Introduction to Numerical MethodsSpring 2012

Thursdays, 9:00 ~ 12:00 PM

Instructor: Prof. Berlin Chen (陳柏琳 教授)

Tentative List of Topics:

02/23

03/01

Mathematical Modeling, Numerical Methods, and Problem Solving

03/08 Programming with MATLAB 03/15 Roundoff and Truncation Errors Homework 1: 4.10, 4.13, 4.16 (Due 04/12)03/22 Roots: Bracketing Methods

Roots: Open MethodsHomework 2: 5.4, 5.14, 6.4 (Due 04/12)03/29 Exercise (Chapters 1-6)04/05 Spring Break04/12 Optimization

Linear Algebraic Equations and Matrices04/19 Gauss Elimination

LU Factorization04/26 Midterm05/03 Matrix Inverse and Condition

Iterative MethodsHomework 3: 9.7, 10.3, 11.13, 12.8 (Due 05/10)05/10 Eigenvalues

Discussion on Homework 1 & 2 and Midterm05/17 Linear Regression

Generalized Linear Least-squares and nonlinear regression05/24 Polynomial Interpolation

Splines and Piecewise Interpolation05/31 Quiz06/07 Numerical Integration Formulas

Numerical Integration of Functions06/14 Final

Textbooks:

1. Steven C. Chapra,Applied Numerical Methods with MATLAB for Engineers and Scientists, McGraw-Hill, 20122. Steven C. Chapra and Raymond P. Canale,

Numerical Methods for Engineers, McGraw-Hill, 2010