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, 6^{th} edition (1997) 
Objectives
This course is designed to introduce the students to the numerical Linear algebra problems.
Catalogue Description
Floating point, roundoff analysis. Solution of linear algebraic systems: Gaussian elimination and LUdecomposition, 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 