MATH 312 Ordinary Differential Equations, Autumn, 2002
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.
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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. Late papers will be discounted
at the rate of 20% per day.
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 8-9:50 a.m., Monday,
December 16. 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 |
September 30 |
Terminology |
H1 |
1-14 |
§1.1 #1,3,4,13,16,19,27,33 |
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Initial Value Problems |
H2 |
14-22 |
§1.2 #3,9,15,16,18,21,24,34 |
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Mathematical Models |
H3 |
22-38 |
§1.3 #3,5,9,15 |
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Solution Curves |
H4 |
39-51 |
§2.1 #1abc,20 |
2 |
October 7 |
Separable Variables |
H5 |
51-60 |
§2.2 #7,11,19,25,35,36 |
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Linear Equations |
H6 |
60-71 |
§2.3 #3,6,14,30 |
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Exact Equations |
H7 |
72-80 |
§2.4 #7,9,21,27,32 |
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Substitutions |
H8 |
80-85 |
§2.5 #5,8,11,17,22 |
3 |
October 14 |
Linear Models |
H9 |
95-109 |
§3.1 #3,12,15,25,32 |
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Catch-up/review |
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Test #1, through §3.1 |
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Nonlinear Models |
H10 |
109-120 |
§3.2 #3,7,22 |
4 |
October 21 |
Higher-order equations-theory |
H11 |
138-154 |
§4.1 #1,2,6,9ab,11 |
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Continuation |
H12 |
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§4.1 #17,21,23,31,33,38 |
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Service Day – no classes |
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Reduction of Order |
H13 |
154-157 |
§4.2 #3,6,11,23 |
5 |
October 28 |
Homogeneous equations |
H14 |
158-167 |
§4.3 #7,13,25,28,38,54 |
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Undetermined coefficients |
H15 |
178-187 |
§4.5 #5,8,13,17,22,23,24 |
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Continuation |
H16 |
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§4.5 #35,42,43,53,59,68 |
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Variation of parameters |
H17 |
188-193 |
§4.6 #3,6,10,25 |
6 |
November 4 |
Cauchy-Euler equation [O] |
H18 |
193-200 |
§4.7 #1,5,18,22,27 |
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Catch-up / review |
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Test #2 – through §4.7 |
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Linear IVP's |
H19 |
216-237 |
§5.1 #2,3,6,17,18,20 |
7 |
November 11 |
Continuation |
H20 |
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§5.1 #22,29,33,46 (Maple ok) |
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Linear BVP's |
H21 |
237-247 |
§5.2 #1,11,12 |
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Series solutions |
H22 |
268-280 |
§6.1 #3,5,9,11,17,25 |
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Singular points |
H23 |
280-291 |
§6.2 #1,8,21 |
8 |
November 18 |
Laplace transform |
H24 |
306-314 |
§7.1 #1,3,11,24,32,37,39,40 |
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Inverse transform |
H25 |
314-324 |
§7.2 #3,6,9,12,17,21,26,35 |
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Translation theorems |
H26 |
324-338 |
§7.3 #3,10,13,18,21,27,41,43,57,63 |
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Transforms of derivatives |
H27 |
338-350 |
§7.4 #3,7,12,17,24,27,31,43 |
9 |
November
25 |
Thanksgiving vacation |
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10 |
December 2 |
Applications |
H28 |
351-360 |
§7.5 #3,13; 7.6 # 15 |
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Catch-up/review |
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Test #3, through §7.5 |
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First-order systems |
H30 |
364-375 |
§8.1 #1,3,6,8,11,17,25 |
11 |
December 9 |
Homogeneous linear sytems |
H31 |
375-393 |
§8.2 #3,9,13,21,24,39 |
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Nonhomogeneous linear sytems |
H32 |
393-399 |
§8.3 #3,23,24 |
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Continuation |
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Review |
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12 |
Monday, Dec 16 |
Final Examination 8:00 – 9:50 |
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