Math 270C, Lecture 1, Winter 2005

Mathematical Aspects of Scientific Computing: Computational Linear Algebra

Lecture Meeting Time: MWF 1.00PM - 1:50PM.
Lecture Location: MS 5217.

Instructor: Luminita A. Vese
Office: MS 7620D
Office hours: M 3-4pm, W 3-4, F 4-5pm.

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:
  • Virtual Office Hours
  • PIC Lab: Boelter Hall 2817 and Mathematical Sciences 3970
    http://www.pic.ucla.edu/piclab/
  • MATLAB Documentation (thanks to Prof. C. Anderson, UCLA)
  • Class Web Page: http://www.math.ucla.edu/~lvese/270c.1.05w/
  • Numerical Recipes
  • Getting started with MATLAB

    Homework Policy: Weekly assignments involving both theoretical and computational exercises will be given. One or two additional projects may also be given. Assignments will be collected every Monday in class.

    Examinations: There are no written exams (no midterm exam and no final exam).

    Grading Policy: Grading will be based on class participation (10%) and on weekly assignments and projects (90%).

    Weekly Homework Assignments:
    HW #1: Due on Wednesday, January 19, 2005
    HW #1

    HW #2: Due on Wednesday, January 26, 2005
    HW #2

    HW #3: Due on Wednesday, February 2, 2005
    HW #3

    HW #4: Due on Wednesday, February 9, 2005
    HW #4

    HW #5: Due on Friday, February 18, 2005
    HW #5

    HW #6: Due on Friday, March 4, 2005
    HW #6
    Symmetric, Tridiagonal, Positive Definite System Solver
    Thomas algorithm can also be used for solving a tridiagonal linear system.

    HW #7: Due on Monday, March 14, or on Wednesday March 16,2005
    HW #7
    (last assignment)