### Office hours: MTW 10:30-11:20, BELL 200

Course Description

Prerequisites: Math 2326, 3323, 4329 or equivalents, and working knowledge of a high level programming language

The text is "The Numerical Solution of Ordinary and Partial Differential Equations, 3rd Edition," Granville Sewell, World Scientific Publishing Company, 2015

Topics covered
Topics chapter
Direct Solution of Linear Systems 0
Initial Value Ordinary Differential Equations 1
The Initial Value Diffusion Problem 2
The Initial Value Transport and Wave Problems 3
Boundary Value Problems 4
The Finite Element Method 5

Problem list may change during semester, so re-check before starting each assignment.

Homework assignments
read sections do problems date due
0.0-0.5 0.1*,0.6 Jan 31
1.0-1.4 1.1abcd,1.7a*b*c* Feb 12
1.5-1.6 1.5,1.6a*b*,1.10ab Feb 21
Test I Chapters 0,1 Feb 26
2.0-2.5 2.1,"2.4* or 2.5*",2.8ab,2.9 March 12
3.0-3.4 3.1ab,3.8a*b*,3.9abc March 28
4.0-4.11 4.1,4.6a,4.9*,4.12* April 16
Test II Chapters 2,3,4 April 18
5.0-5.4 "5.3a* or 5.3b* or 5.4*" May 2
5.5-5.11 5.5ab* May 9
Final comprehensive May 14, 10am

* = requires use of MATLAB (or Fortran)

• Homework assignments: 40% of your grade. Some homeworks will involve MATLAB/Fortran programming. Tutorials on using MATLAB are here and here .
• Test I, over chapters 0,1: 20%
• Test II, over chapter 2,3,4: 20%
• Final, comprehensive, but with emphasis on chapter 5: 20%
 90-100% guaranteed A 80-89% guaranteed B or better 70-79% guaranteed C or better below 70% no guarantees

## Videos

Chapter 0 Video Direct Solution of Linear Systems

Chapter 1 Video (1.0-1.4) Initial Value ODEs

Chapter 1 Video (1.5-1.6) Initial Value ODEs

Chapter 2 Video The Diffusion Problem

Chapter 3 Video Transport and Wave Problems

Chapter 4 Video Boundary Value Problems

Chapter 5 Video (5.0-5.4) The Finite Element Method

Chapter 5 Video (5.5-5.11) The Finite Element Method

Old Tests

Spring 2008: Test I | Test II | Final

Spring 2012: Test I | Test II | Final

Spring 2019: Test I | Test II | Final

Solutions

Note: Drop Deadline is April 5