Math 352: Elementary Numerical Analysis II

Course syllabus for Math 352 Winter 2014

Solution of practice midterm exam

Useful Mathematica notebooks:

• Chebyshev Polynomials
• Interpolating a Set of Data
• Interpolating Polynomial
• Least Squares Fitting Polynomial
• Example of Ill-conditioned matrix
• Gaussian Elimination
• Natural cubic interpolation spline function
• B-spline basis functions
• Bezier curve
• B-spline curve

For the online class on February 21, 2014 explore the following Mathematica notebooks involving numerical solutions of ODEs:

• Slope Fields
• Families of Solutions for ODEs
• Understanding Runge-Kutta
• Global and Local Errors in Runge-Kutta Methods

Tentative weekly schedule

 Week Reading Homework 1 Ch. 7 7.1: 2, 3, 5, 6 7.2: 2, 4, 8, 9, 12 2 Ch. 7-8 7.3: 1, 4, 5, 6 8.1: 2, 4, 8, 9 3 Ch. 8 8.1: 12, 21, 22 8.2: 5, 6. Write down the formula for Jacobi and Gauss-Seidel method in the matrix form for the linear system in computer problem 8.2C: 1 (a)(b) 4 9.1 9.1: 1, 2, 9, 10, 11, 12, 14, 17, 20 5 9.2 9.2: 2, 3, 7, 11, 13, 14, 19, 25, 32, 41 6 9.3 9.3: 3, 5, 7, 16, 23, 33 7 Ch. 10 10.1: 5, 6, 9, 10, 11, 12 Midterm Exam Review Problems: 7.2: 3,6 8.1: 10,18 8.2C: 1 (Jacobi method by hand) 9.1: 1,17 9.2: 4,8 8 Ch. 11 10.2: 2, 3, 4, 6, 8, 12 11.2: 4, 5, 6, 9 9 Ch. 12 12.1: 1, 2, 5, 7, 13, 18 12.2: 1 10 Ch. 7-12 Review for Final Exam

Last update: Feb. 26, 2014