Numerical Analysis:
Approximation Theory and Ordinary Differential Equations


ACM 111, Winter Quarter 2002
Mondays, Wednesdays, Thursdays, 3:00-4:00 p.m. in Firestone 308

Instructor: Hao-Min Zhou (email: hmzhou@acm.caltech.edu)
Office Hours: Mon., Wed. 2:00-3:00 p.m. or by appointment
TA: Xinwei Yu (email: xinwei@its.caltech.edu)
Office Hours: Mon. 1:30-3:00 p.m.


Course Information


Reference Books:

  • Elementary Numerical Anaylsis (3rd Edition), by Samuel D. Conte and Carl de Boor
  • Numerical Solution of Ordinary Differential Equations, by L. Fox and D. F. Mayers


    • Course Materials:

  • Approximation Theory: polynomial interpolations, orthogonal ploynomials, trigonometric polynomials, piecewise polynomials, wavelets.
  • Numerical differentiation and integration: numerical quadratures.
  • Numerical methods for ordinary differential equations: Initial value problems: one-step methods, error analysis, stability analysis, multi-step methods, stiff systems. Boundary value problems: shooting methods, finite difference, collocation methods.

    • Grading:

    75% of your final grade is based on your homework (5 sets, 15% for each set) and 25% is on the final project. In general, late homework is not accepted. Collaboration is encouraged. Homework solutions can be download from Xinwei's homepage.


    You can download the camera man image at here for homework No. 3.