Math 4329 (16989), Numerical Analysis

MW 1:30-2:50

Instructor: Granville Sewell

---------- Videos ----------

Sections 1.1-2

Section 2.1

Chapters 1-2 review problems

Sections 3.1-2

Sections 3.3-5

Chapter 3 review problems

Sections 4.1-2

Section 4.3

Chapter 4 review problems

Sections 5.1-3

Section 5.4

Chapter 5 review problems

Section 6.3

Section 6.6

Chapter 6 review problems

Section 7.2

Section 7.3

Chapter 7 review problems

Section 8.2

Section 8.5

Section 8.7

Chapter 8 review problems

Course Description

Prerequisites: Math 3323 (or 4326) and working knowledge of a high level programming language

The text is "Elementary Numerical Analysis, Third Edition" Atkinson and Han, John Wiley & Sons, 2003.

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

Topics covered
Topics section problems homework due date
Taylor Polynomials 1.1 2ac,3ab Aug 31
1.2 1,2 Aug 31
Error and Computer Arithmetic 2.1 1bde (by hand) Sept 4
2.2 5acde,6ch Sept 4
Rootfinding 3.1 1f*,10 Sept 14
3.2 2f*,3 Sept 14
3.3 1f* Sept 21
3.4 8,11,12 Sept 21
3.5 3 (note typo) Sept 28
Interpolation and Approximation 4.1 7,8 Sept 28
4.2 1,4,15 Oct 5
4.3 14,15 Oct 5
Test I Chapters 1-4 Oct 12
Numerical Integration and Differentiation 5.1 2*(N=8,16),11d,12,13 Oct 21
5.2 16 Oct 21
5.3 repeat 5.1, problem 2, using Gauss 3 point formula* Oct 28
5.4 1a*b* Oct 28
Solution of Systems of Linear Equations 6.1 1,2 Nov 4
6.3 6c Nov 4
6.6 4* (don't calculate ratios),12 Nov 11
Numerical Linear Algebra 7.2 1ac,16a*c* (ignore last two sentences),17c* Nov 11
7.3 2d* (find one root) Nov 18
Ordinary Differential Equations 8.2 1a* Nov 18
8.5 2a*,9* Nov 25
8.7 3a,7a* Nov 25
Test II Sections 5.1-8.7 Dec 9, 4:00-6:45pm

* = computer problem requiring MATLAB

Grades

Grade = 0.5*HW + 0.25*TestI + 0.25*TestII, where

90-100% guaranteed A
80-89% guaranteed B or better
70-79% guaranteed C or better
60-69% guaranteed D or better
below 60% no guarantees

Old Tests

Spring 2011: Test I | Test II | Final

Fall 2012: Test I | Test II | Final

Spring 2014: Test I | Test II | Test III | Final

Fall 2014: Test I | Test II | Final

Spring 2015: Test I | Test II | Final

Fall 2015: Test I | Test II | Final

Spring 2016: Test I | Test II | Final

Fall 2018: Test I | Test II | Final

Spring 2020: Test I

Solutions

First Tests

Second Tests

Final Exams

Note: Drop Deadline is Dec 3

MARCS is providing tutoring on-line now, here

Logistic Map Applet (see Problem 12, section 3.4)

Notes

Chapters 1,2

Chapter 3

Chapter 4

Chapter 5