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Mathematics 3113-001 - Introduction to Ordinary Differential Equations - Fall 2003

Class Schedule and Homework Assignments

Class Date   Day   Topic Problems
1 Aug 26 Tue  1.1 

 1.2 
Differential equations
and solutions
General and
particular solutions
1.1 #

1.2 #
3,6,13-15,20,
22,26,28-29
5,7-8,10-11,15,
19-22,25,30,35
2 Aug 28 Thu 1.3 Slope fields, existence
and uniqueness
1.3 # 1,3,11-15,27-29
3 Sep 2 Tue 1.4 Separable equations 1.4 # 3,5,17,21,24,
28,34,42,54,61
4 Sep 4 Thu 1.5 First-order
linear equations
1.5 # 3,7,17,24,29,33,37
5 Sep 9 Tue 1.6 Substitutions 1.6 # 3,7,9,18-21,29,44,
45,49,52,56-60
6 Sep 11 Thu 3.1 Second-order
linear equations
3.1 # 1,4,9,17-19,23-25,
29,33,36,38-39,43-48
7 Sep 16 Tue 3.2 Linear equations 3.2 # 2,3,5-9,14,18,22-24
8 Sep 18 Thu   continue    
   Sep 23* Tue   Exam I
9 Sep 25 Thu 3.3 Homogeneous
equations
3.3 # 6-8,10-11,18-19,
23,25,33,35,39-42
10 Sep 30 Tue 3.4 Vibrations 3.4 # 5-8,13-18
11 Oct 2 Thu 3.5 Nonhomogeneous
equations
3.5 # 5,7,9,17,21-24,
32-33,47,51
12 Oct 7 Tue 3.8 Boundary-value
problems
3.8 # 2-4,7-9,13
13 Oct 9 Thu   continue    
14 Oct 14 Tue 4.1 First-order systems 4.1 # 1,4,10-13,16-17,21-22
15 Oct 16 Thu 4.2 The Method of
Elimination
4.2 # 1,3,7,13,21-22
16 Oct 21 Tue   continue    
   Oct 23* Thu  Exam II
17 Oct 28 Tue 7.1 Laplace transforms 7.1 # 1-4,7-9,11,14-18,
20,23,25-29
18 Oct 30 Thu 7.2 Initial value problems 7.2 # 2-3,5-6,11-13,
17,19,21,28-31
  Oct 31 Fri  
 
Last day to withdraw without permission of Dean
19 Nov 4 Tue 7.3 Partial fractions 7.3 # 2-3,6-7,11,15,27,30-32
20 Nov 6 Thu 7.4 Calculus of
Laplace transforms
7.4 # 2-3,5-7,9,15-16,19-20,
23,25-26,33,36-37
21 Nov 11 Tue 7.5 Periodic and piecewise-
continuous functions
7.5 # 1-3,7,11-14,19-20,
25-27,31-33
22 Nov 13 Thu 7.6 Impulses and
delta functions
7.6 # 1,4-6,9-11,13,14
23 Nov 18 Tue   continue    
   Nov 20* Thu  Exam III
24 Dec 2 Tue 8.1 Power series methods 8.1 # 2-4,9,12-13,15,17,19
25 Dec 4 Thu 8.2 Ordinary points 8.2 # 1,3,12,16,23,25
26 Dec 9 Tue 8.3 Regular
singular points
8.3 # 2-6,9,12,14,17-19,38
27 Dec 11 Thu   continue    
  Dec 15 Mon   Final Exam   (1:30 -- 3:30 p. m.)

* Homework notebooks due.

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