January 8: Introduction to Differential Equations
1.1 Number 1-11.
January 10: First Order Initial Value Problems
2.1 Number 3-6, 10-15, 21-28.
January 13: Numerical Methods. Euler’s Method
Computer tools including Matlab for DEs
6.1 Number 1-9, 11
January 15: Numerical Methods. Runge-Kutta
Methods
6.2 Number 1-9
January 17: Numerical Methods. Numerical Error
6.3 Number 1-6, 11-13
January 22: Separable Equations
2.2 Number 1-22, 23-29, 33-35
January 24: Models of Motion
2.3 Number 1-10
January 26: First Order Linear Equations
2.4 Number 1-21, 29
January 29: Mixing Problems
2.5 Number 1-7, 9, 10
January 31: Electrical Circuits
3.4 Number 1-19
February 3: Second Order Equations
4.1 Number 1-20, 26-30
February 5: Linear Homogeneous Equations with Constant
Coefficients
4.3 Number 1-36
February 7: Harmonic Motion
4.4 Number 1-12, 14-16, 18
February 10: Inhomogeneous Equations. Undetermined Coefficients
4.5 Number 1-29
February 12: Undetermined Coefficients (continued)
4.5 Number 1-29
February 14: Inhomogeneous Equations. Variation of Parameters
4.6 Number 1-10
February 17: Forced Harmonic Motion
4.7 Number 3-11
February 19: Review
February 21: Exam I
February 24: Laplace Transform
5.1 Number 1-29
February 26: Laplace Transform. Basic Properties
5.2 Number 1-41
February 28: The Inverse Laplace Transform
5.3 Number 1-36
March 10: Using the Laplace Transform to Solve DEs
5.4 Number 1-26
March 12: Discontinuous Forcing Term
5.5 Number 1-25
March 14: The Dirac Delta Function
5.6 Number 1-9
March 17: Convolutions
5.7 Number 4-24
March 19: Introduction to Systems
8.1 Number 1-16
March 21: Systems (cont)
8.2 Number 1-6, 13-16
March 24: Systems (cont)
8.3 Number 1-6
March 26: Linear Systems with Constant Coefficients
9.1 Number 1-8, 16-23
March 28: Planar Systems
9.2 Number 1-27, 58-61
March 31: Phase Plane Portraits
9.3 Number 2-23
April 2: Nonlinear Systems: Equilibria, Linearization
10.1 Number 1-16
April 4: Review
April 7: Exam 2
April 9: Fourier Series
12.1 Number 1-22
April 11: Fourier Cosine and Sine Series
12.3 Number 1-32
April 14: Heat Equation
13.1 Number 1-9
April 16: Separation of Variables
13.2 Number 1-9
April 18: Separation of Variables (continued)
13.2 Number 1-9
April 21: Review
April 28
Final Exam (all day sections)
2:00-3:50 PM Room: TBA