AMATH 352
SLN 1176, MWF 12:30-1:20, Electrical Engineering I 025

Applied Linear Algebra and Numerical Analysis


Instructor:

 James Rossmanith
Guggenheim 416
tel: 685-8068
fax: 685-1440
jrossman@amath.washington.edu
office hours: MW 9:30-11am (in MSCC)
office hours: F 9:30-11am (in GUG 416)

Teaching
Assistant:

 Long Lee
Guggenheim 416
tel: 685-8068
fax: 685-1440
longlee@amath.washington.edu
office hours: MW 2-3pm (in GUG 416)

MSCC
Assistant:

 Ted Farnum
The MSCC Lab
farnum@amath.washington.edu
office hours: TTh 4-5:30pm (in MSCC)



Homework Grades Message Board
Course description Textbook Syllabus Objectives Computer language MSCC Computer lab Schedule

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

R. L. Burden and J. D. Faires. Numerical Analysis (Seventh Edition). Brooks/Cole, 2001. Available at the University Bookstore.

Syllabus

Download printable version of syllabus: (.ps, .pdf)


Part 1: Introduction (1 week)

>> Review of calculus
>> Sources of error
>> Introduction to MATLAB


Part 2: Solving algebraic equations (3 weeks)

>> Methods for nonlinear scalar equations
>> Direct methods for solving linear systems
>> Newton's method for nonlinear systems


Part 3: Interpolation and curve fitting (2 weeks)

>> Polynomial interpolation
>> Least squares approximation


Part 4: Numerical differentiation and integration (2 weeks)

>> Finite differences for numerical differentiation
>> Methods for numerical integration


Part 5: Solving ordinary differential equations (2 weeks)

>> Intro to initial value problems (IVPs)
>> Taylor series methods
>> Multi-stage methods
>> Multi-step methods

Objectives of the course

>> Develop numerical methods for approximately solving problems from continuous mathematics on the computer

>> Examine the accuracy of these methods

>> Examine the stability of these methods

>> Examine the failure modes of these methods

>> Implement these methods in a computer language (MATLAB)

Computer language

In this course, we will make extensive use of Matlab, a technical computing environment for numerical computation and visualization produced by The MathWorks, Inc. A Matlab manual is available in the MSCC Lab. Also available is a MATLAB tutorial written by Peter Blossey:

Download printable version of MATLAB tutorial: (.ps, .pdf)

Here is a list of some Matlab resources available on the net:

The MSCC computer lab

You will be making extensive use of the Mathematical Sciences Computing Center (MSCC) which is located in the basement of Communications. Follow the above link to their homepage for hours of operation. The MSCC provides support for MATLAB on both PC and UNIX platforms. Passwords for these computers will be given out in class. In addition to these computers, you may want to consider buying a copy of the Student Edition of MATLAB which is available at the University Book Store. All homeworks are required to be programmed in the MATLAB environment.

Schedule and Homework

Follow links in the table below to obtain a copy of the homework in PostScript (.ps) or Adobe Acrobat (.pdf) format. You may also obtain here solutions to some of the homework and exam problems. An item shown below in plain text is not yet available. For additional information regarding viewing and printing the homework and solution sets, click here.

Homework and Exams Homework Due Date Homework Problem Sets
First day of classes Monday, April 1 XXXXXXXXXXXXXXXXXX
Homework#1 due Friday, 4/12 Homework #1 (.ps, .pdf)
Homework#2 due Friday, 4/19 Homework #2 (.ps, .pdf)
Homework#3 due Monday, 4/29 Homework #3 (.ps, .pdf) -- MATLAB code (heateq.m)
EXTRA CREDIT due Friday, 5/10 EXTRA CREDIT (.ps, .pdf)
Homework#4 due Monday, 5/13 Homework #4 (.ps, .pdf)
Homework#5 due Wednesday, 5/29 Homework #5 (.ps, .pdf)
Homework#6 due Tuesday, 6/11 Homework #6 (.ps, .pdf)
Memorial Day Monday, May 27 No class
Last day of classes Friday, June 7 XXXXXXXXXXXXXXXXXX
Midterm Exam Monday, May 6 Midterm Exam (.ps, .pdf), Solutions (.ps, .pdf)
Final Exam Thursday, June 13 (8:30am-10:20am) Final Exam (.ps, .pdf), Solutions (.ps, .pdf)

Grading

50% - 6 Homework projects
20% - 1 Midterm exam (mostly on Parts 1,2,3)
30% - 1 Final exam (mostly on Parts 3,4,5)

You may view your homework and exam grades on-line. Before doing so for the first time, you must request a password.

<jrossman@amath.washington.edu> Thu Jun 13 18:48:36 2002