Math 2410 Outline

Tentative Outline for Math 1132 – Spring 2016

Week Date Section Topic Suggested homework
1 1/19  1.1 Modeling via Differential Equations  2,5,7,14,17,22
1.2 Analytic Technique: Separation of Variables 8,11,19,23,30,34,38
 2  1/25 1.3 Qualitative Technique: Slope Fields 1,7,8,11,12,14,16
1.4 Numerical Technique: Euler’s Methods 2,4,7,11
3 2/1 1.5 Existence and Uniqueness of Solutions 4,9,12,14,17
1.6 Equilibria and the Phase Line 6,10,23,28,30,34,37,

38,39

4 2/8 1.7 Bifurcations 4,6,10,11,13,18,20
1.8 Linear Equations 7,9,11,21,24
5 2/15 1.9 Integrating Factors for Linear Equations 1,4,12,13,21,25
 2/18 In class Midterm 1
6 2/22 2.1 Modeling via Systems 9,11,13,15,16a,20,23
2.2 The Geometry of Systems 7a,b,9,11,13a,19a,b,21,27
7 2/29 2.3 The Damped Harmonic Oscillator 1b,4b,5b,7,8
2.4 Additional Analytical Methods for Special Systems 1,7,9,13a-c
 2.5 Euler’s Method for Systems  1,4,5
2.6, 2.7* Existence and Uniqueness for Systems; SIR model of an Epidemic  2.6:1a,5,7,10,11

2.7: 3,4,6a-c

 8  3/7 3.1 Properties of Linear Systems and the Linearity Principle 6,8,15,16,21,25,27
3.2 Straight-Line Solutions 3,6,8,11,13,19,20,22
9 3/14 No Classes Spring Break
10 3/21 3.3 Phase Portrait for Linear Systems with Real Eigenvalues  3,5,7,9,11,13,19,21
3.4 Complex Eigenvalues 3,5,7,9,11,13,15,19,21
 11 3/28 3.5 Special Cases: Repeated and Zero Eigenvalues 2,3,6,7,11,18,20,21a,22a,24
3/31 In class Midterm 2
 12  4/4 3.6 Second-Order Linear Equations 1,3,5,7,9,11,17-20,25-28
3.7 The Trace-Determinant Plane 3,5,7,9,11
 13 4/11 4.1 Forced Harmonic Oscillator 1,7,11,13,15,17,19,21,23,25,27

32,39

4.2 Sinusoidal Forcing 7,9,13,17,20
4.3 Undamped Forcing and Resonance 1,5,9,13,15,19,21
14 4/18 5.1 Equilibrium Point Analysis  1,3,5,6,7a.b,17,21,23
6.1 Laplace Transform 7,11,13,15,19,23
15 4/25 6.2 Discontinuous Functions  1,3,5,9,11,14
6.3 Second-Order Equations  7,9,15,17,29,30,33
Review
17 5/2 Finals Week