| Week | Day | Topic | Comments | Handouts* |
| ONE -- Introduction and Error Analysis |
6/11 | Administrative issues, applications | Notes sec 1.1 | Chapter 1 |
| 6/12 | Types of errors | Notes sec 1.2 | ||
| 6/13 | Error propagation | Notes sec 1.3 | Homework 1 | |
| 6/14 | Introduction to MATLAB | Notes Ch. 0 | Chapter 0 MATLAB 1 MATLAB 2 | |
| 6/15 | Error propagation (cont'd) | Notes sec 1.3 (cont'd) | ||
| TWO -- Floating-Point Arithmetic and Nonlinear Equations |
6/18 | Number system and floating-point arithmetic | Notes sec 2.1, 2.2 | Chapter 2 |
| 6/19 | Condition and stability of problems | Notes sec 2.3, 2.4 Homework 1 due Quiz 1 (in class) |
Quiz 1 | |
| 6/20 | Bisection and Newton's methods | Notes sec 6.1, 6.2 | Chapter 6 Homework 2 | |
| 6/21 | Newton's (cont'd) and Secant methods | Notes sec 6.2 (con'd), 6.3 | ||
| THREE -- Linear System of Equations | 6/25 | Function iteration | Notes sec 6.4 | |
| 6/26 | Matrix basics and operations | Notes sec 3.1, 3.2 Homework 2 due Quiz 2 (in class) |
Chapter 3 Quiz 2 | |
| 6/27 | Matrix norm, inverse, and sensitivity Review for midterm |
Notes sec 3.2 (cont'd) | Homework 3 | |
| 6/28 | Midterm 1 | In class | Midterm 1 | |
| FOUR -- Gaussian Elimination and Least Squares |
7/02 | Gaussian Elimination | Notes sec 3.3 | |
| 7/03 | LU decomposition | Notes sec 3.3 (cont'd) Homework 3 due Quiz 3 (in class) |
Homework 4 Quiz 3 | |
| 7/04 | Independence Day Holiday (no class) | |||
| 7/05 | Least squares problems | Notes sec 3.4 | ||
| FIVE -- Interpolation | 7/09 | Least squares problems (cont'd) | Notes sec 3.4 (cont'd) | |
| 7/10 | Linear and Polynomial Interpolation | Notes sec 4.1, 4.2 Homework 4 due Quiz 4 (in class) |
Chapter 4 Homework 5 Quiz 4 | |
| 7/11 | Interpolation Error, Equidistant and Newton's Interpolation | Notes sec 4.3, 4.4, 4.5 | ||
| 7/12 | Spline Interpolation | Notes sec 4.6 | ||
| SIX -- Numerical Integration | 7/16 | Method of Exact Matching | Notes sec 5.1 | Chapter 5 |
| 7/17 | The Truncation Error | Notes sec 5.2 Homework 5 due Quiz 5 (in class) |
Quiz 5 | |
| 7/18 | Review for midterm | Homework 6 LU-Decomposition problem |
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| 7/19 | Spline Quadrature Midterm 2 |
Notes sec 5.3 Evening exam |
Midterm 2 | |
| SEVEN -- Differential Equations | 7/23 | Class is cancelled to make up for the evening exam | ||
| 7/24 | Richardson's Extrapolation | Notes sec 5.4 Homework 6 due |
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| 7/25 | The Initial-Value Problem for a Single ODE Euler's Method |
Notes sec 7.1, 7.3 | Chapter 7 Homework 7 | |
| 7/26 | Taylor-Series Methods | Notes sec 7.5 Quiz 6 (in class) |
Quiz 6 | |
| EIGHT -- Differential Equations and General Revision |
7/30 | Runge-Kutta Methods | Notes sec 7.6 | |
| 7/31 | Review for the final exam Last day of class |
Homework 7 due | ||
| 8/01 | No Class | |||
| 8/02 | No Class | |||
| 8/03 | Final Exam 8:00-10:00am, place:LWSN 1106 | |||