Math 5485
Introduction to Numerical Methods I
Fall 2008, University of Minnesota



Homework schedule

Week
Dates
Read
Assigned Problems
Due Date
1
9/3
Chapter 1 Section 1.3: 1b, 3, 4ab, 9 9/10
2
9/5-9/10
Sections 2.1, 2.2 Section 1.4: 1a, 2, 7, 13
Section 2.1: 1d, 3, 8, 11, 16a
Section 2.2: 1d, 5 (parts 1 & 3), 13
9/17
3
9/12-9/17
Sections 2.3, 2.4 Section 2.3: 1, 5, 7, 11
Section 2.4: 1d, 4, 9, 14a
9/24
4
9/19-9/24
Sections 2.5, 2.6, 2.7 Section 2.5: 1d, 6,11a
Section 2.6: 1, 5, 8, 10
Section 2.7: 1b, 2b
10/1
5
9/26-10/1
Sections 3.1, 3.2 1. Write a Matlab program to solve a linear system by Gaussian Elimination with Partial Pivoting.

2. Solve the linear system from Section 3.1, Exercise 12. Use double precision arithmetic for both (a) and (b) (default in Matlab). Perform the computations for n = 2, 4, 6, . . . , 18, 20. Explain your results.

Section 3.1: 1, 10
Section 3.2: 7
10/8
6
10/3-10/8
Sections 3.5 - 3.7 Section 3.5: 10a, 11
Section 3.6: 2, 10
Section 3.7: 5b, 10b, 14b
10/15
7
10/10-10/15
Sections 3.3, 3.4 Midterm bridge project 10/22
8
10/17-10/22
Section 3.8 Section 3.3: 2a, 3a,b(a), 5b, 6b
Section 3.4: 7(a), 11
Section 3.8: 9, 11 (for 9), 12 (for 9), 13
10/31
9
10/24-10/29
Sections 3.9, 3.10, 4.1 Section 3.9: 7
Section 3.10: 7 (just do Newton's Method), 11b
Section 4.1: 2, 11, 14a, 15a
11/5
10
10/31-11/5
Sections 4.2, 4.3 Section 4.2: 2, 8, 10
Section 4.3: 1b, 5
11/14
11
11/7-11/12
Sections 4.4, 4.5 Prepare for in class midterm. See study guide. 11/19
12 & 13
11/14-11/24
Sections 5.1, 5.2, 5.3 Section 4.4: 1a-c, 4a, 5a, 8
Section 4.5: 6 (ignore the Wilkinson shift), 12
Section 5.1: 2,5,8
Section 5.2: 1b, 4, 9, 12
Section 5.3: 4, 8, 11
12/3
14
12/1-12/3
Sections 5.4,5.5,5.6 Section 5.4: 2, 3, 10 (only uniform and Chebyshev)
Section 5.5: 4, 10
Section 5.6: 6, 10, 15
12/10
15
12/5-12/10
Sections 5.7 Section 5.7: 1, 6, 8, 9 Do not hand in