MATH 312 Ordinary Differential Equations, Spring, 2004
BULLETIN DESCRIPTION: Study of solutions of first order differential
equations, solutions of linear differential equations of order n, linear
systems, and series solutions. Prerequisite: MATH 283
INSTRUCTOR: Dr. Kenneth L. Wiggins, 338 KRH, 527-2088
OFFICE HOURS: 2 TuWTh, 3 M, 11 F, Other Office hours by appointment
OBJECTIVES: After finishing this course, students should be able
to organize and effectively communicate ideas involving each of the following:
TEXT: A First Course in Differential Equations with Modeling Applications,
7th edition, by Dennis G. Zill, Brooks-Cole, 2001
ASSESSMENT: All assessment will be based on both correctness and
quality including the quality of your presentation.
|
|
HOMEWORK: The surest way to succeed in MATH 312 is to study each
day. To aid you in your study, homework problems will be assigned each day.
Most of these will be collected and graded. Be sure to show your work neatly on these papers and to
complete your work on time.
Homework papers are due the day after they are assigned but they may be
turned in the next day at the beginning of class without penalty. Papers later than that will not be
accepted.
QUIZZES: Occasionally quizzes may be given over the lectures and homework.
TESTS: Three 50-minute examinations will be given during the quarter. These
will cover the lectures and the homework.
FINAL EXAMINATION: This test is scheduled for 10-11:50 a.m., Tuesday,
June 8. Attendance is required, so make your travel plans early with this
appointment in mind.
CLASS ATTENDANCE: Students are expected to attend all classes. In
addition, students are expected to give their full attention to the class
discussions. Modifications in the homework assignments or test schedule may be
announced in class.
DISABILITIES: If you have a physical and/or learning disability and
require accommodations, please contact your instructor or the Special Services
office at 527-2090. This syllabus is available in alternative print formats
upon request. Please ask your instructor.
|
Week |
Date |
Topic |
Assmt # |
Pages to Read |
Exercises to Work |
|
1 |
March 29 |
Terminology |
H1 |
1-14 |
§1.1 #1,3,4,13,16,19,27,33 |
|
|
|
Initial Value Problems |
H2 |
14-22 |
§1.2 #3,9,15,16,18,21,24,34 |
|
|
|
Mathematical Models |
H3 |
22-38 |
§1.3 #3,5,9,15 |
|
|
|
Solution Curves |
H4 |
39-51 |
§2.1 #1abc,20 |
|
2 |
April 5 |
Separable Variables |
H5 |
51-60 |
§2.2 #7,11,19,25,35,36 |
|
|
|
Linear Equations |
H6 |
60-71 |
§2.3 #3,6,14,30 |
|
|
|
Exact Equations |
H7 |
72-80 |
§2.4 #7,9,21,27,32 |
|
|
|
Substitutions |
H8 |
80-85 |
§2.5 #5,8,11,17,22 |
|
3 |
April 12 |
Linear Models |
H9 |
95-109 |
§3.1 #3,12,15,25,32 |
|
|
|
Catch-up/review |
|
|
|
|
|
|
Test #1, through §3.1 |
|
|
|
|
|
|
Nonlinear Models |
H10 |
109-120 |
§3.2 #3,7,22 |
|
4 |
April 19 |
Higher-order equations-theory |
H11 |
138-154 |
§4.1 #1,2,6,9ab,11 |
|
|
|
Continuation |
H12 |
|
§4.1 #17,21,23,31,33,38 |
|
|
|
Reduction of Order |
H13 |
154-157 |
§4.2 #3,6,11,23 |
|
|
|
Homogeneous equations |
H14 |
158-167 |
§4.3 #7,13,25,28,38,54 |
|
5 |
April 26 |
Undetermined coefficients |
H15 |
178-187 |
§4.5 #5,8,13,17,22,23,24 |
|
|
|
Continuation |
H16 |
|
§4.5 #35,42,43,53,59,68 |
|
|
|
Variation of parameters |
H17 |
188-193 |
§4.6 #3,6,10,25 |
|
|
|
Cauchy-Euler equation [O] |
H18 |
193-200 |
§4.7 #1,5,18,22,27 |
|
6 |
May 3 |
Catch-up / review |
|
|
|
|
|
|
Test #2 – through §4.7 |
|
|
|
|
|
|
Linear IVP's |
H19 |
216-237 |
§5.1 #2,3,6,17,18,20 |
|
|
|
Continuation |
H20 |
|
§5.1 #22,29,33,46 (Maple ok) |
|
7 |
May 10 |
Linear BVP's |
H21 |
237-247 |
§5.2 #1,11,12 |
|
|
|
Series solutions |
H22 |
268-280 |
§6.1 #3,5,9,11,17,25 |
|
|
|
Singular points |
H23 |
280-291 |
§6.2 #1,8,21 |
|
|
|
Laplace transform |
H24 |
306-314 |
§7.1 #1,3,11,24,32,37,39,40 |
|
8 |
May 17 |
Inverse transform |
H25 |
314-324 |
§7.2 #3,6,9,12,17,21,26,35 |
|
|
|
Translation theorems |
H26 |
324-338 |
§7.3 #3,10,13,18,21,27,41,43,57,63 |
|
|
|
Transforms of derivatives |
H27 |
338-350 |
§7.4 #3,7,12,17,24,27,31,43 |
|
|
|
Applications |
H28 |
351-360 |
§7.5 #3,13; 7.6 # 15 |
|
9 |
May 24 |
Catch-up/review |
|
|
|
|
|
|
Test #3, through §7.5 |
|
|
|
|
|
|
First-order systems |
H30 |
364-375 |
§8.1 #1,3,6,8,11,17,25 |
|
|
|
Homogeneous linear systems |
H31 |
375-393 |
§8.2 #3,9,13,21,24,39 |
|
10 |
May 31 |
Memorial Day |
|
|
|
|
|
|
Nonhomogeneous linear systems |
H32 |
393-399 |
§8.3 #3,23,24 |
|
|
|
Continuation |
|
|
|
|
|
|
Review |
|
|
|
|
11 |
Tuesday, June 8 |
Final Examination 10:00 – 11:50 |
|
|
|
|
|
|
|
|
|
|