AMATH 352
SLN 10198, MWF 12:30-1:20, Guggenheim Hall 204
(Prerequisites: MATH 126 or MATH 136: recommended: CSE 142)

Applied Linear Algebra and Numerical Analysis



Instructor:

Professor Randall J. LeVeque
Guggenheim 415C
tel: 685-3037
fax: 685-1440
rjl at amath.washington.edu
office hours in Gugg 415C: W, F 1:30-2:30
office hours in AS Lab B022: T, W 9:00-10:00

TA:

Peizhe Shi
ship at amath.washington.edu
office hours in AS Lab B027:
M 10:30-11:30, T 11:30 - 12:30

Matlab Help Desk in AS Lab:

Jordan Allen-Flowers
jallenf at amath.washington.edu
hours: M 8:30-11:00, T 12:00-2:00,
Th 8:30-10:30, 12:00-3:00, F 8:30-11:00


Important announcements, corrections, etc.

Schedule and homework assignments

Course Description

Development and application of numerical methods and algorithms to problems in the applied sciences and engineering. Applied linear algebra and introduction to numerical methods. Emphasis on use of conceptual methods in engineering, mathematics, and science.

Textbook

There is no assigned textbook.

Course notes

Please download the course notes (or read them on-line). These will be made available as the quarter progresses, hopefully in time to read the relevant sections before the corresponding lecture. Looking through the notes in advance should be helpful in understanding the lectures and asking relevant questions.

If you are trying to access these notes from off campus, you will need a username and password. See the info sheet passed out in the first class for these.

See the syllabus for an outline of the class.

Other references:

There are many other "numerical analysis" or "numerical methods" books that cover similar material. If you are having trouble understanding a concept, look through some other books in the library. Here are a few:

Learning Objectives and Instructor Expectations

The main goal of the course is to introduce approximate numerical methods for solving mathematical equations that cannot be solved exactly by analytical techniques. Such problems arise constantly in science, engineering, finance, computer graphics, and elsewhere. We will study several basic numerical algorithms, how to implement them, and how to analyze their behavior mathematically.

We will also study basic concepts in linear algebra, including matrix-vector manipulations, solving linear systems, least squares problems, and a bit about eigenvalue problems. The emphasis will be on practical aspects of linear algebra and numerical methods for solving these problems. Math 308 (Linear Algebra) is not a prerequisite for this class. This class and that one should complement one another and can be taken in either order.

You should also become adept at using the MATLAB language for numerical problem solving. MATLAB has many built-in functions for solving particular problems and you will learn how to use these. You should also gain an understanding of how they work, why they sometimes don't work, and how to use them intellegently.

Computing

You may use the computers in the College of Arts and Sciences Instructional Computing Lab (AS LAB, previously known as MSCC), located in Communications B022. See the AS Lab webpage for hours of operation and other information. Most other computer labs on campus do not have Matlab.

You can buy the student edition of Matlab at the bookstore for Windows, Mac, or Linux.

Schedule and Homework

If you are trying to access the homework pages from off campus, you will need a username and password. See the info sheet passed out in the first class for these.

Date Event Homework Problem Sets
Week 1 W, Sept. 26 First day of classes
Week 2 F, Oct. 5 Homework 1 due hw1
Week 3 W, Oct. 10 Homework 2 due hw2
Week 4 W, Oct. 17 Homework 3 due hw3
Week 5 W, Oct. 24 Homework 4 due hw4
Week 6 W, Oct. 31 Homework 5 due hw5
Week 7 W, Nov. 7 Midterm Review sheet
W, Nov. 7 No homework due this week
Week 8 M, Nov. 12 Veteran's Day -- no class
F, Nov. 16 Homework 6 due hw6
Week 9 W, Nov. 21 Homework 7 due hw7
F, Nov. 23 Thanksgiving vacation -- no class
Week 10 F, Nov. 30 Homework 8 due hw8
Week 11 W, Dec. 5 Last class
F, Dec. 7 No class
F, Dec. 7 Homework 9 due hw9
Exam week Th, Dec. 13 Final Exam, 8:30 - 10:20am Review material

Grading

There will be 9 homework assignments. These will usually be due on Wednesdays in class.
Each homework will be worth 25 points and the lowest homework score will be dropped, so 200 points are possible on homework.
There will be one midterm worth 75 points and a final exam worth 100 points.
A total of 375 points are possible in the course.

You may view your homework and exam grades on-line.

Other links

Some other links of interest...