Last update: nov 06, 2020
Textbook: Burden, Faires and Burden: Numerical Analysis, 10th edition.
Office hour: By appointment (General III building Office 721, ext 62231).

Grading: 
% quiz+homework (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: 2.1-2.4 (7+11+12+8). 
Chap 10: Numerical Solutions of Nonlinear Systems of Equations: 10.1-10.2(9+8)

Chap 03: Interpolation and Polynomial Approximation 3.1, 3.2, 3.5 (11+7+20),
Chap 04: Numerical differentiation and integration: 4.1-4.4, 4.7, 4.9 
                                                    (11+8+11+9+7+6).     90

Chap 06: Direct Methods for Solving Linear Systems: 6.1-6.2, 6.5-6.6
                                                    (14+10+10+17)
Chap 07: Iterative Techniques in Matrix Algebra: 7.3-7.5 (14+7+11).     
Chap 08: Approximation Theory: 8.1 (11).                                 83

Week 01:
 Tu: 09/15:  
 Fr: 09/18:   
  0.1: Matlab (Octave) Tutorial
  review basic programming components: if, for, while loop, etc.
  1.2: Rounding Errors and Computer Arithmetic (15)

Week 02:
 Tu: 09/22:  
 Fr: 09/25:   
  1.3: Algorithms and Convergence (9)
  2.1: Bisection (7)

Week 03: 
 Tu: 09/29: quiz 1 ---------------------------------------(homework 01 ) 
 Fr: 10/02: Bridge holiday for Mid-autumn festeval (Oct 01), -------- no class.
  2.2: Fixed Point Iteration (11)

Week 04:
 Tu: 10/06: 
 Fr: 10/09: Makeup holiday for the National Day (Oct 10), ----------- no class.
  2.3: Newton's method  (12)

Week 05: 
 Tu: 10/13: 
 Fr: 10/16: quiz 2 ---------------------------------------(homework 02 03 ) 
  2.4: Error Analysis for Iterative Methods (8)

Week 06: 
 Tu: 10/20: 
 Fr: 10/23: 
 10.1: Fixed Points for Functions of Several Variables (9)
 10.2: Newton's Method (8)

Week 07: 
 Tu: 10/27: Midterm Exam 1 ----------------------------(week 01 - week 06)
 Fr: 10/30: 
  3.1: Interpolation and Lagrangian polynomial (11)

Week 08:
 Tu: 11/03:
 Fr: 11/06: 
  3.2: Data Approximation and Neville's Method (7)
  3.5: Cubic Spline Interpolation (20)

Week 09:
 Tu: 11/10: 
 Fr: 11/13: 
  4.1: Numerical Differentiation (11)

Week 10:
 Tu: 11/17: quiz 3 --------------------(homework 07 - homework 08 ) 
 Fr: 11/20:
  4.2: Richardson Extrapolation (8)
  4.3: Elements of Numerical Integration (10)

Week 11:
 Tu: 11/24:
 Fr: 11/27: 
  4.4: Composite Numerical Integration (10)

Week 12:
 Tu: 12/01: quiz 4 --------------------(homework 09 - homework 10 )
 Fr: 12/04: 
  4.7: Gaussian Quadrature (7)
  4.9: Improper Integrals (5)

Week 13:
 Tu: 12/08: Midterm Exam 2 -------------------------(week 07 - week 12)
 Fr: 12/11: 
  6.1: Linear System of Equations (14)

Week 14:
 Tu: 12/15: 
 Fr: 12/18: 
  6.2: Pivoting Strategies (9)
  6.5: Matrix Factorization (11)

Week 15:
 Tu: 12/22 
 Fr: 12/25: 
  6.6: Special types of Matrices (17)  
  7.3: The Jacobi and Gauss-Siedel Iterative Techniques (12)

Week 16:
 Tu: 12/29: quiz 5 --------------------(homework 13 - homework 14 (39)) 
 Fr: 01/01: New Year's day, ---------------------------------------- no class. 
  7.4: Relaxation Techniques for Solving Linear Systems ( 7)
  7.5: Error bounds and iterative refinement            (10)

Week 17:
 Tu: 01/05: 
 Fr: 01/08: 
  8.1: Discrete least square problems                   (12)

Week 18:  
 Tu: 01/12: Final Exam ---------(week 13 - week 17 (97))