sherman-Morrison</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Sherman-Morrison.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Sherman-Morrison.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Sherman-Morrison.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/02-linear-systems/Vanilla Gaussian Elimination.html">Demo: Vanilla Gaussian Elimination</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/02-linear-systems/Vanilla Gaussian Elimination.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/02-linear-systems/Vanilla Gaussian Elimination.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/02-linear-systems/Vanilla Gaussian Elimination.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

3. Chapter 3: Linear Least Squares

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/03-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/06-lecture-scribbles.pdf">Lecture 6 Live Scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/08-lecture-scribbles.pdf">Lecture 8 Live Scribbles</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-7">Quiz 7: Least Squares and QR Factorization</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-8">Quiz 8: Least squares algorithms and rank-deficiency</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-householder">In-class Activity: Householder QR</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-pinv">In-class Activity: Rank Deficient Least Squares Problems</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/3x3 Givens demo.html">Demo: 3x3 Givens demo</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/3x3 Givens demo.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/3x3 Givens demo.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/3x3 Givens demo.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/3x3 Householder demo.html">Demo: 3x3 Householder demo</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/3x3 Householder demo.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/3x3 Householder demo.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/3x3 Householder demo.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/Gram-Schmidt and Modified Gram-Schmidt.html">Demo: Gram-Schmidt and Modified Gram-Schmidt</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Gram-Schmidt and Modified Gram-Schmidt.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Gram-Schmidt and Modified Gram-Schmidt.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-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="repo:demos/upload/03-least-squares/Gram-Schmidt--The Movie.html">Demo: Gram-Schmidt--The Movie</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Gram-Schmidt--The Movie.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Gram-Schmidt--The Movie.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/Gram-Schmidt--The Movie.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/Image compression.html">Demo: Image compression</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Image compression.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Image compression.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/Image compression.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/Interactive Polynomial Fit.html">Demo: Interactive Polynomial Fit</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Interactive Polynomial Fit.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Interactive Polynomial Fit.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/Interactive Polynomial Fit.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/Issues with the normal equations.html">Demo: Issues with the normal equations</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Issues with the normal equations.html">View on the web</a>
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        <a href="repo:demos/upload/03-least-squares/Issues with the normal equations.py">Download Python script</a>
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      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/Issues with the normal equations.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/Keeping track of coefficients in Gram-Schmidt.html">Demo: Keeping track of coefficients in Gram-Schmidt</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Keeping track of coefficients in Gram-Schmidt.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Keeping track of coefficients in Gram-Schmidt.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-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="repo:demos/upload/03-least-squares/Normal equations vs Pseudoinverse.html">Demo: Normal equations vs Pseudoinverse</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Normal equations vs Pseudoinverse.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Normal equations vs Pseudoinverse.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/Normal equations vs Pseudoinverse.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/03-least-squares/Polynomial fitting with the normal equations.html">Demo: Polynomial fitting with the normal equations</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Polynomial fitting with the normal equations.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Polynomial fitting with the normal equations.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-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="repo:demos/upload/03-least-squares/Relative cost of matrix factorizations.html">Demo: Relative cost of matrix factorizations</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/03-least-squares/Relative cost of matrix factorizations.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/03-least-squares/Relative cost of matrix factorizations.py">Download Python script</a>
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      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/03-least-squares/Relative cost of matrix factorizations.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
</ul>

