Math 2410 Lectures
| Aug 25-29 |
1.1 |
Modeling via Diff Eqs |
# 2, 3, 5, 7, 8, 9, 15, 16, 17, 19, 20 |
| |
1.2 |
Separation of Variables |
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25,
27, 29, 31, 34 |
| Sept 1-5 |
1.3 |
Slope Fields |
# 1, 3, 5, 7, 9, 11, 13, 15, 16, 17, 18, 24 |
| |
1.4 |
Euler’ s Method |
# 1, 3, 5, 7, 8, 10, 11 |
| Sept 8-12 |
1.5 |
Existence and Uniqueness |
# 1, 3, 5, 6, 7, 8, 13, 18 |
| |
1.6 |
Equilibria and the Phase Line |
# 1, 3, 5, 7, 9, 11, 29, 31, 33, 35, 37, 38, 39,
45, 46, 47, 48 |
| Sept 15-19 |
1.7 |
Bifurcations |
# 1, 3, 5, 7, 9, 11, 17, 22, 23 |
| |
1.8 |
Linear Equations |
# 1, 3, 5, 7, 9, 11, 13, 21, 23, 25, 27, 32, 33,
34 |
| Sept 22-26 |
1.9 |
Integrating Factors |
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 20, 21, 22,
25 |
Hour Exam One: Friday, 26 September 2008
First- Order Systems
| Sept 29-3 |
2.1 |
Modelling via Systems |
# 1, 2, 3, 4, 5, 6, 7, 8, 9-14, 15, 17, 18,
20-24, 25-30 |
| |
2.2 |
The Geometry of Systems |
# 1, 3, 5, 7, 11, 13, 15, 17, 20, 21, 23, 24, 25,
26, 27, 28, 29 |
| Oct 6-10 |
2.3 |
Special Systems (Analytic) |
# 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
15, 17 |
| |
2.4 |
Euler’s Method for Systems |
# 1, 2, 3, 5, 7, 8, 9, 12, 13, 14, 15 |
| Oct 13-17 |
2.5 |
Lorenz Equations |
# 1, 2, 3, 4, 5 |
Linear Systems
| |
3.1 |
Linear Systems |
# 1, 2, 3, 4, 5, 7, 9, 14, 15, 16, 17, 20, 21,
22, 23, 25, 26, 27, 34 |
| Oct 20-24 |
3.2 |
Straight- Line Solutions |
# 1, 3, 5, 7, 11, 15, 16, 17, 18, 19, 20, 21, 23 |
| |
3.3 |
Real Eigenvalues |
# 1, 3, 5, 9, 13, 15, 17, 18, 19, 20, 21, 23, 24,
25, 26, 27 |
| Oct 27-31 |
3.4 |
Complex Eigenvalues |
# 1, 2, 3, 5, 7, 9, 11, 13, 15, 16, 17, 18, 19,
20, 21, 23, 24 |
| |
3.5 |
Repeated and Zero Eigenvalues |
# 1, 3, 5, 7, 9, 10, 11, 12, 13, 15, 17, 20, 24 |
| Nov 3-7 |
3.6 |
Second- Order Linear Equations |
# 1, 3, 5, 7, 9, 11, 30, 31, 32, 36 |
Hour Exam Two : Friday, 7 November 2008
Forcing and Resonance
| Nov 10-14 |
4.1 |
Forced Harmonic Oscillators |
# 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 20, 25, 27,
29, 36, 37, 39, 41 |
| |
4.2 |
Sinusoidal Forcings |
# 1, 3, 5, 7, 9, 11, 13, 15, 16, 17, 18, 19, 20 |
Nonlinear Systems
| Nov 17-21 |
5.1 |
Equilibrium Point Analysis |
# 1, 2, 3, 4, 5, 6, 27, 28, 29, 30 |
Laplace Transforms
| |
6.1 |
Laplace Transforms |
# 1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 19, 26,
27 |
| Dec 1-5 |
6.2 |
Discontinuous Functions |
# 1, 2, 3, 5, 7, 9, 11, 13, 14, 15, 16, 17, 18 |
Final Exam: Wednesday, 10 December 2008,
10:30AM-12:30PM
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