# Math 544 / CptS 531 Homework Assignments

• Homework will be collected in class every Friday.
• For full credit on your homework, be sure to get it to me by Friday at 1 PM at the latest.
 Assignment 1 due 1/22 1.1.14, 1.2.17, 18, 20 Assignment 2 due 1/29 1.3.15, 16, 1.4.21, 22, 31, 68, 70 Assignment 3 due 2/05 1.4.47, 54, 56, 1.5.12, 13, 1.6.5, 1.7.10, 18 Assignment 4 due 2/12 1.7.26, 27, 50a-d, 1.8.4, 9, 11 Assignment 5 due 2/19 2.1.30, 2.2.15, 29, 2.4.4, 2.5.10, 2.6.5, 6, 2.7.25 Assignment 6 due 2/26 2.7.26, 3.1.5, 6, 7 Assignment 7 due 3/11 3.2.14, 28, 37, 39, 64, 3.3.7, 8, 10 Assignment 8 due 3/25 3.4.5, 28, 3.5.2, 5, 23, 29 Assignment 9 due 4/01 4.1.14, 16, 4.2.8, 10, 20, 4.3.9, 4.4.16 Assignment 10 due 4/08 5.1.20, 22, 5.2.14, 17, 23a, 5.3.8, 9 Assignment 11 due 4/15 5.3.20, 37, 5.4.33, 34, 42, 46 Assignment 12 due 4/22 5.5.7, 5.6.10bcde, 11 Assignment 13 due 5/99 5.6.3, 4, 5 Assignment 14 due 6/99 6.1.2, 4, 7, 9, 6.2.2, 9, 6.3.5, 7, and many more
• Remark on Exercise 1.4.68: To understand part (d) properly, write the stiffness matrix A as a sum A = A_1 + A_2 + A_3 + A_4, where A_j includes only the contribution from the jth spring. You may find it useful to go back and rewrite the matrix A in terms of the stiffnesses k_1, k_2, k_3, k_4, not assuming equal stiffnesses. Then it becomes clearer which contribution came from which spring. Part (e) is handled similarly.

• Remark on Exercise 1.6.5: I do not need to see code or spy plots. (I've seen them before.) I just want to see some numbers and a few intelligent remarks.

• Remark on Exercise 2.2.29: I encourage you to try a larger value of m (m = 60? 70?). Also, do the timings at least twice. Sometimes the second time is much faster than the first, due to the way MATLAB is organized these days.

• Remark on Exercises 3.1.5-7: Just turn in one plot with all the curves on it. The data points should be plotted as discrete points, not connected by line segments. (Also, there is a minor but annoying typographical error in the MATLAB code in 3.1.7. I wrote ".08" when I really meant "0.8".)

• Remark on Exercise 5.6.11: Use the shifting strategy from 5.6.10a and just iterate until the first deflation. Sometimes you get two eigenvalues and sometimes you get one. What convergence rate are you seeing? Play around with this a bit, but just turn in two or three representative results.