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.


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.


    Useful Links:
  • PIC Lab: Boelter Hall 2817 and Mathematical Sciences 3970
  • MATLAB Documentation (thanks to Professor Chris Anderson, UCLA)
  • Class Web Page:
  • 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