Math 308-511 Homework -- Spring 1999
- Instructions.
- Problems highlighted in blue
boldface type are to be turned in by the due-date listed;
these problems will be graded, and must be done neatly.
- All problems requiring a sketch or numerical work must be
done with MATLAB. At the minimum, a plot should have a title, labeled axes,
and include your name and the problem number.
- To obtain a solid knowledge of the subject, you are
strongly encouraged to work the other problems as well.
- Week of 1/17. Due
2/2.
- Nagle/Saff
- Read Chapter 1.
- Section 1.1, pg. 5; 2,3,5,6,8.
- Section 1.2, pg. 14: 5,7,8, 11, 12,17,18,20,21, 22a, 29,31.
- Section 1.3, pg. 22: 3, 5, 9,10c,15,17.
- Section 1.4, pg. 28: 2, 9.
- Pratap
- Read Chapter 1 and Section 2.1.
- Section 2.1, p. 21.
- Week of 1/24. Due
2/4.
- Nagle/Saff
- Read Section 2.2.
- Section 2.2, pg. 44: 3,5,12,15, 23, 26-29,31,32,
35 (Sketch the solution.), 36.
- Pratap
- Read Sections 2.2 and 2.3.
- Section 2.2, pg. 25: 1-5.
- Section 2.3, pg. 29: 1-7.
- Week of 1/31. Due
2/11.
- Nagle/Saff
- Read Sections 2.3, 3.1, and 3.2.
- Section 2.3, pg. 52:
10,13,14, 21,
25,28-30,32,33,35.
- Section 3.2, pg. 98: 7 (Sketch the
solution.), 10, 18,
25,26.
- Pratap
- Read Sections 2.4 and 2.5.
- Section 2.4, pg. 33: 1, 2, 3-6.
- Section 2.5, pg. 37: 1-6.
- Week of 2/7. Due
2/18.
- Nagle/Saff
- Read Sections 4.1-4.3, 5.1.
- Section 4.2, pg. 158: 1,3,6,7,9, 13(b)
(sketch), 14(a),19,20,25,26, 27.
- Section 4.3, pg. 167: 3, 6, 7
(sketch), 13.
- Section 5.1, pg. 245:
6 (Sketch, and label the point asked
for.)
- Pratap
- Re-read sections 2.3-2.5.
- Week of 2/14. Due
3/4.
- Nagle/Saff
- Read Sections 4.4-4.6.
- Section 4.4, pg. 173: 1,4,6,
9.
- Section 4.5, pg. 180: 6,11, 19, 35, 41.
- Section 4.6, pg. 186: 4,8,13, 22
(sketch), 33, 36
(sketch).
- Pratap
- Read section 3.1.
- Week of 2/28. Due
3/11.
- Nagle/Saff
- Read Sections 4.7-4.9, 5.2 and 5.3.
- Section 4.7, pg. 191: 4, 11, 14.
- Section 4.8, pg. 200: 8,13,
37, 59.
- Section 4.9, pg. 206: 11, 22, 24.
- Section 5.2, pg. 253:
5, 6 (sketch), 7.
- Section 5.3, pg. 259:
2, 4.
- Pratap
- Read section 3.1.
- Week of 3/21. Due
3/25.
- Nagle/Saff
- Read Sections 4.10 (pgs. 207-208), 7.1, and 7.2.
- Section 4.10, pg. 214: 1-4.
- Using the M-file pend_event.m as a template, write an
M-file, to be used with ode45, that solves the damped
pendulum problem,
d2T/dt2 + 4*sin(T) + dT/dt = 0,
and detects the event sin(T)=0. Use [0;4.5] for the initial conditions.
Plot T vs. t, and use circles to show the times and angles corresponding
to the event. Hand in the M-file and the plot.
- Pratap
- Read section 5.5.
- Week of 3/28. Due
4/1.
- Nagle/Saff
- Read Sections 7.3-7.6.
- Section 7.3, pg. 369: 9,12,24,30.
- Section 7.4, pg. 379: 3,9,11,19,24,39.
- Week of 4/5. Due
4/8.
- Nagle/Saff
- Read Sections 7.6-7.8, 9.2.
- Section 7.5, pg. 387: 7,8,10,12,13,17,21,23,31,35.
- Section 7.6, pg. 399: 3,5,6,9,13,14,15,19,29,32,35 (sketch),36,39.
- Week of 4/12. Due
Tuesday, 4/20.
- Nagle/Saff
- Read Sections 9.2-9.4.
- Section 7.6, pg. 399: 26,27.
- Section 7.7, pg. 409: 5,8,11,15,25,28.
- Section 7.8, pg. 417: 3,4,10,11,19,23,29.
- Week of 4/18. Due Tuesday, 4/27. (Optional)
- Nagle/Saff
- Read Sections 9.3-9.6.
- Section 9.3, pg. 531:
2,3,7,10,13,17,
20,21,24,28.
- Section 9.4, pg. 541:
1,4,5,6,11,12,15,19,21,28,45.
- Section 9.5, pg. 548:
1,3,6,9,13(a,b),19,20.
- Pratap
- Read sections 5.1.1-5.1.3.