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, 5272088
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, BrooksCole, 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 50minute examinations will be given during the quarter. These
will cover the lectures and the homework.
FINAL EXAMINATION: This test is scheduled for 1011:50 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 5272090. 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 
114 
§1.1 #1,3,4,13,16,19,27,33 


Initial Value Problems 
H2 
1422 
§1.2 #3,9,15,16,18,21,24,34 


Mathematical Models 
H3 
2238 
§1.3 #3,5,9,15 


Solution Curves 
H4 
3951 
§2.1 #1abc,20 
2 
April 5 
Separable Variables 
H5 
5160 
§2.2 #7,11,19,25,35,36 


Linear Equations 
H6 
6071 
§2.3 #3,6,14,30 


Exact Equations 
H7 
7280 
§2.4 #7,9,21,27,32 


Substitutions 
H8 
8085 
§2.5 #5,8,11,17,22 
3 
April 12 
Linear Models 
H9 
95109 
§3.1 #3,12,15,25,32 


Catchup/review 





Test #1, through §3.1 





Nonlinear Models 
H10 
109120 
§3.2 #3,7,22 
4 
April 19 
Higherorder equationstheory 
H11 
138154 
§4.1 #1,2,6,9ab,11 


Continuation 
H12 

§4.1 #17,21,23,31,33,38 


Reduction of Order 
H13 
154157 
§4.2 #3,6,11,23 


Homogeneous equations 
H14 
158167 
§4.3 #7,13,25,28,38,54 
5 
April 26 
Undetermined coefficients 
H15 
178187 
§4.5 #5,8,13,17,22,23,24 


Continuation 
H16 

§4.5 #35,42,43,53,59,68 


Variation of parameters 
H17 
188193 
§4.6 #3,6,10,25 


CauchyEuler equation [O] 
H18 
193200 
§4.7 #1,5,18,22,27 
6 
May 3 
Catchup / review 





Test #2 – through §4.7 





Linear IVP's 
H19 
216237 
§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 
237247 
§5.2 #1,11,12 


Series solutions 
H22 
268280 
§6.1 #3,5,9,11,17,25 


Singular points 
H23 
280291 
§6.2 #1,8,21 


Laplace transform 
H24 
306314 
§7.1 #1,3,11,24,32,37,39,40 
8 
May 17 
Inverse transform 
H25 
314324 
§7.2 #3,6,9,12,17,21,26,35 


Translation theorems 
H26 
324338 
§7.3 #3,10,13,18,21,27,41,43,57,63 


Transforms of derivatives 
H27 
338350 
§7.4 #3,7,12,17,24,27,31,43 


Applications 
H28 
351360 
§7.5 #3,13; 7.6 # 15 
9 
May 24 
Catchup/review 





Test #3, through §7.5 





Firstorder systems 
H30 
364375 
§8.1 #1,3,6,8,11,17,25 


Homogeneous linear systems 
H31 
375393 
§8.2 #3,9,13,21,24,39 
10 
May 31 
Memorial Day 





Nonhomogeneous linear systems 
H32 
393399 
§8.3 #3,23,24 


Continuation 





Review 



11 
Tuesday, June 8 
Final Examination 10:00 – 11:50 








