Math 4446: Introduction to Numerical Analysis

Index: 70823

Summer II, 2007, Classroom: MCB 204 Time:  11:00AM - 12:15PM, M-F, July 2-Aug. 11, 2007

Instructor: David Y. Gao
Office: McBryde 524

Office Hours: M-F 10:00 -11:00am

Course Contents:

· Polynomial approximation and interpolation

· Numerical differentiation and difference formulas

· Numerical integration

· One-dimensional initial-value problems

· One-dimensional boundary-value problems

Text:

· Math 4446. Numerical Analysis, R.L. Burden and J.D. Faires, Brooks/Cole, 8th ed. 2005,

· Lecture notes by David Gao

Suggested References:

· Introduction to Applied Mathematics, by Gilbert Strang, Wellesley-Cambridge Press, 1986.

· Numerical Methods for Engineers and Scientists, by Joe D. Hoffman, McGraw Hill, 2001.

Prerequisites and Corequisites:
Junior-level undergraduate mathematics, including differential and integral calculus, linear algebra,  and ordinary differential equations. Knowledge of  programming languages such as FORTRAN and  C. Students will be expected to either possess or concurrently develop a facility with one of the existing mathematical software packages (such as  Matlab, Maple, and Mathematica, etc.).

Educational Objectives:
The objective of this course offering is to develop fundamental numerical methods and computational skills needed in advanced engineering courses and scientific research.  Emphasis is placed on why numerical methods work and their limitations.

Homework Assignments, Exams, Project and Grade Determination:
Homework problems will be assigned from the section covered. The amount of homework collected depends on the performance. The grad will be based on a midterm test (30%), collected homework (20%), a take-home project (20%), and a final examination (30%). No late homework will be accepted. You may study together, but homework and project must be done completely individually.

General:
I reserve the option of modifying these policies where appropriate as the course develops.