Last update: Dec 19, 2010
Textbook: Burden and Faires: Numerical Analysis, 8th edition.
Office hour: By appointment (ºî¤TÀ] 721, ext 62231), 
             Mon, 2-4PM (TA: ºî¤TÀ] computer lab at 3rd floor library, 
             Email: lin135792000@hotmail.com, phone: ext 33066)

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

Course contents:

Chap 00: Programming Language Tutorial: Matlab and Octave.
Chap 01: Mathematical Preliminaries and Error Analysis: 1.2-1.3.
Chap 04: Numerical differentiation and integration: 4.2-4.4, 4.7, 4.9.
Chap 06: Direct Methods for Solving Linear Systems: 6.1, 6.2, 6.5, 6.6.
Chap 07: Iterative Techniques in Matrix Algebra: 7.3-7.4.
Chap 02: Solutions of Equations in One Variable: 2.1-2.5 (2.6).
Chap 10: Numerical Solutions of Nonlinear Systems of Equations: 10.1-10.3.

Sections: 3.2 (Neville's), 7.4 (relaxation technique, split from 7.3), 
          9.2 (ON matrices, Similarity transform, 9.6 (SVD).

Week 01: (No recitation this week) 
 Tu: 09/16:  
 Fr: 09/19:   
  0.1: Matlab (Octave) Tutorial
  1.2: Rounding Errors and Computer Arithmetic (13)

Week 02 and on:  check back later
 Tu: 09/23: 
 Fr: 09/26: 
  1.3: Algorithms and Convergence (8)
  4.1: Numerical Differentiation (11)

Week 03: 
 Tu: 09/30:
 Fr: 10/03:
  4.1: Numerical Differentiation - continue
  4.2: Richardson Extrapolation (8)
  4.3: Elements of Numerical Integration (9)

Week 04:
 Tu: 10/07: quiz 1 --------------------(homework 01 - homework 02) 
 Fr: 10/10: Holiday ------------------- no class.  
  4.3: Elements of Numerical Integration - continue
  4.4: Composite Numerical Integration (11)

Week 05: 
 Tu: 10/14: 
 Fr: 10/17: 
  4.4: Composite Numerical Integration -continue 
       (delayed by reviewing quiz 01)
  4.7: Gaussian Quadrature (6)

Week 06: 
 Tu: 10/21: quiz 2 --------------------(homework 03 - homework 04) 
 Fr: 10/24: No class. 

Week 07: 
 Tu: 10/28: Midterm Exam 1 ---------------------------(week 01 - week 05 (71))
 Fr: 10/31: 
  6.1: Linear System of Equations (14)

Week 08:
 Tu: 11/04:
 Fr: 11/07: 
  6.2: Pivoting Strategies (10)
  6.5: Matrix Factorization (10)

Week 09:
 Tu: 11/11: 
 Fr: 11/14: quiz 3 --------------------(homework 07 - homework 08) 
  6.6: Special types of Matrices (15)  

Week 10:
 Tu: 11/18: 
 Fr: 11/21: 
  6.6: Special types of Matrices -- continue

Week 11:
 Tu: 11/25:
 Fr: 11/28: quiz 4 --------------------(homework 09 - homework 10)
  7.3: Iterative techniques for solving linear systems  (18)

Week 12:
 Tu: 12/02: No class 
 Fr: 12/05: Midterm Exam 2 -------------------------(week 07 - week 11 (76))

Week 13:
 Tu: 12/09: 
 Fr: 12/12: 
  7.3: Iterative techniques for solving linear systems -- continue
  7.4: Error bounds and iterative refinement            (10)

Week 14:
 Tu: 12/16: 
 Fr: 12/19:
  8.1: Discrete least square problems  (10)
  2.1: Bisection (7)  
  2.2: Fixed Point Iteration (10) 
  2.3: Newton's method  (12)

Week 15:
 Tu: 12/23: 
 Fr: 12/26: 
  2.4: Error Analysis for Iterative Methods (8)
  2.5: Accelerating Convergence (4)

Week 16:
 Tu: 12/30: quiz 5 --------------------(homework 13 - homework 14) 
 Fr: 01/02: 
  10.1: Fixed points for functions of several variables     ( 9)
  10.2: Newton's method                                    (10)

Week 17:
 Tu: 01/06: 
 Fr: 01/09: 

Week 18: Fr 01/13: Final Exam ---------(week 12 - week 17 (74))