Weeks 
Dates 
Sections 
Handouts 
Recommended
Homework

1 
June 8

Section 1.1 
Introduction


Section 1.2 
Firstorder
linear differential equations

116 S1 S2

2 
June 11, 13, 15 
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 
Section 1.10 
The existenceuniqueness
theorem; Picard iteration

13, 415 S1
S2

3

June 18, 20, 22

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

Section 2.3 
The nonhomogeneous equation 
13 S 
Section 2.4 
The method of variation of parameters 
18 S 
4

June 25, 27, 29

Section 2.5

The method of judicious
guessing

116 S1
S2

Section 2.8

Series solutions

Page 197: 18; Page 203: 18 S1
S2

5

July
2

Section 3.1

Algebraic
properties of solutions of linear systems

115 S1
S2

July 6

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

6

July 9, 11,
13 
Section 3.2 
Vector
spaces 
112 S 
Section 3.3

Dimension of a vector space

111 S1
S2

Section 3.4 
Applications of linear algebra to differential equations

19 S

7

July 16, 18,
20 
Section 3.5

The theory of determinants

38, 1015 S

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

Section 3.7

Linear transformations

113, 1921 S

8

July 23,
25, 27

Section 3.8

The
eigenvalueeigenvector method of finding
solutions

112 S

Section 3.9

Complex roots

18 S

Section 3.10

Equal roots

18 S

Section 3.11

Fundamental matrix solutions; e^{At
} 
110 S

9

July
30

Sections
3.13.10 
MIDTERM 2


Aug 1, 3 
Section 4.1

Introduction

18

Section 4.2 
Stability of linear systems 
110 
Section 4.4 
The
phaseplane 
13, 514 
10

Aug 6, 8, 10 
Section 4.7 
Phase portraits of linear
systems 
19 
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 
11

Aug 13, 15, 17

Section 5.4

Fourier
series 
113 
Section 5.5 
Even and odd functions 
111

Section 5.6

Return to the heat equation

1, 2

12

Aug
18 (Sat) 9:00am12:00pm

Cumulative

FINAL EXAM


