Grading: HW+Quiz+Attendance(40%) midterm 1, 2 and final exam (20% each)

Course contents:

Chap 0: Programming Language Tutorial.
  0.1: Matlab (Octave) Tutorial

Chap 1: Mathematical Preliminaries and Error Analysis  (21)
  1.2: Rounding Errors and Computer Arithmetic     (13)
  1.3: Algorithms and Convergence                  ( 8)

Chap 4: Numerical differentiation and integration      (45)
  4.1: Numerical Differentiation                   (11)
  4.2: Richardson Extrapolation                    ( 8)
  4.3: Elements of Numerical Integration           ( 9)
  4.4: Composite Numerical Integration             (11)
% 4.5: Gaussian Quadrature                         ( 6)

Midterm 01 on Chap 1, 4, in the week of 10/17-10/21

Chap 6: Direct Methods for Solving Linear Systems      (24+%25)
  6.1: Linear System of Equations                  (14)
  6.2: Pivoting Strategies                         (10)
% 6.5: Matrix Factorization                        (10)
% 6.6: Special Types of Matrices                   (15)

Chap 07: Iterative Techniques in Matrix Algebra        (46+%15)
    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

Midterm 02 on Chap 6, 7, in the week of 11/28-12/02

Chap 2: Solutions of Equations in One Variable         (41+%10)
  2.1: Bisection                                   ( 7)
  2.2: Fixed Point Iteration                       (10)
  2.3: Newton's method                             (12)
  2.4: Error Analysis for Iterative Methods        ( 8)
  2.5: Accelerating Convergence                    ( 4)
% 2.6: Muller's Method                             (10)

Chap 10: Numerical Solutions of Nonlinear Systems of Equations (26)
   10.1: Fixed points for functions of several variables
   10.2: Newton's method 
   10.3: Quasi-Newton methods
%  10.4: Steepest Descent Techniques

Final Exam, on Chap 2, 10,  in the week of 01/09-01/13