| Week 1 |
W Aug 26 |
(1.1) Introduction to Differential Equations and Modeling
|
|
F Aug 28 |
(1.2) Separation of Variables |
| Week 2 |
M Aug 31
|
(1.2) Slope Fields |
|
W Sep 02
|
(1.3) Euler's Method
|
|
F Sep 04
|
(1.5) Existence and Uniqueness Theorem |
| Week 3 |
M Sep 07
|
Labor Day Holiday (No Classes) |
| |
W Sep 09
|
(1.6) Phase Lines and Equilibria |
|
F Sep 11
|
(1.6) Phase Lines and Equilibria, continued
|
| Week 4 |
M Sep 14
|
(1.7) Bifurcations |
| |
W Sep 16
|
(1.7) Bifurcations, continued
|
| |
F Sep 18
|
(1.8) Linear Equations
|
| Week 5 |
M Sep 21 |
(1.9) Integrating Factors |
|
W Sep 23 |
(2.1) Mathematical modeling using systems |
| |
F Sep 25 |
(2.2) The Geometry of Systems
|
Week 6
|
M Sep 28 |
(2.2) The Geometry of Systems, continued |
| |
W Sep 30
|
(2.4) The Geometry of Systems |
|
F Oct 02
|
(2.5) Euler's Method for Systems |
Week 7
|
M Oct 05
|
(3.1) Properties of Linear Systems |
| |
W Oct 07
|
EXAM 1 REVIEW |
| |
F Oct 09
|
EXAM 1 |
Week 8
|
Oct 12-13 |
Fall Break (No classes) |
|
W Oct 14 |
(3.2) Straight Line Solutions |
|
F Oct 16 |
(3.3) Phase Portraits for Systems with Real Eigenvalues |
Week 9
|
M Oct 19
|
(3.4) Phase Portraits for Systems with Complex Eigenvalues |
| |
W Oct 21 |
(3.5) Phase Portraits for Systems with Repeated or Zero Eigenvalues |
|
F Oct 23 |
(3.6) Second Order Linear Equations |
Week 10
|
M Oct 26 |
(3.7) Trace-Determinant Plane |
| |
W Oct 28 |
(5.1) Equilibrium Point Analysis |
| |
F Oct 30
|
(5.3, 5.4) Hamiltonian Systems, Dissipative Systems |
| Week 11 |
M Nov 02
|
EXAM 2 REVIEW |
| |
W Nov 04
|
Buckmire absent (Class cancelled) |
| |
F Nov 06
|
EXAM 2 |
| Week 12 |
M Nov 09
|
(6.1) Laplace Transforms |
|
W Nov 11
|
(6.2) Laplace Transforms for Discontinuous Functions |
| |
F Nov 13
|
(6.3) Applications of Laplace Transforms to 2nd Order Linear Equations |
| Week 13 |
M Nov 16
|
(6.4) Delta Function and Impulse Forcing |
| |
W Nov 18
|
(6.5) Introduction to Convolutions |
|
F Nov 20
|
TBA Topic
|
| Week 14 |
M Nov 23 |
Project Presentations
|
|
M Nov 25 |
Thanksgiving Break (No Class) |
| |
W Nov 27 |
Thanksgiving Break (No Class) |
| Week 15 |
M Nov 30
|
Project Presentations |
|
W Dec 2
|
Project Presentations |
| |
|
|
| Final Exam |
Sat Dec 12
|
830-1130am
|
