August 28: Introduction to Differential Equations
1.1 Number 1-11.
August 30: First Order Initial Value Problems
2.1 Number 3-6, 10-15, 21-28.
September 1: Numerical Methods. Euler’s Method
Computer tools including Matlab for DEs
6.1 Number 1-9, 11
September 6: Numerical Methods. Runge-Kutta
Methods
6.2 Number 1-9
September 8: Numerical Methods. Numerical Error
6.3 Number 1-6, 11-13
September 11: Separable Equations
2.2 Number 1-22, 23-29, 33-35
September 13: Models of Motion
2.3 Number 1-10
September 15: First Order Linear Equations
2.4 Number 1-21, 29
September 18: Mixing Problems
2.5 Number 1-7, 9, 10
September 20: Electrical Circuits
3.4 Number 1-19
September 22: Second Order Equations
4.1 Number 1-20, 26-30
September 25: Linear Homogeneous Equations with Constant
Coefficients
4.3 Number 1-36
September 27: Harmonic Motion
4.4 Number 1-12, 14-16, 18
September 29: Inhomogeneous Equations. Undetermined Coefficients
4.5 Number 1-29
October 2: Undetermined Coefficients (continued)
4.5 Number 1-29
October 4: Inhomogeneous Equations. Variation of Parameters
4.6 Number 1-10
October 9: Forced Harmonic Motion
4.7 Number 3-11
October 11: Review
October 13: Exam I
October 16: Laplace Transform
5.1 Number 1-29
October 18: Laplace Transform. Basic Properties
5.2 Number 1-41
October 20: The Inverse Laplace Transform
5.3 Number 1-36
October 23: Using the Laplace Transform to Solve DEs
5.4 Number 1-26
October 25: Discontinuous Forcing Term
5.5 Number 1-25
October 27: The Dirac Delta Function
5.6 Number 1-9
October 30: Convolutions
5.7 Number 4-24
November 1: Introduction to Systems
8.1 Number 1-16
November 3: Systems (cont)
8.2 Number 1-6, 13-16
November 6: Systems (cont)
8.3 Number 1-6
November 8: Linear Systems with Constant Coefficients
9.1 Number 1-8, 16-23
November 10: Planar Systems
9.2 Number 1-27, 58-61
November 13: Phase Plane Portraits
9.3 Number 20-23
November 15: Nonlinear Systems: Equilibria, Linearization
10.1 Number 1-16
November 17: Review
November 27: Exam 2
November 29: Fourier Series
12.1 Number 1-22
December 1: Fourier Cosine and Sine Series
12.3 Number 1-32
December 4: Heat Equation
13.1 Number 1-9
December 6: Separation of Variables
13.2 Number 1-9
December 8: Separation of Variables (continued)
13.2 Number 1-9
December 14
Final Exam (all day sections)
2:00-3:50PM Room: TBA