| Week 1 |
W Aug 27 |
(1.1) Introduction to Differential Equations and Modeling
|
|
F Aug 29 |
(1.2) Separation of Variables |
| Week 2 |
M Sep 1
|
Labor Day Holiday (No Classes)
|
|
W Sep 3
|
(1.2) Slope Fields
|
|
F Sep 5
|
(1.3) Euler's Method
|
| Week 3 |
M Sep 8
|
(1.5) Existence and Uniqueness Theorem |
| |
W Sep 10
|
(1.6) Phase Lines and Equilibria |
|
F Sep 12
|
(1.6) Phase Lines and Equilibria, continued
|
| Week 4 |
M Sep 15
|
(1.7) Bifurcations |
| |
W Sep 17
|
(1.7) Bifurcations, continued
|
| |
F Sep 19
|
(1.8) Linear Equations
|
| Week 5 |
M Sep 22 |
(1.9) Integrating Factors |
|
W Sep 24 |
(2.1) Mathematical modeling using systems |
| |
F Sep 26 |
(2.2) The Geometry of Systems
|
Week 6
|
M Sep 29 |
(2.2) The Geometry of Systems, continued |
| |
W Oct 1 |
(2.4) The Geometry of Systems |
|
F Oct 3
|
(2.5) Euler's Method for Systems |
Week 7
|
M Oct 6
|
EXAM 1 REVIEW |
| |
W Oct 8
|
EXAM 1 |
| |
F Oct 10 |
(Class cancelled) |
Week 8
|
Oct 13-14 |
Fall Break (No Classes) |
|
W Oct 15 |
(3.1) Properties of Linear Systems |
|
F Oct 17 |
(3.2) Straight Line Solutions |
Week 9
|
M Oct 20
|
(3.3) Phase Portraits for Systems with Real Eigenvalues |
| |
W Oct 22 |
(3.4) Phase Portraits for Systems with Complex Eigenvalues |
|
F Oct 24 |
(3.5) Phase Portraits for Systems with Repeated or Zero Eigenvalues
|
Week 10
|
M Oct 27 |
(3.6) Second Order Linear Equations |
| |
W Oct 29 |
(3.7) Trace-Determinant Plane |
| |
F Oct 31
|
(5.1) Equilibrium Point Analysis
|
| Week 11 |
M Nov 3
|
(5.3, 5.4) Hamiltonian Systems, Dissipative Systems |
| |
W Nov 5
|
(6.1) Laplace Transforms |
| |
F Nov 7
|
(6.2) Laplace Transforms for Discontinuous Functions |
| Week 12 |
M Nov 10
|
(6.3) Applications of Laplace Transforms to 2nd Order Linear Equations
|
|
W Nov 12
|
(6.4) Delta Function and Impulse Forcing |
| |
F Nov 14
|
(6.5) Introduction to Convolutions |
| Week 13 |
M Nov 17
|
(7.1) Introduction to Convolutions |
| |
W Nov 19
|
EXAM 2 REVIEW |
|
F Nov 21
|
EXAM 2
|
| Week 14 |
M Nov 24 |
Project Presentations
|
|
M Nov 26 |
Thanksgiving Break (No Classes) |
| |
W Nov 28 |
Thanksgiving Break (No Classes) |
| Week 15 |
M Dec 1 |
Project Presentations |
|
W Dec 3
|
Project Presentations |
| |
|
|
| Final Exam |
Thu Dec 11
|
630-930pm in Fowler 307 |
