Math 5329 (12330), Numerical Analysis

MW 10:30-11:50, BELL 130A

Office hours: MTW 9:00-9:50, BELL 200

Course Description

Prerequisites: Math 3323 and working knowledge of a high level programming language

The text is "Numerical Analysis: Mathematics of Scientific Computing, 3rd edition" David Kincaid & Ward Cheney, Brooks & Cole, 2002

Topics covered
Topics chapter
Introductory Material 1,2
Nonlinear Equations 3
Optimization 11
Systems of Linear Equations 4
Eigenvalue Problems 5
Interpolation 6
Integration and Differentiation 7
Ordinary Differential Equations 8

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

Homework assignments
read sections do problems date due
1.1 5ab(only one form for En),31,33 Aug 31
1.2 6,7ce Aug 31
2.1 C6 Aug 31
2.2 6,8,13,C1 Aug 31
3.1 14,C1,C4 Sept 14
3.2 1,6,11,15,C1,C14 Sept 14
3.3 C1 Sept 14
3.4 19,33(analyze at each root),38,40 Sept 21
11.1 1 Sept 21
11.2 1(Rosenbrock only),2 Sept 21
11.3 Sept 21
Test I Chapters 1,2,3,11 Sept 26
4.1 3,15 Oct 10
4.2 7,17,27,30,32 Oct 10
4.3 9("unscaled" pivoting) Oct 10
4.4 2,3,21,40(skip 2-norm) Oct 10
4.6 1,29,C1 Oct 17
5.1 12,22,C1 Oct 17
6.1 1ce,13,27 Oct 26
6.2 23 Oct 26
6.4 5,14 Oct 26
Test II Chapters 4,5,6 Oct 31
7.1 6(verify only) Nov 9
7.2 1,4 Nov 9
7.3 3(verify only; note typo), extra problem Nov 16
7.5 Nov 16
8.2 4,C1 Nov 16
8.3 Nov 16
8.4 5(calc. truncation error),C3(h=0.1) Nov 23
8.5 6 Nov 23
8.6 3(not autonomous) Nov 23
Test III Chapters 7,8 Nov 28
Final Comprehensive Dec 9, 10am

Grading Policy:

Grades
90-100% guaranteed A
80-89% guaranteed B or better
70-79% guaranteed C or better
below 70% no guarantees

Videos

Chapters 1,2 Video

Chapter 3 Video

Chapter 4 Video (for MATH 5330; matrix algebra review)

Chapter 4 Video (for MATH 5330; LU decomposition)

Chapter 4 Video (for MATH 5330; Band solvers and iterative methods)

Chapter 5 Video (for MATH 5330; Power method for eigenvalues)

Chapter 6 Video

Chapter 7 Video

Chapter 8 Video (for MATH 5343; Truncation error, Stability, Adams methods)

Chapter 8 Video (for MATH 5343; Stiffness, Runge-Kutta methods)

Old Tests

Fall 2008: Test I | Test II | Test III | Final

Fall 2011: Test I | Test II | Test III | Final

Fall 2013: Test I | Test II | Test III | Final

Fall 2016: Test I | Test II | Test III | Final

Solutions

First Tests | Second Tests | Third Tests | Final Exams

Note: Drop Deadline is October 28

Logistic Map Applet