Course Schedule 

                           

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Tentative Schedule

Updated - due to Snow Days
Date     Chap Topics
Jan 13 M 1 History of ODEs
15 W 1 ODE Review I
17 F 2 ODE Review II
20 M No Class
22 W 2 Snow Day
  24 F 2 Snow Day
27 M 2 Linear Systems in the Plane
  29 2 Equilibrium Solutions
31 2 Polar Forms/Maple-MATLAB
Feb 3 2  Matrices/Eigenvalue Problems
5    Classification of Cases
7    Exponentiation of Matrices
10 M   Exam I
12

2

Applications/Nonhomogeneous Systems
14 3 Nonlinear ODEs and Bifurcations
17 3 Stability of Nonlinear Systems
 19 3 Nonlinear Pendulum/MATLAB
21 3 Simulink/Exact Solution of Nonlinear Pendulum
24 3 Lotka-Volterra/Limit Cycles
26 3 Asymptotics/Nonautonomous Systems
28 F   Exam II
        Spring Break March 1-8
Mar 10 3 Nonautonomous Systems 
12 4 Boundary Value Problems//Heat Equation
14 4 Eigenfunction Expansions
17 4 Linear Algebra Connections 
19 W 5 Fourier Series I
21 5 Fourier Series II
24 5 Applications
  26 5 Sine-Cosine Series
28   Exam III
  31 6 Sturm-Liouville Theory
 Apr 2 6 Properties - Sturm-Liouville BVPs
3 6 Eigenfunction Expansions
7 Classical Orthogonal Polynomials
9 7 Legendre Polynomials
11 7 Differential Equation/Fourier-Legendre Series
14 7 Gamma Function/Bessel Functions
16 7 Fourier-Bessel Series
  17 R   No Class
  18 F   No Class
21 M 7 Hypergeometric Functions 
23 8 Variation of Parameters
  25 8 Green's Functions
  28  8 Properties of Green's Functions
  30  8 Dirac Delta Function/Series Representations
May 1  R   Reading Day
May 7   Final Exam 8:00 AM
 

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E-Mail: Dr. Russell Herman Last Updated: April 7, 2025