Homework 1 (due Thu Jan 29. beginning of class)
1.1: 9, 16, 20, 32, 40
1.2: 3, 8, 17
1.3: Project I
(direction fields)
1.4: 15, 17, 25, 47
Homework 2 (due Thu Feb 5. beginning of class)
1.5: 9, 13, 18, 38
1.6: 14, 16, 23, 61
2.2: 1, 3, 23
Homework 3 (due Thu Feb 12. beginning of class)
Mandatory (must hand in!) 2.4: Project II
Optional (do not hand in): 3.1: 5, 12, 19, 27, 36, 37, 48
Optional (do not hand in): 3.2: 6, 9, 25, 26
Homework 4 (due Thu Feb 19. beginning of class)
3.3: 7, 8, 22, 26, 42, 43
Project III
3.4: 3 (write 20cm as 0.2m), 5 (first read the instructions
above the problem, and read pages 183-184), 13, 14 (And for # 13, 14:
determine whether the system is overdamped, critically damped, or
underdamped.),
Homework 5 (due Thu Feb 26. beginning of class)
3.4: 6 (this means the pendulum takes 24 hours 2 minutes and 40
seconds at the equator to complete as many cycles as it does during 24 hours at
Paris), 23 (here m=100, and you should express omega in radians per second)
3.5: 3, 10, 22, 34, 43, 50
3.6: 5, 6, 11, 18, 24, 25
(do not turn in) 3.5: 4, 6, 26, 29
Homework 6 (due Thu Mar 5. beginning of class)
4.1: 5, 24
5.1: 2, 3, 6, 12, 20, 22, 31 (no need for wronskians in 22, just check that
when t=0, you can't write one as a constant multiple of the other).
5.2: 4, 8, 11, 20, 29
Homework 7 (due Thu Mar 12. beginning of class)
5.2: 38
5.3: 3, 9, 12, 14, 20
Homework 8 (due Thu Mar 19. beginning of class)
5.4: 7, 11
5.5: 9, 19, 23, 27, 32
Homework 9 (due Thu Apr 2. beginning of class)
5.6: 2, 4, 7, 10, 14, 16, 25
Homework 10 (due Thu Apr 9. beginning of class)
3.8: 3, 16
9.1: 1, 8, 9, 12, 19, 25
9.2: 8, 13, 25
Homework 11 (due Thu Apr 16. beginning of class)
Project 4 (Fourier series)
9.3: 6, 11
Homework 12 (due Thu Apr 23. beginning of class)
9.4: 4, 14
9.5: 3, 9, 14, 19, 22
Homework 13 (due Thu Apr 30. beginning of class)
9.6: 3, 11, 14