Last update: Nov 18, 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. Week 01: (No recitation this week) Tu: 09/13: Fr: 09/16: 0.1: Matlab (Octave) Tutorial 1.2: Rounding Errors and Computer Arithmetic (13) Week 02 and on: check back later Tu: 09/20: Fr: 09/23: 1.3: Algorithms and Convergence (8) 4.1: Numerical Differentiation (11) Week 03: Tu: 09/27: Fr: 09/30: 4.1: Numerical Differentiation - continue 4.2: Richardson Extrapolation (8) 4.3: Elements of Numerical Integration (9) Week 04: Tu: 10/04: quiz 1 --------------------(homework 01 - homework 02) Fr: 10/07: 4.3: Elements of Numerical Integration - continue 4.4: Composite Numerical Integration (11) Week 05: Tu: 10/11: Fr: 10/14: 4.4: Composite Numerical Integration -continue (delayed by reviewing quiz 01) 4.7: Gaussian Quadrature (6) Week 06: Tu: 10/18: quiz 2 --------------------(homework 04 - homework 05) Fr: 10/21: No class. Week 07: Tu: 10/25: Midterm Exam 1 ---------------------------(week 01 - week 05 (71)) Fr: 10/28: 6.1: Linear System of Equations (14) Week 08: Tu: 11/01: Fr: 11/04: 6.2: Pivoting Strategies (10) 6.5: Matrix Factorization (10) Week 09: Tu: 11/08: Fr: 11/11: quiz 3 --------------------(homework 07 - homework 08) 6.6: Special types of Matrices (15) Week 10: Tu: 11/15: Fr: 11/18: 6.6: Special types of Matrices -- continue Week 11: Tu: 11/22: Fr: 11/25: quiz 4 --------------------(homework 09 - homework 10) 7.3: Iterative techniques for solving linear systems (18) 7.4: Error bounds and iterative refinement (10) Week 12: Tu: 11/29: No class Fr: 12/02: Midterm Exam 2 -------------------------(week 07 - week 11 (76)) Week 13: Tu: 12/06: Fr: 12/09: 2.1: Bisection (7) 2.2: Fixed Point Iteration (10) Week 14: Tu: 12/13: Fr: 12/16: 2.3: Newton's method (12) 2.4: Error Analysis for Iterative Methods (8) 2.5: Accelerating Convergence (4) % 2.6: Muller's Method (if time permits) (10) % 8.1: Discrete least square problems (if time permits) (10) Week 15: Tu: 12/20: Fr: 12/23: quiz 5 --------------------(homework 13 - homework 14) 10.1: Fixed points for functions of several variables ( 9) 10.2: Newton's method (10) Week 16: Tu: 12/27: Fr: 12/30: 10.3: Quasi-Newton methods ( 7) 10.4: Steepest Descent Techniques ( 7) Week 17: Tu: 01/03: quiz 6 --------------------(homework 15 - homework 16) Fr: 01/06: Week 18: Fr 01/14: Final Exam ---------(week 12 - week 17 (74))