AMSC/CMSC 460 Computational Methods

Spring, 2004

Section 0101 MTH 0304 MWF 9:00-9:50 a. m.

Instructor: Dr. Peter Wolfe

Office MTH 3314, Phone 405-5149, e-mail pnw@math
Office Hours:Daily 1-2 p.m. (or by appointment).       

Text:  Fundamentals of Numerical Computing by Shampine, Allen and Pruess. Click here for more information.

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 chapters 1 through 6 as well as some additional material on Least Squares Approximations.

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 60% theory and 40% programming.

Exams and Assignments:   There will be two midterm exams, six assignments to be handed in and a final exam on Monday, May 17 from 8:00 to 10:00 a.m.

First Hour Exam: Monday, March 8. Covers Chapters 1,2 & 3 in text.
Second Hour Exam: Wednesday, April 21. Covers Chapters 4 & 5 in text, also materials on least squares presented in class.
Final Exam: Monday May 17, 8:00-10:00 a.m. in MATH 0304.

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:   30% midterms, 45% assignments, 25% final exam.

Sample First Hour Exam
Sample Second Hour Exam
Sample Final Exam

Course Evaluation is now online ! To fill out an evaluation form for this course click here. We urge you to do this. Responses are due by May 11.

Assignments

Assignment #1   Due February 16, 2004.
Assignment #2   Due March 1, 2004.
Assignment #3   Due March 17, 2004.
Assignment #4   Due April 12, 2004.
Assignment #5   Due April 26, 2004.
Assignment #6   Due May 10, 2004.

Homework solutions will be on reserve at the ESPL .

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

Integration codes and samples from Shampine, Allen & Preuss.

Rke.m
X1rke.m
X1rkef.m
X2rke.m
X2rke.m
X2rkef.m
Yvalue.m
Xmrke.m

Interpolation with Polynomials and splines

Example of divided differences