Schedule of Topics, Math 302: Differential Equations

Ed Bueler, Fall 2000

Version 12/13/00

Section

Chapter 1 Introduction
§1.1 Background
§1.2 Solutions and IVPs
§1.3 Direction Fields
§1.5 Euler's Method
Chapter 2 First Order Diff Eqns
§2.1 Introduction
§2.2 Separable Equations
§2.3 Linear First Order Equations
§2.4 Exact Equations
§2.6 "Homogeneous" Eqns (only)
Chapter 3 Models and Numerical ...
§3.1 Mathematical Modeling
§3.2 "Compartmental Analysis"
Exam I: Monday, Oct. 9

Class days:

(past / future)
9/8
9/11
9/13
9/15

9/18
9/20, 9/22
9/25
9/27
9/29

10/2
10/4
 

Assignment:


A1
A1
A1
A2

A2
A2
A2, A3
A3
A4

A4
A4
 

Exam:


Exam I
I
I
I

I
I
I
I
I

I
I
 
§3.3 Heating and Cooling
§3.4 Newtonian Mechanics
§3.6 Numerical Methods
Chapter 4 Linear Second Order DEs
§4.1 Introduction: Mass-Spring Osc...
§4.2 Linear DEs
§4.3 Homogeneous Linear DEs
§4.4 Reduction of Order
§4.5 Constant Coefficient Linear
§4.6 Complex Roots
§4.7 Nonhomogeneous
§4.9 Variation of Parameters
Exam II: Monday, Nov. 13		 10/6
10/11 
10/13 

10/16 
10/18 
10/20 
10/23 
10/25 
10/30,11/1
11/3, 11/6
11/8 

 A5
A5
A5

A6
A6
A6
A7
A7
A8
A8
A8, A9
 

 Exam II
II
II

II
II
II
II
II
II
II
II
II
§4.10 Energy (only)
Chapter 5 Systems and Phase Planes
§5.2 Introduction to the Phase Plane
§5.3 Elimination Method for Systems
Chapter 6 Higher Order DEs: Skip
Chapter 7 Laplace Transform
§7.2 Definition of the Laplace Trans...
§7.3 Properties
§7.4 Inverse Laplace Transform
§7.5 Solving IVPs
§7.6 Transforms of Discontinuous ...
§7.7 Convolution
Chapter 8 Series
§8.1 Taylor Polynomial Approximation
§8.2 Power Series and Analytic Fun...
Final Exam: 
    Wednesday, Dec. 20, 1 - 3pm
    Chapman 104		 11/10

11/15
11/17 
 

11/20, 11/22
11/24, 11/27
11/29
12/1
12/4
12/6, 12/8

12/11, 12/13
12/15
 

 A9

A10
A10
 

A11
A11
A11
A12
A12
A12

A13
A13
 

 Final

F
F
 

F
F
F
F
F
F

F