Math 310 Homework, Practice Problems, and Test Information
Text questions are from the 8th edition.
Homework #1. Due: Monday Sept 18 in class or email or drop box.
- Section 2.1 : 6 (use MAPLE to draw the direction field; see my Week 1 Maple worksheet
for the command. Hand in the plot (can save the image as a jpeg file; click on the plot first then go to 'export')),
16, 20, 22 (plot direction field with MAPLE), 25 (direction plot with MAPLE).
Solutions :
Homework #2. Due: Friday Sept 29; 10:30am in drop box, or email by 12noon (New Due Data).
No late assignments will be accepted (solutions will be posted friday evening, Sept 29).
Solutions : page 1, page 2,
page 3, page 4.
Figures : 2.2 #14, 2.2 #20, 2.2 #36,
2.3 #5, 2.3 #5, long-time,
2.3 #17,
3.1 #13, 3.1 #14.
Midterm #1: Monday, Oct 2. Will cover sections 2.1, 2.2, 2.3, 2.6, 3.1, 3.2, 3.3.
Some practice problems;
- Section 3.1 : 21, 22, 23, 24
- Section 3.2 : 4, 5, 6, 7, 9, 17, 21, 22, 24
- Section 3.3 : 3, 9, 11, 16, 25
Solutions to practice problems: page 1, page 2.
Homework #3. Due: Monday Oct 16 in class or email or drop box.
- Section 3.4 : 12, 16, 17, 18, 19, 26
- Section 3.5 : 11, 16, 19, 20, 38
- Problem A : Show that t*exp(rt), r=-b/2a is a solution of ay''+by'+cy=0 where b^2-4ac=0.
- Section 3.6 : 3, 5, 7, 17
- Section 3.7 : 8, 17
End of homework #3
Homework #4. Due: Wednesday, Nov 1 in class.
- Section 3.8 : 7, 11, 19, 25 (use MAPLE to plot)
- Section 3.9 : 6, 8 (plot with MAPLE), 18 (MAPLE)
- Section 5.1 : 7, 17, 18, 19, 20, 24
- Section 5.2 : 1, 3, 8, 17 (MAPLE)
- Section 4.2 : 11, 13, 18, 21
Figures for 3.9 #18
Maple worksheet. Save this file then open with MAPLE. Go " edit -> execute worksheet" to run.
Midterm #2: Wednesday, Nov 15.
Topics will include all sections we covered (see homework above) in Chapters 3,4, and 5.
Homework #5. Due: Monday, Nov 20 in class.
Homework #6. Due: 4pm Thursday, Dec 7 (drop box). Solutions will be posted here by Dec 8.
- Section 7.7 : 5, 9, 12; Solve 5, 9 in two ways; first as on bottom page 1 of my notes, and then
by computing exp(At) as in equation (16) of my notes. Note that the matrix T is made with its columns
being the eigenvectors of A
- Section 7.8 : 6, 7, 12
- Section 6.1 : 6, 7, 15,
- Section 6.2 : 3, 5 (Hint: use line #13 in Table 6.2.1), 9, 13, 17, 20, 25
- Section 6.3 : 6, 9, 15, 19a, 28, 31 (use 28)
- Section 6.4 : 2, 9 (Plot with MAPLE*)
- Section 6.5 : 4, 10, 19
- Section 6.6 : 5, 7, 9, 10 15
End of homework #6
* Here's how to use piecewise functions in MAPLE. (here's
the MAPLE 10 version of the worksheet)
Notes on fundamental matrices and repeated eigenvalues. (To be handed out in class.)
Practice problems
- Section 9.1 : 3, 4, 5, 8, 16
- Section 9.2 : 5, 6, 7, 8, 12
- Section 9.3 : 5, 6, 7, 9, 12
HW6 solutions
Maple mw Ch 9
Maple mws Ch 9
Final examination information.
Will be posted here.
Last updated: Nov 29