4. Chapter 4: Eigenvalue Problems

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/04-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/04-scribbles.pdf">Chapter 4 in-class scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/04-scribbles-2.pdf">Chapter 4 in-class scribbles 2</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/04-scribbles-3.pdf">Chapter 4 in-class scribbles 3</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/04-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-9">Quiz 9: Conditioning and Basic Algorithms for Eigenvalue Problems</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-10">Quiz 10: Canonical Forms for Eigenvalue Problems and Deflation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-11">Quiz 11: Schur Decomposition and QR Iteration</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-12">Quiz 12: Tridiagonal Eigenproblems and Krylov Subspace Methods</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-eig">In-class Activity: Inverse Iteration with a Shift</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-rayleigh">In-class Activity: Rayleigh Quotient Iteration</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-tri-eig">In-class Activity: Calculating Eigenpairs of Triangular Matrix</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-orthogonal-iteration">In-class Activity: Orthogonal Iteration</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-qr-iteration">In-class Activity: QR Iteration</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-ritz">In-class Activity: Computing the Maximum Ritz Value</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-eig-methods-for-low-rank">In-class Activity: Approximation with Orthogonal Iteration and Lanczos</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration with Complex Eigenvalues.html">Demo: Arnoldi Iteration with Complex Eigenvalues</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration with Complex Eigenvalues.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration with Complex Eigenvalues.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration with Complex Eigenvalues.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration.html">Demo: Arnoldi Iteration</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi Iteration.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/04-eigenvalues/Arnoldi vs Power Iteration.html">Demo: Arnoldi vs Power Iteration</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi vs Power Iteration.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi vs Power Iteration.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/04-eigenvalues/Arnoldi vs Power Iteration.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/04-eigenvalues/Householder Similarity Transforms.html">Demo: Householder Similarity Transforms</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/04-eigenvalues/Householder Similarity Transforms.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/04-eigenvalues/Householder Similarity Transforms.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/04-eigenvalues/Householder Similarity Transforms.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/04-eigenvalues/Orthogonal Iteration.html">Demo: Orthogonal Iteration</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/04-eigenvalues/Orthogonal Iteration.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/04-eigenvalues/Orthogonal Iteration.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/04-eigenvalues/Orthogonal Iteration.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/04-eigenvalues/Power iteration and its Variants.html">Demo: Power iteration and its Variants</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/04-eigenvalues/Power iteration and its Variants.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/04-eigenvalues/Power iteration and its Variants.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/04-eigenvalues/Power iteration and its Variants.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/04-eigenvalues/Rounding in characteristic polynomial using SymPy.html">Demo: Rounding in characteristic polynomial using SymPy</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/04-eigenvalues/Rounding in characteristic polynomial using SymPy.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/04-eigenvalues/Rounding in characteristic polynomial using SymPy.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/04-eigenvalues/Rounding in characteristic polynomial using SymPy.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

5. Chapter 5: Nonlinear Equations

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/05-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/05-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/05-scribbles.pdf">Chapter 5 in-class scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/05-scribbles-2.pdf">Chapter 5 in-class scribbles 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-13">Quiz 13: Basic Methods for Solving Nonlinear Equations</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-14">Quiz 14: Cost and Robustness of Methods for Solving Nonlinear Equations</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-newton-2-by-2">In-class Activity: Newton's Method for 2-by-2 System of Equations</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-broyden">In-class Activity: Broyden's Method</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Bisection Method.html">Demo: Bisection Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Bisection Method.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Bisection Method.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Bisection Method.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Convergence of Newton's Method.html">Demo: Convergence of Newton's Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Convergence of Newton's Method.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Convergence of Newton's Method.py">Download Python script</a>
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      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Convergence of Newton's Method.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Convergence of the Secant Method.html">Demo: Convergence of the Secant Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Convergence of the Secant Method.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Convergence of the Secant Method.py">Download Python script</a>
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      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Convergence of the Secant Method.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Fixed point iteration.html">Demo: Fixed point iteration</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Fixed point iteration.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Fixed point iteration.py">Download Python script</a>
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      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Fixed point iteration.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Newton's Method.html">Demo: Newton's Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Newton's Method.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Newton's Method.py">Download Python script</a>
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      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Newton's Method.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Newton's method in n dimensions.html">Demo: Newton's method in n dimensions</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Newton's method in n dimensions.html">View on the web</a>
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      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Newton's method in n dimensions.py">Download Python script</a>
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      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Newton's method in n dimensions.ipynb">Download Jupyter notebook</a>
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    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Rates of Convergence.html">Demo: Rates of Convergence</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Rates of Convergence.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Rates of Convergence.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Rates of Convergence.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Secant Method.html">Demo: Secant Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Secant Method.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Secant Method.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Secant Method.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/05-nonlinear-equations/Three quadratic functions.html">Demo: Three quadratic functions</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Three quadratic functions.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Three quadratic functions.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/05-nonlinear-equations/Three quadratic functions.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-file-text-o"}'>
    <a href="repocur:demos/upload/05-nonlinear-equations/three-quadratics.py">Code: three-quadratics.py</a>
  </li>
</ul>

