AMSC/CMSC 460 Computational Methods

Summer, 2004

Section 0101 MTH B0421 MTThF 8:00-9:20 a. m.

Instructor: Dr. Peter Wolfe

Office MTH 3314, Phone 405-5149, e-mail pnw@math
Office Hours: M-F 10-10:45 a.m. (or by appointment).       

Text:   Numerical Computing with MATLAB by Cleve Moler. Individual chapters can be downloaded from the web here . The chapters you will need to download are: Preface, Introduction to MATLAB, Linear equations, Interpolation, Zeros and roots, Least squares, Quadrature and Ordinary differential equations. In addition you will want to download the NCM files from the website.

Additional reference:   Introduction to Scientific Computing, 2nd Ed. by Van Loan. This book has a lot of good stuff about MATLAB, e.g. how to format your output neatly. A copy is on reserve at the ESPL .

Syllabus:   We will cover all or parts of the chapters listed above.

Course Objectives:   The goals of the course are to introduce the student to some fundamental concepts of numerical analysis and the intellegent use of software to solve problems which may arise in mathematics, science and engineering. The course will be about 50% theory and 50% programming.

Exams and Assignments:   There will a midterm exam on or about June 29, six assignments to be handed in and a final exam on July 23.

Programming:   Programming will be done in MATLAB. Students should also have a good scientific calculator for use on homework and exams.

MATLAB help: For help with MATLAB this link will take you to the software info page of the Mathematics Department. SOFTWARE

Introduction to MATLAB: Here is a short introduction to MATLAB that can be downloaded in either pdf or postscript format
Click here for postscript . Click here for pdf .

Grading:   20% midterm, 50% assignments, 30% final exam.

Assignments

Assignment #1   Due June 11, 2004.
Assignment #2   Due June 18, 2004.
Assignment #3   Due June 25, 2004.
Assignment #4   Due July 9, 2004.
Assignment #5   Due July 16, 2004.
Assignment #6   Due July 22, 2004.

Homework solutions will be on reserve at the ESPL .

Sample Midterm Exam
Sample Final Exam

Weights and nodes for Gauss-Legendre integration
Weights and nodes for Gauss-Laguerre integration

Function m-file myeuler.m

Interpolation with Polynomials and splines