Last update: Nov 25, 2014
Textbook: Burden and Faires: Numerical Analysis, 9th edition.
Office hour: By appointment (ºî¤TÀ] 721, ext 62231).

Prerequisite: basic programming skills
 (Be able to handle (multiple) for loop, if loop and while loop, etc.)

Grading: 
quiz+homework+attendance (40%, mostly on quiz), 
midterm 1, 2, (around 20% each) and final (around 20%).

Course contents:

Chap 00: Programming Language Tutorial: Matlab and Octave.
Chap 01: Mathematical Preliminaries and Error Analysis: 1.2-1.3 (15+9).
Chap 02: Solutions of Equations in One Variable: 2.1-2.5 (8+11+12+7+5).
Chap 03: Interpolation and Polynomial Approximation 3.1, 3.5(11+20).
Chap 04: Numerical differentiation and integration: 4.1-4.4, 4.7, 4.9 (11+8+10+10+7+5).
Chap 06: Direct Methods for Solving Linear Systems: 6.1-6.2, 6.5-6.6(14+9+11+17).
Chap 07: Iterative Techniques in Matrix Algebra: 7.3-7.5 (12+7+10).
Chap 08: Approximation Theory: 8.1(12).
Chap 10: Numerical Solutions of Nonlinear Systems of Equations: 10.1-10.2(8+9).

Week 01: (No recitation this week) 
 Tu: 09/16:  
 Fr: 09/19:   
  0.1: Matlab (Octave) Tutorial

Week 02:
  1.2: Rounding Errors and Computer Arithmetic (15)
  1.3: Algorithms and Convergence (9)

Week 03: 
 Tu: 09/30:
 Fr: 10/03:
  2.1: Bisection (8)
  2.2: Fixed Point Iteration (11)
  2.3: Newton's method  (12)

Week 04:
 Tu: 10/07: quiz 1 --------------------(homework 02 (24)) 
 Fr: 10/10: Holiday ------------------- no class.  

Week 05: 
 Tu: 10/14: 
 Fr: 10/17: quiz 2 --------------------(homework 03 (31)) 
  2.4: Error Analysis for Iterative Methods (7)
  2.5: Accelerating Convergence (5)

Week 06: 
 Tu: 10/21: 
 Fr: 10/24: 
  3.1: Interpolation and Lagrangian polynomial (11)
  3.5: Cubic Spline Interpolation (20)

Week 07: 
 Tu: 10/28:
 Fr: 10/31: Midterm Exam 1 ---------------------------(week 01 - week 06 (78))
  3.5: Cubic Spline Interpolation (20) - continue

Week 08:
 Tu: 11/04:
 Fr: 11/07: 
  4.1: Numerical Differentiation (11)
  4.2: Richardson Extrapolation (8)

Week 09:
 Tu: 11/11: 
 Fr: 11/14: quiz 3 --------------------(homework 08 - homework 08 (31)) 
  4.3: Elements of Numerical Integration (10)
  4.4: Composite Numerical Integration (10)

Week 10:
 Tu: 11/18: 
 Fr: 11/21:
  4.7: Gaussian Quadrature (7)
  4.9: Improper Integrals (5)

Week 11:
 Tu: 11/25:
 Fr: 11/28: quiz 4 --------------------(homework 09 - homework 10 (34))
  6.1: Linear System of Equations (14)
  6.2: Pivoting Strategies (9)

Week 12:
 Tu: 12/02: 
 Fr: 12/05: Midterm Exam 2 -------------------------(week 08 - week 10 (51))

Week 13:
 Tu: 12/09: 
 Fr: 12/12: 
  6.5: Matrix Factorization (11)
  6.6: Special types of Matrices (17)  

Week 14:
 Tu: 12/16: 
 Fr: 12/19: quiz 5 --------------------(homework 11 - homework 13 (51)) 
  7.3: The Jacobi and Gauss-Siedel Iterative Techniques (12)

Week 15:
 Tu: 12/23: 
 Fr: 12/26: 
  7.4: Relaxation Techniques for Solving Linear Systems ( 7)
  7.5: Error bounds and iterative refinement            (10)

Week 16:
 Tu: 12/30: 
 Fr: 01/02: Holiday ------------------- no class.  
  8.1: Discrete least square problems                   (12)

Week 17:
 Tu: 01/06:
 Fr: 01/09:
Contents to be determined.

Week 18: Fr 01/16: Final Exam ---------(week 13 - week 17 (75))