6. Chapter 6: Optimization

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/06-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/06-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/06-scribbles.pdf">Chapter 6 in-class scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/06-scribbles-2.pdf">Chapter 6 in-class scribbles, part 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-15">Quiz 15: Optimization Problems and Algorithms for 1D Optimization</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-16">Quiz 16: Multidimensional Unconstrained Optimization Algorithms</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-17">Quiz 17: Nonlinear Least Squares and Constrained Optimization</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Conjugate Gradient Method.html">Demo: Conjugate Gradient Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Conjugate Gradient Method.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Conjugate Gradient Method.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Conjugate Gradient Method.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Conjugate Gradient Parallel Tangents as Krylov Subspace Method.html">Demo: Conjugate Gradient Parallel Tangents as Krylov Subspace Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Conjugate Gradient Parallel Tangents as Krylov Subspace Method.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Conjugate Gradient Parallel Tangents as Krylov Subspace Method.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Conjugate Gradient Parallel Tangents as Krylov Subspace Method.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Gauss-Newton.html">Demo: Gauss-Newton</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Gauss-Newton.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Gauss-Newton.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Gauss-Newton.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Golden Section Proportions.html">Demo: Golden Section Proportions</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Golden Section Proportions.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Golden Section Proportions.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Golden Section Proportions.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Nelder-Mead Method.html">Demo: Nelder-Mead Method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Nelder-Mead Method.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Nelder-Mead Method.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Nelder-Mead Method.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Newton's Method in 1D.html">Demo: Newton's Method in 1D</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Newton's Method in 1D.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Newton's Method in 1D.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Newton's Method in 1D.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Newton's Method in n dimensions.html">Demo: Newton's Method in n dimensions</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Newton's Method in n dimensions.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Newton's Method in n dimensions.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-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="repo:demos/upload/06-optimization/Sequential Quadratic Programming.html">Demo: Sequential Quadratic Programming</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Sequential Quadratic Programming.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Sequential Quadratic Programming.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Sequential Quadratic Programming.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/06-optimization/Steepest Descent.html">Demo: Steepest Descent</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/06-optimization/Steepest Descent.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/06-optimization/Steepest Descent.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/06-optimization/Steepest Descent.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

7. Chapter 7: Interpolation

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/07-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/07-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/07-scribbles.pdf">Chapter 7 in-class scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/07-scribbles-2.pdf">Chapter 7 in-class scribbles 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-18">Quiz 18: Basics of Interpolation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-19">Quiz 19: Orthogonal and Piecewise Interpolation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-interpolation-monomial">In-class Activity: Monomial Interpolation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-chebyshev">In-class Activity: Chebyshev Interpolation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/07-interpolation/Chebyshev interpolation.html">Demo: Chebyshev interpolation</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Chebyshev interpolation.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Chebyshev interpolation.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-interpolation/Chebyshev interpolation.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/07-interpolation/Choice of Nodes for Polynomial Interpolation.html">Demo: Choice of Nodes for Polynomial Interpolation</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Choice of Nodes for Polynomial Interpolation.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Choice of Nodes for Polynomial Interpolation.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-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="repo:demos/upload/07-interpolation/Composite Gauss Interpolation Error.html">Demo: Composite Gauss Interpolation Error</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Composite Gauss Interpolation Error.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Composite Gauss Interpolation Error.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-interpolation/Composite Gauss Interpolation Error.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/07-interpolation/Interpolation Error.html">Demo: Interpolation Error</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Interpolation Error.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Interpolation Error.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-interpolation/Interpolation Error.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/07-interpolation/Interpolation with Radial Basis Functions.html">Demo: Interpolation with Radial Basis Functions</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Interpolation with Radial Basis Functions.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Interpolation with Radial Basis Functions.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-interpolation/Interpolation with Radial Basis Functions.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/07-interpolation/Jump with Chebyshev Nodes.html">Demo: Jump with Chebyshev Nodes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Jump with Chebyshev Nodes.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Jump with Chebyshev Nodes.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-interpolation/Jump with Chebyshev Nodes.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/07-interpolation/Monomial interpolation.html">Demo: Monomial interpolation</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Monomial interpolation.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Monomial interpolation.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-interpolation/Monomial interpolation.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/07-interpolation/Orthogonal Polynomials.html">Demo: Orthogonal Polynomials</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/07-interpolation/Orthogonal Polynomials.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/07-interpolation/Orthogonal Polynomials.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/07-interpolation/Orthogonal Polynomials.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

