Last update: Oct 26, 2010 Textbook: Atkinson and Han: Elementary Numerical Analysis, 3nd edition. Sample codes: http://www.wiley.com/college/atkinson Errors and Other course materials: http://www.math.uiowa.edu/ftp/atkinson/ENA_Materials (see also page viii of the textbook) Office hour: XX 0PM-0PM (ºî¤TÀ] 721, ext 62231), XX 0PM-0PM (TA2: ºî¤TÀ] 212, ext 33066) Course contents: Chap 0: Programming Language Tutorial. 0.1: Matlab (Octave) Tutorial Chap 1: Mathematical Preliminaries and Error Analysis 1.2: Rounding Errors and Computer Arithmetic 1.3: Algorithms and Convergence Chap 2: Solutions of Equations in One Variable 2.1: Bisection 2.2: Fixed Point Iteration 2.3: Newton's method 2.4: Error Analysis for Iterative Methods 2.5: Accelerating Convergence 2.6: Muller's Method Chap 3: Interpolation and polynomial approximation 3.1: Interpolation and Lagrangian polynomial 3.2: Divided Difference 3.3: Hermite Interpolation 3.4: Cubic Spline Interpolation Chap 4: Numerical differentiation and integration 4.1: Numerical Differentiation 4.2: Richardson Extrapolation 4.3: Elements of Numerical Integration 4.4: Composite Numerical Integration 4.5: Gaussian Quadrature Chap 6: Direct Methods for Solving Linear Systems (print) 6.1: Linear System of Equations 6.2: Pivoting Strategies 6.5: Matrix Factorization 6.6: Special Types of Matrices Grading: quiz, homework, midterm(s) and final. No late homeworks will be accepted. Week 01: (No recitation this week) Tu: 09/14: Fr: 09/17: 0.1: Matlab (Octave) Tutorial 1.2: Rounding Errors and Computer Arithmetic (13) Week 02: Tu: 09/21: Fr: 09/24: 1.3: Algorithms and Convergence (8) 2.1: Bisection (7) Week 03: Tu: 09/28: ------------------------ Teachers' day. No class. Fr: 10/01: quiz 1 --------------------(homework 01 - homework 02) Week 04: Tu: 10/05: Fr: 10/08: 2.2: Fixed Point Iteration (10) 2.3: Newton's method (12) Week 05: Tu: 10/12: Fr: 10/15: 2.4: Error Analysis for Iterative Methods (8) 2.5: Accelerating Convergence (4) Week 06: Tu: 10/19: quiz 2 --------------------(homework 03 - homework 04) Fr: 10/22: 2.6: Muller's Method (10) Week 07: (No recitation this week) Tu: 10/26: Midterm Exam 1 ---------------------------------(week 01 - week 05) Fr: 10/29: 3.1: Interpolation and Lagrangian polynomial (15) Week 08: Tu: 11/02: Fr: 11/05: 3.1: Interpolation and Lagrangian polynomial (continue) 3.2: Divided Difference (11) Week 09: Tu: 11/09: Fr: 11/12: quiz 3 --------------------(homework 07 - homework 08) 3.3: Hermite Interpolation (7) 3.4: Cubic Spline Interpolation (20) Week 10: Tu: 11/16: Fr: 11/19: 3.4: Cubic Spline Interpolation (continue) 4.1: Numerical Differentiation (11) Week 11: Tu: 11/23: Fr: 11/26: quiz 4 --------------------(homework 09 - homework 10) 4.1: Numerical Differentiation (continue) Week 12: Tu: 11/30: Fr: 12/03: 4.2: Richardson Extrapolation (8) 4.3: Elements of Numerical Integration (9) Week 13: Tu: 12/07: Midterm Exam 2 ---------------------------------(week 07 - week 12) Fr: 12/10: Week 14: Tu: 12/14: Fr: 12/17: 4.4: Composite Numerical Integration (11) 4.5: Gaussian Quadrature (6) Week 15: Tu: 12/21: quiz 5 --------------------(homework 13 - homework 13) Fr: 12/24: 6.1: Linear System of Equations (14) Week 16: Tu: 12/28: Fr: 12/31: 6.2: Pivoting Strategies (10) 6.5: Matrix Factorization (10) Week 17: Tu: 01/04: quiz 6 --------------------(homework 15 - homework 15) Fr: 01/07: 6.6: Special Types of Matrices (15) Week 18: Tu 01/11 or Fr 01/14: Final Exam ------------------(week 12 - week 17)