Weeks 
Dates 
Sections 
Handouts 
Recommended
Homework

1

Aug 30, Sep 1

Section 1.1 
Introduction


Section 1.2 
Firstorder
linear differential equations

116 
Section 1.4 
Separable
equations

15, 612 (solve the given
initialvalue problem only)

2

Sep 6, 8 
Section 1.9

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

311

Section 1.10 
The
existenceuniqueness theorem; Picard iteration

115

3

Sep 11, 13, 15 
Section 2.1

Algebraic
properties of solutions

17

Section 2.2

Linear
equations with constant coefficients

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

Section 2.3 
The
nonhomogeneous equation 
13

4

Sep 18, 20,
22 
Section 2.4

The
method of variation of parameters

18

Section 2.5

The
method of judicious guessing

116

5

Sep 25, 27,
29

Section 2.8

Series
solutions

Page 197: 18; Page 203: 18

Section 3.1

Algebraic
properties of solutions of linear systems

115

6

Oct 2

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

MIDTERM
1


Oct
4, 6

Section 3.2

Vector
spaces

112

7

Oct 9, 11, 13

Section 3.3

Dimension
of a vector space

111

Section 3.4 
Applications
of linear algebra to differential equations

19

8

Oct
16, 18, 20

Section 3.5

The
theory of determinants

38, 1015

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

9

Oct 23,
25, 27

Section 3.7

Linear
transformations

113, 1921

Section 3.8

The
eigenvalueeigenvector method of finding
solutions

112

10

Oct 30,
Nov 1, 3

Section 3.9

Complex
roots

18

Section 3.10

Equal
roots

18

11

Nov
6, 8

Section 3.11

Fundamental
matrix solutions; e^{At
} 
111

Nov
10

Sections
3.13.10 
MIDTERM 2


12

Nov 13,
15, 17 
Section 4.1

Introduction

18

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

Nov 20 
Section 4.7 
Phase
portraits of linear systems 
19 
Nov
2225 
Thanksgiving
holidays 

14

Nov 27,
29, Dec 1 
Section 5.1

Two
point boundaryvalue problems 
19

Section 5.2 
Introduction
to partial differential equations 

Section 5.3

The
heat equation; separation of variables 
17

15

Dec 4, 6,
8 
Section 5.4

Fourier
series 
113 
Section 5.5 
Even
and odd functions 
111

16

Dec 11

Section 5.6

Return
to the heat equation

1, 2

17

Dec
14 (Thu) 7:0010:00pm
MWF 3:004:00pm group (54165)

Cumulative

FINAL EXAM


Dec
18 (Mon) 7:0010:00pm
MWF 1:002:00pm group (54155) 
