Last update: Feb 16, 2011
Textbook: Burden and Faires: Numerical Analysis, 8th edition.
Office hour: By appointment (ºî¤TÀ] 721, ext 62231), 

Grading: 
Homeworks and projects. 
A project is either a reading assignment or a bigger homework.
There may be
Midterm and Final exam(s), if the homeworks are not well done.

Course contents:

Projects: Form a matrix from Laplacian

Preliminary:
(Some motivation before going into matrix problem and nonlinear)
also eig
borrow mins slides of qdot
the 2D Laplacian

(15)
Chap 06: Direct Methods for Solving Linear Systems 
    6.6: Special types of Matrices  

(61)
Chap 07: Iterative Techniques in Matrix Algebra
    7.1: Norms of vectors and matrices
    7.2: Eigenvalues and eigenvectors
    7.3: Iterative techniques for solving linear systems
    7.4: Error bounds and iterative refinement
    7.5: The conjugate gradient method

(26)
Chap 09: Approximating Eigenvalues
    9.1: Linear algebra and eigenvalues
    9.2: The power method

(33 + 8)
Chap 10: Numerical Solutions of Nonlinear Systems of Equations
   10.1: Fixed points for functions of several variables
   10.2: Newton's method 
   10.3: Quasi-Newton methods
   10.4: Steepest Descent Techniques
   10.5: Homotopy and continuation methods

(63)
Chap 08: Approximation Theory
    8.1: Discrete least square approximation
    8.2: Orthogonal polynomial and least square approximation
    8.3: Chebyshev polynomials and economization of power series
    8.4: Rational function approximation
    8.5: Trigonometric polynomial approximation
    8.6: Fast Fourier Transforms