8. Chapter 8: Numerical Integration and Differentiation

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/08-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/08-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/08-scribbles.pdf">Chapter 8 in-class scribbles (Luke Olson)</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/08-scribbles-2.pdf">Chapter 8 in-class scribbles 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-20">Quiz 20: Numerical Quadrature Rules</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-21">Quiz 21: Composite and Gaussian Quadrature</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-richardson">In-class Activity: Richardson Extrapolation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/08-quadrature-and-differentiation/Accuracy of Newton-Cotes.html">Demo: Accuracy of Newton-Cotes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Accuracy of Newton-Cotes.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Accuracy of Newton-Cotes.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Accuracy of Newton-Cotes.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/08-quadrature-and-differentiation/Finite Differences vs Noise.html">Demo: Finite Differences vs Noise</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Finite Differences vs Noise.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Finite Differences vs Noise.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Finite Differences vs Noise.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/08-quadrature-and-differentiation/Floating point vs Finite Differences.html">Demo: Floating point vs Finite Differences</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Floating point vs Finite Differences.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Floating point vs Finite Differences.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Floating point vs Finite Differences.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/08-quadrature-and-differentiation/Gaussian quadrature weight finder.html">Demo: Gaussian quadrature weight finder</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Gaussian quadrature weight finder.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Gaussian quadrature weight finder.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Gaussian quadrature weight finder.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/08-quadrature-and-differentiation/Newton-Cotes weight finder.html">Demo: Newton-Cotes weight finder</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Newton-Cotes weight finder.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Newton-Cotes weight finder.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Newton-Cotes weight finder.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/08-quadrature-and-differentiation/Richardson with Finite Differences.html">Demo: Richardson with Finite Differences</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Richardson with Finite Differences.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Richardson with Finite Differences.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Richardson with Finite Differences.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/08-quadrature-and-differentiation/Taking Derivatives with Vandermonde Matrices.html">Demo: Taking Derivatives with Vandermonde Matrices</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Taking Derivatives with Vandermonde Matrices.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Taking Derivatives with Vandermonde Matrices.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/08-quadrature-and-differentiation/Taking Derivatives with Vandermonde Matrices.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

9. Chapter 9: Initial Value Problems for ODEs

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/09-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/09-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/09-scribbles.pdf">Chapter 9 in-class scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/09-scribbles-2.pdf">Chapter 9 in-class scribbles 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-22">Quiz 22: Numerical Solutions to ODEs</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-backward-euler">In-class Activity: Backward Euler Method</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/09-initial-value-problems/Backward Euler stability.html">Demo: Backward Euler stability</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Backward Euler stability.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Backward Euler stability.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Backward Euler stability.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/09-initial-value-problems/Dissipation in Runge-Kutta Methods.html">Demo: Dissipation in Runge-Kutta Methods</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Dissipation in Runge-Kutta Methods.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Dissipation in Runge-Kutta Methods.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Dissipation in Runge-Kutta Methods.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/09-initial-value-problems/Forward Euler stability.html">Demo: Forward Euler stability</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Forward Euler stability.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Forward Euler stability.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Forward Euler stability.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/09-initial-value-problems/Stability regions.html">Demo: Stability regions</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Stability regions.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Stability regions.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Stability regions.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/09-initial-value-problems/Stiffness.html">Demo: Stiffness</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Stiffness.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Stiffness.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/09-initial-value-problems/Stiffness.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

10. Chapter 10: Boundary Value Problems for ODEs

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/10-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/10-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/10-scribbles.pdf">Chapter 10 in-class scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/10-scribbles-2.pdf">Chapter 10 in-class scribbles 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-23">Quiz 23: Numerical Solutions to ODE BVPs</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:quiz-24">Quiz 24: Discretization of ODEs using Basis Functions and Basics of PDEs</a>
  </li>
  <li data-jstree='{"icon": "fa fa-check-circle"}'>
    <a href="flow:inclass-ode-bvp-poisson">In-class Activity: Solving the 1D Poisson Equation</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/10-boundary-value-problems/Finite differences.html">Demo: Finite differences</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Finite differences.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Finite differences.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Finite differences.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/10-boundary-value-problems/Shooting method.html">Demo: Shooting method</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Shooting method.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Shooting method.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Shooting method.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/10-boundary-value-problems/Sparse matrices.html">Demo: Sparse matrices</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Sparse matrices.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Sparse matrices.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/10-boundary-value-problems/Sparse matrices.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

11. Chapter 11: Partial Differential Equations

Notes (Michael T. Heath)

Lecture notes write-in template

      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/11-scribbles.pdf">Chapter 11 in-class scribbles</a>
      </li>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/scribbles/11-scribbles-2.pdf">Chapter 11 in-class scribbles 2</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/11-lecture.pdf">Lecture Notes</a>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/11-sparse-matrices-pdes/Jacobi vs Conjugate Gradient.html">Demo: Jacobi vs Conjugate Gradient</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Jacobi vs Conjugate Gradient.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Jacobi vs Conjugate Gradient.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Jacobi vs Conjugate Gradient.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/11-sparse-matrices-pdes/Sparse Matrix Factorizations and Fill-In.html">Demo: Sparse Matrix Factorizations and Fill-In</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Sparse Matrix Factorizations and Fill-In.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Sparse Matrix Factorizations and Fill-In.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/11-sparse-matrices-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="repo:demos/upload/11-sparse-matrices-pdes/Stationary Iterative Methods.html">Demo: Stationary Iterative Methods</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Stationary Iterative Methods.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Stationary Iterative Methods.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Stationary Iterative Methods.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/11-sparse-matrices-pdes/Time-dependent PDEs.html">Demo: Time-dependent PDEs</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Time-dependent PDEs.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Time-dependent PDEs.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/11-sparse-matrices-pdes/Time-dependent PDEs.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

