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Introduction to Ordinary Differential Equations
Introduction to Ordinary Differential Equations
Tentative Course Outline
Week  Section  Recommended HW 
1  Introduction  Handout 
1.1 Basic Definitions and Terminology  Page 10:odd 1–33  
1.2 Initial Value Problems  Page 16:odd 1–37  
2  MLK Day  No class 
2.2 Separable Variables  Page 54:odd 1–99  
2.3 Linear Equations  Page 65:odd 1–37  
3  2.4 Exact Equations  Page 73:odd 1–39 
2.5 Solutions by Substitutions  Page 78:odd 1–35  
4  1.3, 3.1, 3.2 Mathematical Models  Page 98:odd 1–41 
5  TEST #1  Sections 1.1–3.2 
4.1 Linear Differential Equations: Basic Theory  Page 137:odd 1–41  
6  4.2 Reduction of Order  Page 141:odd 1–19 
4.3 Homogeneous Linear Equations with Constant Coefficients  Page 147:odd 1–41  
7  4.4 Undetermined Coefficients  Superposition Approach  Page 176:odd 1–41 
4.5 Undetermined Coefficients  Annihilator Approach  Page 166:odd 1–71  
8  4.6 Variation of Parameters  Page 172:odd 1–25 
4.7 CauchyEuler Equation  Page 178:odd 1–37  
5.1 Linear Models: Initial Value Problems  Page 207:odd 1–41  
9  5.2 Linear Models: Boundary Value Problems  Page 217:odd 1–19 
Appendix 2: Introduction to Matrices  Page APP18:odd 1–61  
10  Spring Break  No classes 
11  8.1 Preliminary Theory  Page 336:odd 1–25 
8.2 Homogeneous Linear Systems  Page 351:odd 1–45  
12  TEST #2  4.1–4.7, 5.1–5.2, 8.1–8.2 
7.1 Definition of the Laplace Transform  Page 283:odd 1–39  
13  7.2 Inverse Transforms and Transforms of the Derivative  Page 322: odd 1–41 
7.3 Operational Properties I  Page 301:odd 1–73  
7.4 Operational Properties II  Page 312:odd 1–49  
14  7.2–7.4 More Practice  
7.5 The Dirac Delta Function  Page 354:odd 1–15  
15  Review of Power Series  
6.1 Solutions about Ordinary Points  Page 248:odd 1–33  
6.2 Solutions about Singular Points  Page 257:odd 1–23  
17  COMPREHENSIVE FINAL EXAMINATION 
Course Policy
1. You must be on the class roster by January 26, 2009 to
participate in any way (attend class,
submit homework, take quizzes, take tests).
2. Attendance is required by University rules . If you have
to miss a class, you are responsible
for any missed class notes, or assignments.
3. Students are expected to comport themselves as adults,
and to follow all University Rules,
Regulations and Policies, including those on discipline, academic honesty, and
harassment.
Disruptions, including inappropriate language, are unacceptable. Cell phones and
beepers
should be turned off during class.
4. The prerequisite for this course is a grade of C or
better in 3450:223 Analytic Geometry –
Calculus III, or the equivalent . Students who do not meet the prerequisite are
liable to be
withdrawn from the course.
5. Important Dates :
January 12, 2009 – classes begin
January 19, 2009 – Martin Luther King Day, no classes
January 26, 2009 – last day to withdraw without advisor’ s signature
March 6, 2009 – last day to withdraw without instructor’s signature
March 14 – March 20, 2009 – Spring Break, no classes
April 10, 2009 (5:00pm) – last day to withdraw from courses
May 1, 2009 – last day of class
May 4, 2009 – Final Examination 8:00–9:55am, room to be announced
6. Incompletes will only be given in documentable cases of
long term illness , or similar problems.
In addition, at least half of the semester’s work must have been completed, with
at
least an average grade of C. College policy also states that a student may not
sit in on the
course the next semester to make up the incomplete, but only to make up the
missed work.
7. There is a recommended list of homework problems given
for each section. You should do as
many as necessary to gain mastery of the material. These homeworks will not be
collected.
There will be additional homeworks assigned, and collected, usually on
Wednesday. Each
homework question will be graded out of 5 points. No late homework will be
accepted.
All work submitted must be your own. Neatness and and other communication
skills, including spelling, count. Some homeworks will be dropped to compute
your final
score. There may also be quizzes given.
8. If you are going to miss a test (which will be
announced approximately one week in advance),
you must have a valid, documentable excuse and notify me in advance, or as soon
as
reasonable afterward. The makeup will be as soon as possible, generally within
a week of the
original test date.
9. Final grades will be determined from 450 points, broken
down as follows : 2 exams @ 100
points each, homework/quizzes @ 100 points, comprehensive final exam @ 150
points.
The final scale used will be no higher than A 90100%, B
8090%, C 7080%, D 6070%, F
060%. Plus and minus grades will be given at my discretion.
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