We have our first Computer class on Wednesday 28th January, in the Engineering building, rooms EH 406B1 and EH 406B8. Everyone who is not an engineering student MUST send me an email so that I can create an account for them.
End of Announcements.
Homework can be turned in during class, or to the box outside my office 371 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, maybe four, to discuss the homework problems. From my own experience I know that groups of five or more by far don't work as well as groups of four or less. 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: Supplement 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
Friday 30 January, beginning of class.
Supplement Solutions and HW1-solutions |
| Homework # 2 Cover sheet |
Section 1.4: 2, 12, 21, 27, 34. |
Due Friday 6 February, in class
HW2-solutions |
| Homework # 3 Cover sheet |
Section 1.3: Project 1 |
Due Friday 13 February, in class Project 1 Solutions |
| Homework # 4 Cover sheet |
Section 1.4: Problem 58 (read page 41 and Example 8 on page 42)
Section 1.5: Problems 3, 14, 20, 36a,b Also do the following problem: 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. 93), (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)?] |
Due Friday 20 February, in class.
HW4-solutions |
| Homework # 5 Cover sheet |
Project 2 | Due Friday 13 March, in class.
Project 2 Solutions |
| Homework # 6 Cover sheet |
Section 3.1: 5, 10, 19, 20, 36, 37, 40 Section 3.3: 9, 22, 43(b) |
Due Friday 20 March, in class.
HW6-solutions |
| Homework # 7 Cover sheet |
Section 3.2: 16, 18, 27, 31a,b. Section 3.3: 11, 13, 24, 30, 31, 37, 38, 39, |
Due Friday 3 April, in class. |
| Homework # 8 Cover sheet |
Section 3.4: 5 (first read the instructions above the problem), 6,
24, 31
(you can use the binomial series; it is just the Taylor
series of f(x)=(1+x)1/2 around x=0) Section 3.5: 3, 9, 25, 26 |
Due Friday 17 April, in class.
HW8-solutions |
| Homework # 9 Cover sheet |
Section 3.5: 58. Section 3.6: 15, 18. Do also Project 3. You DO NOT have to hand in project 3, but I most strongly recommend that you do it! |
Due Friday 24 April, in class.
Project 3 Solutions HW9-solutions |
| Homework # 10 Cover sheet |
Section 9.1: 13, 17
(Question: Why does the result for 17 also give a quick solution for 18?). Section 9.2: 3, 18 Section 9.4: 3 (Do not plot the solution), 7, 11. For a better understanding of Fourier series you can also do Project 4. You DO NOT have to hand in project 4, but I recommend that you do at least part of it. |
Due Wednesday 6 May, in class.
Project 4 Solutions HW10-solutions |