MATH 471  Numerical Analysis
I (303)
2, 3, 4,  
2,  
2, 3, 4,  
MatlabAss#6 

MatlabAss#7 

MatlabAss#8 
Syllabus
Floatingpoint, roundoff 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.
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.
Prerequisite:
Math 280, Math
321 or SE 301
Textbook: Numerical Analysis by Burden and Faires, 7th edition (2001).
Grading
Policy:
First
and Second Exam 40%.
Final
35%.
Assignments
10%
Programming
Assignments 15%
Week # 
Sections 
Topics 
1 
1.1 
Review
of some topics Introduction,

2 
1.2 
Startup
with MATLAB Roundoff
Errors 
3 
1.3 
Roundoff
Errors (cont.) Algorithms
and Convergence 
4 
6.1 6.2 
Gaussian
Elimination Pivoting

5 
6.3 and 6.4 6.5 
Linear
Algebra and Determinants LU
Factorization 
6 
6.6 
LDL
Factorization 
7 
6.6 6.7 
Choleskis
Factorization Programming

8 
7.1 7.2 
Norms Eigenvalues 
9 
7.3 
Jacobi
and Gaussseidle methods, SOR 
10 
7.4 7.5 
Errors CGM 
11 
8.1 
Approximation 
12 
8.2 
Polynomials 
13 
9.1 9.2 
Eigenvalues Power
method 
14 
9.3 
Householders
method 
15 
9.4 
QR
method SVD 