Weekof 
Topics 
Assignments 
1/20  1/24

Section 1.1: Modeling via Differential Equations
Section 1.2: Analytic Technique: Separation of Variables

Section 1.1 #4,5,7,8,9,12,13,15,17,19,21,22
Section 1.2 #2,4,7,10,15,18,26,28,32,33,35,39
Hand in Section 1.1: 5,9,12,19,22
Section 1.2: 2, 18, 32, 33, 39
DUE: February 11th. at the start of the class

1/27  1/31

Section 1.2: Analytic Technique: Separation of Variables
Section 1.3: Qualitative Technique: Slope Fields
Section 1.4: Numerical Technique: Euler's method

Section 1.3: #1,2,3,10,12,13,14,15,16,17
Section 1.4: #2,6,7,8,10,11,13,15,18
Hand in Section 1.3: 10, 12, 14, 16, 17
Section 1.4: 6, 10, 11, 18
DUE: February 11th. at the start of the class

2/3  2/7

Section 1.5: Existence and Uniqueness of Solutions
Section 1.6: Equilibria and the Phase Line
Section 1.8: Linear Equations

Section 1.5: #1,4,6,7,9,10,13,15
Section 1.6: #5,8,17,20,23,24,30,31,35,37
Section 1.8: #1,5,7,9,15,16,19,20,22,31
Hand in Section 1.5:4,7,10,15
Section 1.6: 5, 17, 30, 37
Section 1.8: 7,9,19,20,22
Section 1.9: 1,5,11,24
DUE: February 25th. at the start of the class
No late homeworks accepted!

2/10  2/14

Section 1.9: Integrating Factors for Linear Equations
Section 1.7: Bifurcations
Section 2.1: Modeling via Systems

Section 1.9: #1,5,11,24
Section 1.7: #2,7,9,12,17,22
Section 2.1: #7,8,15,16,20,21,22,23,24
Hand in
Section 1.7:2,9,12,17,19

2/17  2/21

Section 2.2: The Geometry of Systems
Section 2.3: The Damped Harmonic Oscillator
Section 2.4: Additional Analytic Methods for Special Systems

Section 2.2: #6,7,10,11,16,19,21,22,27
Section 2.3: #4,7,9,10
Section 2.4: #1,5,7,8,9,10

2/24  2/28

Section 3.1: Properties of Linear Systems and the Linearity Principle
Section 3.2: StraightLine Solutions
Exam I

Section 3.1: #4,6,9,10,13,16,24,28,33,34
Section 3.2: #2,5,7,8,12,16,17,18,22
Tuesday, February 25th.

3/3  3/7

Section 3.3: Phase Portraits for Linear Systems with Real Eigenvalues
Section 3.4: Complex Eigenvalues

Section 3.3: #2,5,6,10,14,19,20,21
Section 3.4: #1,3,5,9,11,15,22,24
Project I(Lab 5. page 147) DUE: March 6th.

3/10  3/14

Spring Break


3/17  3/21

Section 3.5: Special Cases: Repeated and Zero Eigenvalues
Section 3.6: SecondOrder Linear Equations

Section 3.5: #3,7,13,15,16,19,21,22,24
Section 3.6:#7,10,12,29,34,36,40

3/24  3/28

Section 3.7: The TraceDeterminant Plane
Section 4.1: Forced Harmonic Oscillators
Exam II

Section 3.7: #3,9,12,14
Section 4.1: #1,8,11,16,20,27,31,34,36,42
Tuesday March 25th.

3/31  4/4

Section 4.2: Sinusoidal Forcing
Section 4.3: Undamped Forcing and Resonance

Section 4.2: #9,11,14,15,16,17,19,23
Section 4.3: #5,6,13,14,16,21,24

4/7  4/11

Section 5.1: Equilibrium Point Analysis
Section 5.2: Qualitative Analysis

Section 5.1: #1,5,6,10,17,20
Section 5.2: #111 odd and 1721 odd

4/14  4/18

Section 6.1: Laplace Transforms
Section 6.2: Discontinuous Functions

Section 6.1: #3,11,13,15,21,23,27
Section 6.2: #3,7,9,13,19

4/21  4/25

Section 6.3: SecondOrder Equations
Section 6.4: Delta Functions and Impulse Forcing
Exam III

Section 6.3: #5,18,29,31,32,33,34
Section 6.4: #1,3,5,6,7,9
April 22nd. (Tuesday)

4/28 4/29

Review


Final Exam : TBA


