MATH 5610/6860, FALL 2010

Introduction to Numerical Analysis I

Course Description

Class Schedule: MTWH 10:45-11:35 a.m., JTB 130

Office Hours: MWH 1:00-2:00 p.m.

Homework

• Assignment 1 - Set 1.2: 2(b,c), 4(a,d), 10, 13, 18, 26; Set 1.3: 5, 6, 11, 16, 17. Due 9/7/10.
• Assignment 2 - Set 2.1: 4(b,d), 8, 14; Set 2.2: 4, 8, 12(b,c), 16; Set 2.3: 6(a,c,d), 8(a,c,d), 12, 15, 26. Due 9/14/10 at 5:00 p.m.
• Assignment 3 - Set 2.4: 8, 13; Set 2.5: 2, 14; Set 3.1: 2, 14(12) ; Set 3.2(3.3): 18; Set 3.3(3.4): 10; Set 3.4(3.5): 4(c), 16. Due 10/5/10 at 5:00 p.m.
• Assignment 4 - Set 4.1: 6(a,d), 20, 24; Set 4.2: 6, 10; Set 4.3: 2, 6, 24; Set 4.4: 8, 16. Due 10/18/10 at 5:00 p.m.
• Assignment 5 - Set 5.10: 4; Set 5.11: 11; Set 8.1: 4, 11; Set 8.2: 14; Set 8.3: 2; Set 8.4: 2. Due 11/24/10 at 5:00 p.m.
• Assignment 6 - Set 8.5: 2, 12; Set 8.6: 6, 9; Set 10.2: 2, 12. Due 12/6/10 at 5:00 p.m.

Projects:

• Project 1. Due 9/27/10.
• Project 2. Due 11/15/10.

Solution Notess:

• Some Notes for Assignment No. 3

Sample Test and Exam:

• Sample Test
• Final Study Guide
• Final Practice Problems, Solutions

MATLAB Resources:

• A very brief tutorial
• Polynomial interpolation code: polyintp.m (updated)
• Bisection method codes: bisection.m, myfunction.m
• Newton's method and its variants: newton.m, ftosol.m
• An example of stiff ODE system: stiffode.m, A simple illustration of function handle: myquad.m
• Using fft/ifft functions to compute Fourier coefficients: fcoefft.m
• Newton's method and Broyden's method for nonlinear systems: newton_system.m, fvec.m