Syllabus for MAPL/CMSC 466, Intro to Numer. Anal., Section 0101, Spring 2000 - Bo Li

A Tentative Syllabus

Textbook: Numerical Analysis, Sixth edition, by Richard L. Burden and J. Douglas Faires, Brooks/Cole Publishing Company.
Mathematical software and programming tool: MATLAB.
Some references:
• Analysis of Numerical Methods, by Eugene Isaacson and Herbert B. Keller, John Wiley & Sons, 1966. Dover Publications, Inc., 1994.
• An Introduction to Numerical Analysis, Second edition, by Kendall E. Atkinson, John Wiley & Sons, 1989.
• Numerical Mathematics and Computing, Forth edition, by E. Ward Cheney and David R. Kincaid, Brooks/Cole Publishing Company, 1999.
• Matrix Computation, Third edition, by Gene H. Golub and Charles F. Van Loan, The Johns Hopkins University Press, 1996.

 Chapters Sections Homework Projects Exams 1 1.2, 1.3 Assignment 1 2 2.1, 2.2, 2.4, 2.5 Assignment 3 3 3.1, 3.2, 3.4, 3.4 Assignment 3 Project 1 Midterm exam 1 4 4.1, 4.2, 4.3 Assignment 4 4.4, 4.5, 4.7 Assignment 5 Project 2 5 5.1, 5.2, 5.3, 5.4 Assignment 6 Midterm exam 2 5.6, 5.9, 5.10, 5.11 Assignment 7 Project 3 6 6.1, 6.2, 6.5, 6.6 Assignment 8 Final Exam

Some Remarks

1. In addition to the text, material from instructor's notes will be occasionally added.
2. There will be eight homework assignments with each of 100 points. One of the homework assignments with the lowest grade will be dropped. Note: no late homework will be accepted except a proved reasonable excuse (such as hospitalization, a family emergency, and a major religious activity) is provided.
3. There will be three computer projects, each of 100 points, on the following topics:
• interpolation and approximation;
• convergence rates of numerical integration rules;
• stability of numerical methods for initial value problems of ordinary differential equations.
Each project should consist of MATLAB script, computational results including tables and graphs, and the detailed explanation of computational results.
4. There will be two fifty-minute midterm exams and one two-hour final exam. All exams will be close-book and close-note. Simple calculators will be allowed in these exams. The final exam will be cumulative. Note: neither rescheduled nor make-up exams will be allowed unless a proved reasonable excuse (such as hospitalization, a family emergency, and a major religious activity) is provided.
5. Suggested grading policy for future reference: homework and computer projects -- 20%, midterm exam 1 -- 20%, midterm exam 2 -- 20%, and final exam -- 40%. The final grade will be curved.

Last updated by B. Li on May 6, 2000.