Math 2410 Lectures
Aug 2529 
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 15 
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 812 
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 1519 
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 2226 
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 293 
2.1 
Modelling via Systems 
# 1, 2, 3, 4, 5, 6, 7, 8, 914, 15, 17, 18,
2024, 2530 

2.2 
The Geometry of Systems 
# 1, 3, 5, 7, 11, 13, 15, 17, 20, 21, 23, 24, 25,
26, 27, 28, 29 
Oct 610 
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 1317 
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 2024 
3.2 
Straight Line Solutions 
# 1, 3, 5, 7, 11, 15, 16, 17, 18, 19, 20, 21, 23 

3.3 
Real Eigen values 
# 1, 3, 5, 9, 13, 15, 17, 18, 19, 20, 21, 23, 24,
25, 26, 27 
Oct 2731 
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 37 
3.6 
SecondOrder Linear Equations 
# 1, 3, 5, 7, 9, 11, 30, 31, 32, 36 
Hour Exam Two : Friday, 7 November 2008
Forcing and Resonance
Nov 1014 
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 1721 
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 15 
6.2 
Discontinuous Functions 
# 1, 2, 3, 5, 7, 9, 11, 13, 14, 15, 16, 17, 18 
Final Exam: Wednesday, 10 December 2008,
10:30AM12:30PM
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