Weeks 
Dates 
Sections 
Handouts 
Recommended
Homework

1

Aug 29, 31 
Section 1.1 
Introduction


Section 1.2 
Firstorder
linear differential equations

116 S1 S2

2

Sep 5, 7

Section 1.4 
Separable
equations

15, 612 (solve the given
initialvalue problem only) S1 S2 
Section 1.9

Exact
equations, and why we cannot solve very many
differential equations

311 S1 S2 
3

Sep 10, 12, 14

Section 1.10 
The existenceuniqueness
theorem; Picard iteration

13, 415 S1 S2

Section 2.1

Algebraic properties of
solutions

17 S1 S2

Section 2.2

Linear
equations with constant coefficients

Page 140: 18; Page 144: 16, 8,
9; Page 149: 14, 6, 7 S1 S2

4

Sep 17, 19, 21

Section 2.3 
The nonhomogeneous equation 
13 S 
Section 2.4 
The method of variation of
parameters 
18 S 
5

Sep 24, 26, 28

Section 2.5

The method of judicious
guessing

116 S1 S2

Section 2.8

Series
solutions

Page 197: 18; Page 203: 18 S1 S2

6

Oct 1, 3

Section 3.1

Algebraic
properties of solutions of linear systems

115 S1 S2

Oct 5

Sections
1.1, 1.2, 1.4, 1.9, 1.10, 2.12.5, 2.8 
MIDTERM 1 

7

Oct 8, 10, 12

Section 3.2 
Vector
spaces 
112 S 
Section 3.3

Dimension of a vector space

111 S1 S2

8

Oct 15, 17, 19

Section 3.4 
Applications
of linear algebra to differential equations

19 S

Section 3.5

The theory of determinants

38, 1015 S

9

Oct 22, 24, 26

Section 3.6 
Solutions of
simultaneous linear equations 
14, 914, 1720 S

Section 3.7

Linear transformations

113, 1921 S

10

Oct 29, 31, Nov 2

Section 3.8

The
eigenvalueeigenvector method of finding
solutions

112 S

Section 3.9

Complex
roots

18 S

11

Nov 5, 7, 9

Section 3.10

Equal roots

18 S

Section 3.11

Fundamental matrix solutions; e^{At
} 
110 S

12

Nov 12, 14

Section 4.1

Introduction

18

Section 4.2 
Stability of linear systems 
110 
Section 4.4 
The
phaseplane 
13, 514 
Nov
16 
Sections
3.13.11 
MIDTERM
2 

13

Nov 19

Section 4.7 
Phase portraits of linear
systems 
19 
14

Nov 26, 28, 30

Section 5.1

Two point boundaryvalue
problems 
19 S

Section 5.2 
Introduction
to partial differential equations 

Section 5.3 
The heat
equation; separation of variables 
17 S 
15

Dec 3, 5, 7 
Section 5.4

Fourier series 
113 
16

Dec 10 
Section 5.5 
Even and odd functions 
111

Section 5.6

Return to the heat equation

1, 2

17

Dec 14 (Fri)
7:0010:00pm
MWF 4:005:00pm
group (54040) 
Cumulative

FINAL EXAM


Dec 18 (Tue)
2:005:00pm
MWF 3:004:00pm
group (54035) 
