Math 471 Syllabus (992)
Dept. Math. Scie., KFUPM
K. Furati
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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.
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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 |