Last update: Oct 29, 2017
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: 2.1-2.5 (7+11+12+8+5). 
Chap 10: Numerical Solutions of Nonlinear Systems of Equations: 10.1-10.2(9+8) 83.

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+11+9+7+6).    83

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).     83
Chap 08: Approximation Theory: 8.1 (11).

Week 01:
 Tu: 09/12:  
 Fr: 09/15:   
  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: 09/19:  
 Fr: 09/22:   
  1.3: Algorithms and Convergence (9)
  2.1: Bisection (7)

Week 03: 
 Tu: 09/26: quiz 1 ---------------------------------------(homework 01 ) 
 Fr: 09/29:
  2.2: Fixed Point Iteration (11)
  2.3: Newton's method  (12)

Week 04:
 Fr: 10/03: (recitation hw02) 
 Fr: 10/06: (recitation hw03) 
  2.4: Error Analysis for Iterative Methods (8)
  2.5: Accelerating Convergence (5)

Week 05: 
 Tu: 10/10: Holiday ------------------- no class.  
 Fr: 10/13: quiz 2 ---------------------------------------(homework 02 03 ) 
 10.1: Fixed Points for Functions of Several Variables (9)
 10.2: Newton's Method (8)

Week 06: 
 Tu: 10/17: 
 Fr: 10/20: (recitation hw04, recitation hw05) 

Week 07: 
 Tu: 10/24: Midterm Exam 1 -------------------------------(week 01 - week 05 (83))
 Fr: 10/27: 
  3.1: Interpolation and Lagrangian polynomial (11)

Week 08:
 Tu: 10/31:
 Fr: 11/03: (recitation hw07) 
  3.5: Cubic Spline Interpolation (20),

Week 09:
 Tu: 11/07: (recitation hw08) 
 Fr: 11/10: quiz 3 --------------------(homework 07 - homework 07 (31)) 
  4.1: Numerical Differentiation (11)
  4.2: Richardson Extrapolation (8)

Week 10:
 Tu: 11/14: (recitation hw09) 
 Fr: 11/17:
  4.3: Elements of Numerical Integration (10)
  4.4: Composite Numerical Integration (10)

Week 11:
 Tu: 11/21: (recitation hw10) 
 Fr: 11/24: quiz 4 --------------------(homework 09 - homework 10 (34))
  4.7: Gaussian Quadrature (7)
  4.9: Improper Integrals (5),

Week 12:
 Tu: 11/28: 
 Fr: 12/01: Midterm Exam 2 -------------------------(week 08 - week 10 (51))

Week 13:
 Tu: 12/05: 
 Fr: 12/08: (recitation) 
  6.1: Linear System of Equations (14)
  6.2: Pivoting Strategies (9)

Week 14:
 Tu: 12/12: 
 Fr: 12/15: 
  6.5: Matrix Factorization (11)
  6.6: Special types of Matrices (17)  

Week 15:
 Tu: 12/19: quiz 5 --------------------(homework 11 - homework 13 (51)) 
 Fr: 12/22: 
  7.3: The Jacobi and Gauss-Siedel Iterative Techniques (12)
  7.4: Relaxation Techniques for Solving Linear Systems ( 7)

Week 16:
 Tu: 12/26: 
 Fr: 12/29: Holiday ------------------- no class.  
  7.5: Error bounds and iterative refinement            (10)
  8.1: Discrete least square problems                   (12)

Week 17:
 Tu: 01/02:
 Fr: 01/05:
Contents to be determined.

Week 18:  01/09 or 01/12: Final Exam ---------(week 13 - week 17 (75))