Final exam study sessions: Sunday and Monday, 11 and 12 May, 5-6:30pm in Altgeld 143.
Quiz 5 Solutions are available at the Quiz page.
Office hours will be in the Engineering Hall 406B1
computer lab on Tuesday 5-6pm and Wednesday 2-3pm.
Office hours in my office are Thursday 3-4pm, Friday 11am-noon, and
Monday 11am-noon.
Let me know by email if you want
to meet at some other time.
The median scores on the Homeworks so far are:
8.25, 9, 7, 9.5, 9, 9, 9.5, 8.75, 9, 10, 9
(all out of 10)
The median scores on the Quizzes so far are:
5, 1, 3, 3, 4 (all out of 5)
The top score on Test 1 was: 75/75, median 36/75.
Approximate A: 56-75, B: 42-55, C: 30-41, D: 24-29, F: 0-23.
The top score on Test 2 was: 91/100, median 58/100
Approximate A: 73-100, B: 60-72, C: 48-59, D: 36-47, F: 0-35.
End of Announcements.
Homework can be turned in during class, or to the box outside my office 376 Altgeld Hall. To be accepted, every homework must start with a cover sheet (either print 12 copies of this, or else use the individual links below). All homework must be stapled.
I encourage you to form groups of two or three to discuss the homework problems. After discussing them, each of you should write up your own solutions.
Late homework will be accepted only if you have made prior arrangement with me. Exceptions will be made, for example, in case of serious illness or family emergency.
I will drop your 2 lowest homework scores, over the semester. But some of the assignments will be announced as mandatory (i.e. they cannot be dropped).
|
Homework # 1 Cover sheet |
Hand in the following: Homework 1 Supplement (print this off) Section 1.1: 9, 13, 19, 24, 33 (and solve for v(t)), 35 Section 1.2: 3, 9, 18 (acceleration is nonconstant, so eq. (11) does not apply) |
Due Wednesday 29 January, 5:30pm
Supplement Solutions |
| Homework # 2 Cover sheet |
Section 1.3: Project 1 | Due Wednesday 5 February, 5:30pm |
| Homework # 3 Cover sheet |
Section 1.4: 8, 16, 17, 28, 46, *58 (extra credit) (In #46, first consider (Delta t)=1 month and find a formula for (Delta P). Then consider (Delta t)=1/2 month, and find a formula for (Delta P). Generalize to get a formula for (Delta P)/(Delta t), then let (Delta t) tend to zero.) Section 1.5: 14, 19, 20, 29, 34 (In #19 it should be y'+y cot x=cos x, not y'+y cos x=cos x as some books have.) Section 1.6: 14, 16, 29, 49 (Aside: #49 is the default example in Iode.) |
Due Wednesday 12 February, 5:30pm |
| Homework # 4 Cover sheet |
Section 2.2:
Consider the following two equations: (a) (dx/dt) = x^2 - x - 6 (b) (dx/dt) = cos2x For each equation, (i) find all "equilibrium" x-values (also called "critical points", on p. 89), (ii) draw the phase line, (iii) determine the stability or instability of all equilibrium x-values, (iv) plot enough solution curves (either by hand or with Iode) to make the picture clear in all regions of the tx-plane, (v) find the general solution by hand (for example by using the method of partial fractions to integrate, or by looking up integrals from a table). [Check: do your plots in part (iv) basically agree with your solution formula in part (v)?] Section 2.4: Project 2 (*Question 5 on this project is for extra credit.) |
Due Wednesday 19 February, 5:30pm Mandatory |
| Homework # 5 Cover sheet |
Section 3.1: 5, 10, 19, 36, 37, 46, 48 Section 3.3: 9, 22, 42, 43(b) |
Due Wednesday 5 March, 5:30pm |
| Homework # 6 Cover sheet |
Problem on solving large linear systems Section 3.1, 3.3: Project 3 Section 3.4: 3, 13, 14 (And for # 13, 14: determine whether the system is overdamped, critically damped, or underdamped. Check: plot your function x(t) using "Plot arbitrary function" in Iode to make sure the graph looks like Figure 3.4.11 or 3.4.12.) |
Due Wednesday 12 March, 5:30pm Mandatory |
| Homework # 7 Cover sheet |
Section 3.4: 5 (first read the instructions above the problem), 6, 23
(here m=100, and you should express omega in radians per second), 31 (you can use the binomial series on page 514; it is just the Taylor series of f(x)=(1+x)alpha around x=0) Section 3.5: 3, 4, 8, 9, 13, 25, 26 |
Due Wednesday 19 March, 5:30pm
|
here. (If you have
comments specifically about Iode or the computer projects, then they are
best submitted
here).
| Homework # 8 Cover sheet |
Download Homework 8. And here's the solution to a related Neumann exercise from class. |
Due Friday 4 April, 11am |
| Homework # 9 Cover sheet |
Download Homework 9. | Due Thursday 17 April, noon
HW9 Solutions |
| Homework # 10 Cover sheet |
Section 9.3: 9, 13, 15 [Hint: for 13 and 15 you might want to use results from
Example 1 in Section 9.3]
And do the Fourier series project. |
Due Wednesday 23 April, 5:30pm Mandatory |
| Homework # 11 Cover sheet |
Download Homework 11 | Due Wednesday 30 April, 5:30pm |
| Homework # 12 Cover sheet |
Download Homework 12. | Due Wednesday 7 May, 5:30pm. Mandatory Short Solutions |