MAPL/CMSC 466, Intro to Numer. Anal., Section 0101, Spring 2000 - Bo Li
MAPL/CMSC 466, Section 0101
Introduction to Numerical Analysis (I)
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.
|| 1.2, 1.3
||2.1, 2.2, 2.4, 2.5
||3.1, 3.2, 3.4, 3.4
||Midterm exam 1
||4.1, 4.2, 4.3
||4.4, 4.5, 4.7
||5.1, 5.2, 5.3, 5.4
||Midterm exam 2
||5.6, 5.9, 5.10, 5.11
||6.1, 6.2, 6.5, 6.6
- In addition to the text,
material from instructor's notes will be occasionally added.
- 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.
- There will be three computer projects, each of 100 points,
on the following topics:
Each project should consist of MATLAB script, computational results
including tables and graphs,
and the detailed explanation of computational results.
- interpolation and approximation;
- convergence rates of numerical integration rules;
- stability of numerical methods for initial value problems
of ordinary differential equations.
- 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.
- 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.