12. Chapter 12: Fast Fourier Transform

Notes (Michael T. Heath)

  <li data-jstree='{"icon": "fa fa-book"}'>
    <a href="repocur:lectures/12-lecture.pdf">Lecture Notes</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-book"}'>
        <a href="repocur:lectures/12-lecture-unfilled.pdf">Lecture notes write-in template</a>
      </li>
    </ul>
  </li>
  <li data-jstree='{"icon": "fa fa-keyboard-o"}'>
    <a href="repo:demos/upload/12-fft/Fast Fourier Transform.html">Demo: Fast Fourier Transform</a>
    <ul>
      <li data-jstree='{"icon": "fa fa-newspaper-o"}'>
        <a href="repo:demos/upload/12-fft/Fast Fourier Transform.html">View on the web</a>
      </li>
      <li data-jstree='{"icon": "fa fa-terminal"}'>
        <a href="repo:demos/upload/12-fft/Fast Fourier Transform.py">Download Python script</a>
      </li>
      <li data-jstree='{"icon": "fa fa-download"}'>
        <a href="repo:demos/upload/12-fft/Fast Fourier Transform.ipynb">Download Jupyter notebook</a>
      </li>
    </ul>
  </li>
</ul>

13. Chapter 13: Random Numbers and Simulation
- Notes (Michael T. Heath)

Team

Edgar Solomonik

Edgar Solomonik

(Instructor)

Email: solomon2@illinois.edu

Office: 4229 Siebel

Hao Gao

Hao Gao

(TA)

Email: haogao2@illinois.edu

Office: 0207 Siebel

Raul Platero

Raul Platero

(TA)

Email: platero2@illinois.edu

Office: 0207 Siebel

Isuru Fernando

Isuru Fernando

(TA)

Email: idf2@illinois.edu

Office: 0207 Siebel

Kaushik Kulkarni

Kaushik Kulkarni

(TA)

Email: kgk2@illinois.edu

Office: 0207 Siebel

Textbook

Scientific Computing: An Introductory Survey

Scientific Computing: An Introductory Survey

Michael T. Heath, Second Edition, McGraw-Hill.

Resource site

Computing

We will be using Python with the libraries numpy, scipy and matplotlib for in-class work and assignments. No other languages are permitted. Python has a very gentle learning curve, so you should feel at home even if you've never done any work in Python.

Virtual Machine Image

While you are free to install Python and Numpy on your own computer to do homework, the only supported way to do so is using the supplied virtual machine image.

Download Virtual Machine »

Grading Policies

View policies »

Previous Editions of CS 450

Additional Text Resources

Linear Algebra and Its Applications Gilbert Strang, 4th Edition, Harcourt Brace, 1987 (on reserve at Grainger).
Numerical Linear Algebra Lloyd Trefethen and David Bau, SIAM, 1997 (on reserve at Grainger).
Applied Numerical Linear Algebra James Demmel, SIAM, 1997 (on reserve at Grainger).
Matrix Computations Gene Golub and Charles Van Loan, 4th Edition, The John's Hopkins University Press, 2013.
Numerical Recipes William Press, Saul Teukolsky, William Vetterling, and Brian Flannery, 3rd Edition, Cambridge University Press, 2007.

Python Help

(see section 1 of the outline for more)

Python tutorial
Facts and myths about Python names and values
Learn Python the hard way
Project Euler (Lots of practice problems)

Python Workshop Material

Video: Located on Echo 360 along with the other class recordings
Tutorial material
Scipy lecture notes
CSE workshop training material

Numpy Help

(see section 1 of the outline for more)

Introduction to Python for Science
The SciPy lectures
The Numpy MedKit by Stéfan van der Walt
The Numpy User Guide by Travis Oliphant
Numpy/Scipy documentation
More in this reddit thread
Spyder (a Python IDE, like Matlab) is installed in the virtual machine. (Applications Menu > Development > Spyder)
An introduction to Numpy and SciPy