| Week |
Date
|
Section |
Topics |
Homework
(Note: only
turn in the even numbered
problems).
|
| 1 |
Aug.
25
|
1.1, 1.2, 1.3
|
Modeling with Differential
Equations, Separation of
Variables, Slope Fields
|
§1.1 #1, 3, 5, 7, 8, 15, 16
§1.2 # 1, 2, 4, 5-15, 23-28
§1.3 # 1, 3, 7, 9, 10, 13, 14, 15, 17
|
| 2 |
Sept.
1
|
1.4, 1.5, 1.6
|
Euler's Method, Existence and
Uniqueness of Solutions,
Eqilibria and the Phase Line
|
§1.4 # 1, 2, 5
§1.5 # 1, 2, 3, 7, 12
§1.6 # 1-7, 9, 11, 13-19, 21, 23, 24, 27, 30, 33, 37, 39 |
| 3 |
Sept.
8
|
1.7, 1.8
|
Bifurcations, Linear Equations
|
§1.7 # 1, 2, 3, 5, 6, 11, 13,
23
§1.8 # 1, 2, 3, 5, 9, 11, 15, 21
|
| 4 |
Sept.
15
|
1.9, 2.1
|
Integrating Factors, Modeling with
Systems of Differential
Equations
|
§1.9 # 1, 2, 3, 7, 9, 13, 15,
21
§2.1 # 1-7, 9, 10, 11, 19
|
5
|
Sept.
22
|
2.2, 2.3
|
Geometry of
Systems, Analytic
Methods for Solving Some Systems
|
§2.2 # 1,
2, 4, 7, 11, 13, 19, 21, 23
§2.3 # 1, 2, 7, 9, 12, 16
|
| 6 |
Sept.
29
|
2.4, 2.5, 3.1
|
Euler's Method for Systems, Lorenz
Equations, Linear Systems, Linearity Principle
|
§2.4 # 1abd (only do up to t =
4), 2ab (only do up to t = 4), 5
§2.5 # 1, 2, 4
§3.1 # 5, 7, 8, 10, 16, 19, 26 |
| 7 |
Oct.
6
|
3.2, 3.3 |
Straight-Line Solutions, Phase
Planes for Linear Systems
with Real
Eigenvalues |
§3.2 # 1, 2, 9, 14, 16, 22
§3.3 # 1, 2, 7, 12, 14, 19, 20 |
| 8 |
Oct.
13
|
3.4, 3.5 |
Phase Planes for Linear Systems
with Complex
Eigenvalues, Repeated and Zero Eigenvalues
|
§3.4 # 2, 3, 4, 5, 9, 10, 11,
15, 23
§3.5 # 1, 2, 3, 5, 6, 7, 18
|
9
|
Oct.
20
|
3.6 |
Second-Order
Linear Systems
|
§3.6 #
1,
3, 5, 7, 10, 15, 18, 23, 26
|
| 10 |
Oct.
27
|
5.1, 5.2
|
Nonlinear Systems, Equilibrium
Point Analysis, Qualitative
Analysis |
§5.1 # 1, 4, 5, 7, 9, 13, 17,
18, 19, 22
§5.2 # 1, 2, 3, 5
|
| 11 |
Nov.
3
|
4.1, 4.2 |
Forced Harmonic Oscillators,
Sinusoidal Forcing
|
§4.1 # 1, 2, 4, 5, 6, 7, 9,
12, 20, 21
§4.2 # 1, 2, 3, 7, 12, 13, 17
|
| 12 |
Nov.
10
|
4.3, 6.1
|
Undamped Forcing and Resonance,
Laplace Transforms
|
§4.3 # 1, 2, 9, 13, 15, 21
§6.1 # 1, 2, 3, 5, 6, 7, 8, 9, 13, 15, 16, 19, 23, 25
|
| 13 |
Nov.
17
|
6.2, 6.3
|
Discontinuous
Functions,
Second-Order Equations
|
§6.2 # 1, 2, 4, 5, 9, 11, 13
§6.3 # 11, 13, 15, 17, 27, 28, 29, 30, 31
|
| 14 |
Nov.
24
|
6.4
|
Delta
Functions and Impulse Forcing
|
§6.4 # 3 |
| 15 |
Dec.
1
|
Final
|
Comprehensive
|
|