
Math 337  Differential Equations 


San Diego State University  This page last updated 08May02 
This page will give a complete listing of the reading and homework assignments that you are required to do. There is a class ranking that can be found through this hyperlink.
Week 1: You should familiarize yourself with this webpage and how to navigate the different sections. Read the lecture sections on Introduction to Differential Equations and Yeast Models. Work the HW Problems for an Introduction to Differential Equations and the Maple Computer problems. These will be due Friday, Feb. 1.
Week 2:
Read Chapter 1.1 and 1.2 in the book and the lecture section on Linear
Differential Equations. Work the HW Problems for Linear
Differential Equations and the problems from the book listed below. These
will be due Friday, Feb. 8.
Exercises 1.1 (p. 14): 3, 4, 13, 16, 18
Exercises 1.2 (p. 33): 2, 6, 9, 11, 15, 24, 26, 32, 33, 36, 37
Week 3:
Read Chapter 1.3 and 1.4 in the book. Work the following Exercises from the
book:
Exercises 1.3 (p. 48): 5, 8, 15 (These are due Friday, Feb. 8.)
Also, work the problems on Euler's method
from the web.
Week 4:
Read Chapter 1.5 and 1.6 in the book. For more information on Euler's method,
you can read my Math
122 Notes on Numerical Differential Equations and can download the special
Excel spreadsheet for doing
Euler's and Improved Euler's Method (but requires some knowledge about Excel).
Work the following Exercises from the book:
Exercises 1.5 (p. 73): 2, 3, 7, 11, 14, 18 (These are due Friday, Feb. 15.)
The problems on Euler's method from
the web are due Friday, Feb. 15.
Week 5:
Read Chapter 1.7 and 1.8 in the book. The first Exam will
be on March 1. The review sheet will become available over the weekend.
The TakeHome exam is now available
and will be due on Wed. Feb. 27. Work the following Exercises from the book:
Exercises 1.6 (p. 91): 2, 4, 7, 9, 19, 21, 30, 34, 36, 37, 40, 44, 45, 46 (These
are due Friday, Feb. 22.)
Exercises 1.7 (p. 107): 2, 3, 7, 10, 11, 13, 14, 15, 16, 20, 24 (These are due
Friday, Mar. 1.)
Note the extension because I failed to finish this section
in lecture.
Week 6:
The first Exam will be on Friday, March 1. A review
sheet is available to aid your studying for the exam. Solutions
to the review sheet are available. Read Chapter 1.9 in the book. Solutions
for the Take Home Exam are available. Work the following Exercises from
the book:
Exercises 1.8 (p. 121): 2, 5, 7, 10, 13, 14, 23, 26, 29 (These are due Friday,
Mar. 1.)
Week 7:
The retake of the first Exam will be on Friday, March
8. Do NOT write on the original exam, but rather write your corrections
on a separate paper that you stable to the back of the original exam before
returning on Friday. Read the material in Chapter 2.1 and 2.2. Work the
following Exercises from the book:
Exercises 2.1 (p. 160): 16, 8, 10, 15, 20, 22 (These are due Friday, Mar. 8.)
Week 8: You
can find a class ranking through this grades hyperlink
or the one at the top of the page. Read
the material in Chapter 2.2, 2.3, and 2.4. Work the following Exercises from
the book:
Exercises 2.2 (p. 178): 3, 4, 5, 7, 11, 14, 15, 20 (Maple), 25 (These are due
Friday, Mar. 15.)
Exercises 2.3 (p. 192): 7, 9 (Maple), 15 (Maple), 16 (Maple) (These are due
Friday, Mar. 15.)
Week 9: Read
the material in Chapter 3.1, 3.2, and 3.3. At present, the plan is to have the
second TakeHome Exam given out on Mon or Wed. (3/25 or 3/27), then have Exam
2 on the Wed after Spring break (4/10). Alternatives can be discussed in class
as this will cramp the time for a third exam. Work the following Exercises from
the book:
Exercises 2.4 (p. 205): 1, 4, 7, 10 (These are due Friday, Mar. 22.)
Exercises 3.1 (p. 244): 7, 11 (Maple), 16, 17, 19, 24, 28, 29, 30, 31, 34, 35
(These are due Friday, Mar. 22.)
Exercises 3.2 (p. 263): 1, 4, 7, 8, 11, 14, 16, 17, 21, 24 (These are due Friday,
Mar. 22.)
Week 10: The
second Take Home exam is available
and is due after Spring Break on Monday, April 8. Read the material in Chapter
3.4, 3.5, and 3.6. An Euler 2D spreadsheet
in Excel is now available for the example worked in class. There are downloadable
mfiles for MatLab direction fields (pplane6.m
and ppn6out.m). I hope to demonstrate
these tools in class, but you are welcome to experiment with them. Work the
following Exercises from the book:
Exercises 3.3 (p. 279): 3, 8, 11, 14, 19, 20, 21, 23, 24 (These are due Friday,
Mar. 29.)
Exercises 3.4 (p. 296): 1, 5, 6, 10, 14, 20, 22 (These are due Friday, Mar.
29.)
Exercises 3.5 (p. 313): 2, 6, 3, 7, 9, 12, 18, 19, 21, 22, 23(These are due
Monday, Apr. 8.)
Exercises 3.6 (p. 328): 2, 5, 9, 12, 15, 16 (These are due Monday, Apr. 8.)
Week 11: Exam
2 will be Wed. April 9 and cover the
material in Chapters 2 and 3 that we covered in class. You
are allowed a 3x5 index card to help with formulae. The Take Home exam
(minus the Euler Problem) is representative of the material likely to be on
the exam. In addition, you should be sure that you understand the material in
Section 3.7, as one of those problems could be covered on the Exam. The solutions
to the Take Home Exam are now available. Work the following Exercises from
the book:
Exercises 3.7 (p. 344): 2, 6, 9 (These are due Friday, Apr. 12.)
Week 12: You
can find a class ranking through this grades hyperlink
or the one at the top of the page. Read
the material in Chapter 6.1, 6.2, and 6.3 on Laplace transforms. Work the following
Exercises from the book:
Exercises 6.1 (p. 553): 3, 5, 8, 9, 14, 16, 19, 20, 23 (These are due Friday,
Apr. 19.)
Week 13:
The third TakeHome exam is available
and is due on Wednesday, May 1. There is a minor error
on the TakeHome handed out in class. Problem 3 should have dF(s)/ds on the
right hand side of the first equation. Read the material in Chapter 6.3,
6.4, and 6.5 on Laplace transforms. Work the following Exercises from the book:
Exercises 6.2 (p. 561): 2, 5, 6, 10, 11, 13, 14, 17, 19 (These are due Friday,
Apr. 26.)
Exercises 6.3 (p. 575): 4, 7, 10, 15, 18, 27, 28, 30, 31, 33 (These are due
Friday, Apr. 26.)
Exercises 6.4 (p. 561): 3, 4, 5, 7, 10 (These are due Friday, Apr. 26.)
Week 14:
You can find a class
ranking through this grades hyperlink or the one at the top of the page.
The solutions to the third
TakeHome exam are available. Your Third Exam covering Laplace transforms
(only) will be on Friday, May 3. You bring with you a table of Laplace transforms,
integral tables, and a 3x5 note card (with anything). There is a TakeHome
exam on Power Series solutions to differential equations available, which
is due on Wednesday, May 8. In addition, you need to work the following Homework
Problems:
Exercises (p. 206 of Handout): 2, 4, 5, 7 (These are due Wednesday, May 8.)