Math 471 Syllabus (992)

Dept. Math. Scie., KFUPM

K. Furati

 

Course #

MATH 471

Title

Numerical Analysis I

Prerequisite

MATH 280, MATH 321 or SE 301

Textbook

Numerical Analysis by Burden and Faires, 6th edition (1997)

 

Objectives

This course is designed to introduce the students to the numerical Linear algebra problems.

Catalogue Description

Floating point, round-off analysis. Solution of linear algebraic systems: Gaussian elimination and LU-decomposition, condition of a linear system, error analysis of Gaussian elimination, iterative improvement. Least squares and singular value decomposition. Matrix eigenvalue problems.

 

Week

Chap

Topics

1

 

Introduction

2 - 3

1

Mathematical Preliminaries (1.2, 1.3)

4 - 7

6

Direct Methods for Solving Linear Systems

8 - 11

7

Iterative Techniques in Matrix Algebra

12

 

Singular Value Decomposition (SVD)

13

8

Approximation Theory (8.1 - 8.3)

14 - 15

9

Approximating Eigenvalues