Date 
Topic 
Reading Assignment 
Suggested Problems
Homework Problems are in red bold 

Tuesday, January 15 
Discuss Syllabus
Modeling via Differential Equations 
Section 1.1 

Thursday, January 17 
Analytic Technique: Separation of variables (review)
Qualitative technique: Slope Fields 
Sections 1.2 and 1.3 
Section 1.1; 4, 5, 13, 14, 15, 17, 23. 
* 
Tuesday, January 22 
Numerical technique: Euler's method 
Section 1.4 
Section 1.2; 1, 3, 5, 7, 15, 17, 23, 35.
Section 1.3; 7, 11, 13, 15, 16, 17. 
Thursday, January 24 
Quiz #1
Equilibria and the Phase Line 
Section 1.6 
Homework handouts: The Pendulum; the SIR model. 
* 
Tuesday, January 29 
Bifurcations 
Section 1.7 
Section 1.6; 2, 8, 20, 22, 23, 26, 32, 36, 37, 39. 
Thursday, January 31 
Bifurcations in applications
Introducing the Phisheries Project. 

Section 1.7; 2, 3, 4, 6, 7, 8, 13. 
* 
Tuesday, February 5 
Test #1

Thursday, February 7 
Linear Equations 
Section 1.8 
(By this point, you should have the bulk of the mathematical work done on the Phisheries Project.) 
* 
Tuesday, February 12 
Integrating Factors for Linear Equations 
Section 1.9 
Section 1.8; 2, 4, 8, 10, 17, 18, 19, 23, 31. 
Thursday, February 14 
Quiz #2
Existence and Uniqueness of Solutions 
Section 1.5 
Section 1.9; 4, 5, 6, 8, 9, 10, 20, 25. 
* 
Tuesday, February 19 
No Class Professor Schumacher is out of Town
Phisheries Project Dueturn in to Professor Milnikel before 4 p.m. 
Thursday, February 21 
Modeling via Systems 
Section 2.1 
Section 1.5; 4, 58, 10abc, 12, 14, 16. 
* 
Tuesday, February 26 
The Geometry of Systems 
Section 2.2 
Section 2.1; 1, 2, 5, 6,11, 12, 13, 16a, 20. 
Thursday, February 28 
Quiz #3
Existence and Uniqueness of Solutions for Systems 
Section 2.6 
Section 2.2; 8, 10, 11ac, 14, 15. (Use Maple instead of HPGSystemSolver. In other assignments, too!) 
Spring Break

Tuesday, March 19 
No classtoo many students gone. 

Section 2.2 (again!); 18, 19, 21cd, 26. 
Thursday, March 21 
Introduction to Linear Systems and the Linearity Principle. Linear Independence of Solutions 
Section 3.1. 

* 
Tuesday, March 26 
Linear Algebra in Diff Eqs
Introducing straight Line Solutions 
Section 3.2 
Section 3.1; 10, 12, 14, 15, 17, 18, 24, 2629, 30, 31, 33. 
Thursday, March 28 
Test # 2
covers through Section 3.1

* 
Tuesday, April 2 
Straight Line Solutions, cont.
Phase portraits and distinct, Real Eigenvalues. 
Linear Alg Handout (read make connections to book!)
Section 3.3

Section 3.2; 1, 3, 6, 8, 10, 12, 13, 16, 17, 19. 
Thursday, April 4 
Quiz #4
Complex Eigenvalues 
Section 3.4 
Section 3.3; 1, 3, 8, 12, 19, 20, 24, 27. 
* 
Tuesday, April 9 
Special Cases: Zero and Repeated Eigenvalues 
Section 3.5 
Section 3.4; 2, 6, 10, 12, 14, 15, 16, 23.

Thursday, April 11 
Finish Linear Systems
Project # 2: Shakespeare and Love 


* 
Tuesday, April 16 
The Trace Determinant Plane

Section 3.7 
Section 3.5; 4, 6, 8, 11, 13, 14, 18, 21, 23. 
Thursday, April 18 
Introducing the Bifurcations Project. 

Section 3.7; 2, 5, 9, 10. 
* 
Tuesday, April 23 
Power Series Solutions 

"Shakespeare and Love" Project Due at 7 p.m.

Thursday, April 25 
Test # 3

* 
Tuesday, April 30 
Equilibrium Point Analysis 
Section 5.1 
Handout: Power series solutions. 
Thursday, May 2 
Linearization and bifurcations 

Section 5.1: 1, 2, 3abd, 4, 8a, 11a.
Bifurcations Project Due at 3 p.m. on Friday, May 3. 

Final Examination
8:30 a.m. on Thursday, May 9, 2013 