Math 270C, Lecture 1, Spring 2014
Mathematical Aspects of Scientific Computing: Computational Linear Algebra
Lecture Meeting Time: MWF 3.00PM - 3:50PM.
Lecture Location: MS 5148.
Instructor: Luminita A. Vese
Office: MS 7620-D
Office hours: MWF 5pm (at MS 7620-D or MS 4000A). Please let me know at the end of the class if you need to see me, or by email.
E-mail: lvese@math.ucla.edu
Recommended Textbooks:
"Matrix Computations", G. Golub and C. VanLoan (placed on reserve at
SEL Library), Chapter 10.
"Iterative Methods for Solving Linear Systems", A. Greenbaum.
"Iterative Solution of Large Sparse Systems of Equations", W. Hackbusch.
"Numerical Linear Algebra", L.N. Trefethen, D. Bau.
"Numerical Linear Algebra (and applications)", B.N. Datta.
"Introduction to Numerical Analysis", by J. Stoer and R. Bulirsch,
Chapter 8.
Requisites: courses 115A, 151A, 151B, Program in Computing 10A.
SYLLABUS
WILL BE UPDATED
Useful Links:
PIC Lab: Boelter Hall 2817 and
Mathematical Sciences 3970
http://www.pic.ucla.edu/piclab/
MATLAB Documentation (thanks to Professor Chris Anderson, UCLA)
Class Web Page: http://www.math.ucla.edu/~lvese/270c.1.14s/
Numerical Recipes
Getting started with MATLAB
Homework Policy:
Several ssignments involving both theoretical and computational exercises
will be given. Late homework will be accepted.
Examinations: There are no written exams.
Grading Policy: Grading will be based on class participation (10%) and
on weekly assignments.
Properties of matrices
Homework Assignments:
HW #1: Due on Wednesday, April 9.
HW #1
HW #2: Due on Monday, April 21.
HW #2
HW #3: Due on Wednesday, April 30.
HW #3
HW #4: Due on Monday, May 12.
HW #4
HW #5: Due on Wednesday, May 21.
HW #5
HW #6: Due on Monday, June 2.
HW #6
Symmetric, Tridiagonal, Positive Definite System Solver
Thomas algorithm can also be used for solving a tridiagonal linear system.
HW #7: Due on Friday, June 13.
HW #7
Example of scheme