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 Due---turn in to Professor Milnikel before 4 p.m. |
| Thursday, February 21 |
Modeling via Systems |
Section 2.1 |
Section 1.5; 4, 5-8, 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 class---too 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, 26-29, 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 |