Weeks 
Dates 
Sections 
Handouts 
Recommended
Homework

1

Jan 17, 19 
Section 1.1 
Introduction


Section 1.2 
Firstorder
linear differential equations

114 
Section 1.4 
Separable
equations

15, 612 (solve the given
initialvalue problem only)

2

Jan 24 
Section 1.9

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

311

Section 1.10 
The
existenceuniqueness theorem; Picard iteration

115

Jan 26 
Section 2.1

Algebraic
properties of solutions

1, 2

3

Jan 31 
Section 2.2

Linear
equations with constant coefficients

18 (part 1), 16, 8, 9 (part
2), 14, 6, 7 (part 3)

Feb 2 
Section 2.3

The
nonhomogeneous equation

13

4

Feb 7 
Section 2.4

The
method of variation of parameters

18

Feb 9 
Section 2.5

The
method of judicious guessing

116

5

Feb 14 
Section 2.8

Series
solutions

18

Feb 16 
Section 3.1

Algebraic
properties of solutions of linear systems

115

6

Feb 21 
Sections
1.1, 1.2, 1.4, 1.9, 1.10, 2.12.5, 2.8

MIDTERM
1


Feb 23

Section 3.2

Vector
spaces

112

7

Feb 28 
Section 3.3

Dimension
of a vector space

111

Mar 2

Section 3.4 
Applications
of linear algebra to differential equations

19

8

Mar 7

Section 3.5

The
theory of determinants

38, 1015

Mar 9

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

9

Mar
1318 
Spring
break 

10

Mar 21

Section 3.7

Linear
transformations

113, 1921

Mar 23

Section 3.8

The
eigenvalueeigenvector method of finding
solutions

112

11

Mar 28 
Section 3.9

Complex
roots

18

Mar 30

Section 3.10

Equal
roots

18

12

Apr 4

Section 3.11

Fundamental
matrix solutions; e^{At
} 
111

Apr
6

Sections
3.13.9 
MIDTERM 2


13

Apr 11 
Section 4.1

Introduction

18

Section 4.2

Stability
of linear systems

110

Apr 13

Section 4.4

The
phaseplane

13, 514

14

Apr 18

Section 4.7

Phase
portraits of linear systems

19

Apr 20

Section 5.1

Two
point boundaryvalue problems

19

15

Apr 25

Section 5.2

Introduction
to partial differential equations


Apr 27

Section 5.3

The
heat equation; separation of variables

17

16

May 2

Section 5.4

Fourier
series

113

May 4

Section 5.5

Even
and odd functions

111

Section 5.6

Return
to the heat equation

1,2

17

May
11 (Thu) 9:0012:00 noon

Cumulative

FINAL EXAM

