Math 0290 Schedule and Practice Problems

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 12: Numerical Methods. Euler’s Method
Computer tools including Matlab for DEs
6.1 Number 1-9, 11

January 17: Numerical Methods. Runge-Kutta Methods
6.2 Number 1-9

January 19: 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 298: Mixing Problems
2.5 Number 1-7, 9, 10

January 31: Electrical Circuits
3.4 Number 1-19

February 2: 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 9: 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 16: Forced Harmonic Motion
4.7 Number 3-11

February 19: Review

February 21: Exam I

February 23: 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 1: Using the Laplace Transform to Solve DEs
5.4 Number 1-26

March 4: Discontinuous Forcing Term
5.5 Number 1-25

March 6: The Dirac Delta Function
5.6 Number 1-9

March 8: Convolutions
5.7 Number 4-24

March 18: Introduction to Systems
8.1 Number 1-16

March 20: Systems (cont)
8.2 Number 1-6, 13-16

March 22: Systems (cont)
8.3 Number 1-6

March 25: Linear Systems with Constant Coefficients
9.1 Number 1-8, 16-23

March 27: Planar Systems
9.2 Number 1-27, 58-61

March 29: Phase Plane Portraits
9.3 Number 20-23

April 1: Nonlinear Systems: Equilibria, Linearization
10.1 Number 1-16

April 3: Review

April 5: Exam 2

April 8: Fourier Series
12.1 Number 1-22

April 10: Fourier Cosine and Sine Series
12.3 Number 1-32

April 12: Heat Equation
13.1 Number 1-9

April 15: Separation of Variables
13.2 Number 1-9

April 17: Separation of Variables (continued)
13.2 Number 1-9

April 19: Review

April 24
Final Exam (all day sections)
2:00-3:50 PM Room: TBA