Weeks 
Dates 
Sections 
Handouts 
Recommended
Homework

1

Jan 16, 18

Section 1.1 
Introduction


Section 1.2 
Firstorder
linear differential equations

116 S

Section 1.4 
Separable equations

15, 612 (solve the given
initialvalue problem only) S 
2

Jan 23, 25

Section 1.9

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

311 S 
Section 1.10 
The existenceuniqueness
theorem; Picard iteration

115 S 
3

Jan 30, Feb 1 
Section 2.1

Algebraic properties of
solutions

17 S 
Section 2.2

Linear
equations with constant coefficients

Page 140: 18; Page 144: 16, 8,
9; Page 149: 14, 6, 7 S 
Section 2.3 
The nonhomogeneous equation 
13 S 
4

Feb 6, 8 
Section 2.4

The method of variation of
parameters

18 S 
Section 2.5

The method of judicious
guessing

116 S 
5

Feb 13, 15

Section 2.8

Series
solutions

Page 197: 18; Page 203: 18 S 
Section 3.1

Algebraic
properties of solutions of linear systems

115 S 
6

Feb
20

Section 3.2

Vector
spaces

112 S

Feb 22 
Sections
1.1, 1.2, 1.4, 1.9, 1.10, 2.12.5, 2.8 
MIDTERM 1 

7

Feb 27, Mar 1 
Section 3.3

Dimension of a vector space

111 S

Section 3.4 
Applications
of linear algebra to differential equations

19 S

8

Mar 6, 8 
Section 3.5

The theory of determinants

38, 1015 S

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

9

Mar 1217 
Spring
break 
10

Mar 20, 22 
Section 3.7

Linear transformations

113, 1921 S

Section 3.8

The eigenvalueeigenvector method of
finding solutions

112 S

11

Mar 27, 29 
Section 3.9

Complex
roots

18 S

Section 3.10

Equal roots

18 S

12

Apr
3

Section 3.11

Fundamental matrix solutions; e^{At
} 
111 S

Apr 5

Sections
3.13.7 
MIDTERM 2


13

Apr 10, 12 
Section 4.1

Introduction

18

Section 4.2 
Stability of linear systems 
110 
Section 4.4 
The
phaseplane 
13, 514 
14

Apr 17, 19 
Section 4.7 
Phase portraits of linear
systems 
19 
Section 5.1

Two point boundaryvalue problems 
19

15

Apr 24, 26 
Section 5.2 
Introduction to partial differential equations 

Section 5.3

The heat equation; separation of variables 
17

16

May 1, 3 
Section 5.4

Fourier series 
113 
Section 5.5 
Even and odd functions 
111

Section 5.6

Return to the heat equation

1, 2

17

May 14 (Mon) 2:005:00pm
TTH 2:003:30pm group (53895)

Cumulative

FINAL EXAM


May
15 (Tue) 2:005:00pm
TTH 8:009:30am group (53865) 