AMATH 352: Applied Linear Algebra and Numerical Analysis

SLN 10203, MWF 12:30-1:20, Sieg Hall 225
(Prerequisites: MATH 126 or MATH 136: recommended: CSE 142)

Instructor:

 Lisa Bishop
Guggenheim 407
Tel: (206) 685-9395
Fax: (206) 685-1440
lbishop@amath.washington.edu
Office hours: at AS Lab Rm B027 Tues 10:30-11:30, Thurs 1:30-2:30

Teaching Assistant:

 Jonathan Claridge
Guggenheim 407
Tel: (206) 685-9395
Fax: (206) 685-1440
onath@u.washington.edu
Office hours:at AS Lab Rm B027 Mon 3-4, Tues 5-6

AS Lab Assistant:

 Edwin Ding
Guggenheim 407
Tel: (206) 685-9395
Fax: (206) 685-1440
ding@amath.washington.edu
Office hours:at AS Lab Rm B027 Mon 4-5:30, Tues 11:30-2

Homework Course Notes
Course description Textbook Syllabus 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.

Course Notes

For the course notes refer to the Lecture Notes Webpage. Refer to the course handout for remote login information

Textbook

There is no required textbook for this course, as topics will be developed according to lecture notes originally authored by Dr. Randy LeVeque. These will be made available periodically as the quarter progresses, and it is strongly suggested that students read through the relevent sections before they are presented in class. Some additional readings that may be of interest include:

Syllabus

Below is an at-a-glance overview of topics covered this winter, of course subject to change as the quarter progresses. The syllabus from the first day of class is also available, however the most up-to-date information will undoubtably be on the course homepage. Also remember to be familiar with the Homework Guidelines.
(1) Review of Applied Linear Algebra: Basis, range, dimension, rank, vector norms, matrix norms. Special matrices: symmetric, orthogonal, lower and upper triangular, tridiagonal.

(2) Direct Methods for Solving Dense Systems of Linear Equations: Solution of triangular systems, multiple right hand sides. Tridiagonal systems.

(3) Solution of a Single Nonlinear Equation: Bisection method. Newton's method. Regula Falsi. Convergence to a root.

(4) Interpolation: Polynomial interpolation by Lagrange polynomials. Cubic splines. Divided differences.

(5) Numerical Quadrature: Trapezoid and Simpson quadrature. Recursive quadrature.

(9) Ordinary Differential Equations - Initial Value Problems: Taylor Series. Euler's method. Accuracy and stability. Trapezoid method.

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

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 Homework Solutions
First day of classes Monday, March 31
Homework#1 due Wednesday, April 9 Homework #1 Homework #1 Solutions
Homework#2 due Wednesday, April 16 Homework #2 Homework #2 Solutions
Homework#3 due Friday, April 25 Homework #3 Homework #3 Solutions
Homework#4 due Friday, May 2 Homework #4 Homework #4 Solutions
Midterm Wednesday, May 7 Midterm Review
Memorial Day Monday, May 26 No class
Last day of classes Friday, June 6
Final Exam Thursday, June 12

Tutorials

No on-line tutorials have been assigned for AMATH 352.

<lbishop@amath.washington.edu> Thu Feb 14 16:18:50 PST 2008