# Math 0290 Schedule and Practice Problems

August 29: Introduction to Differential Equations
1.1 Number 1-11.

August 31: First Order Initial Value Problems
2.1 Number 3-6, 10-15, 21-28.

September 2: Numerical Methods. Euler’s Method
Computer tools including Matlab for DEs
6.1 Number 1-9, 11

September 7: Numerical Methods. Runge-Kutta Methods
6.2 Number 1-9

September 9: Numerical Methods. Numerical Error
6.3 Number 1-6, 11-13

September 12: Separable Equations
2.2 Number 1-22, 23-29, 33-35

September 14: Models of Motion
2.3 Number 1-10

September 16: First Order Linear Equations
2.4 Number 1-21, 29

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

September 21: Electrical Circuits
3.4 Number 1-19

September 23: Second Order Equations
4.1 Number 1-20, 26-30

September 26: Linear Homogeneous Equations with Constant Coefficients
4.3 Number 1-36

September 28: Harmonic Motion
4.4 Number 1-12, 14-16, 18

September 30: Inhomogeneous Equations. Undetermined Coefficients
4.5 Number 1-29

October 3: Undetermined Coefficients (continued)
4.5 Number 1-29

October 5: Inhomogeneous Equations. Variation of Parameters
4.6 Number 1-10

October 7: Forced Harmonic Motion
4.7 Number 3-11

October 10: Review

October 12: Exam I

October 17: Laplace Transform
5.1 Number 1-29

October 19: Laplace Transform. Basic Properties
5.2 Number 1-41

October 21: The Inverse Laplace Transform
5.3 Number 1-36

October 24: Using the Laplace Transform to Solve DEs
5.4 Number 1-26

October 26: Discontinuous Forcing Term
5.5 Number 1-25

October 28: The Dirac Delta Function
5.6 Number 1-9

October 31: Convolutions
5.7 Number 4-24

November 2: Introduction to Systems
8.1 Number 1-16

November 4: Systems (cont)
8.2 Number 1-6, 13-16

November 7: Systems (cont)
8.3 Number 1-6

November 9: Linear Systems with Constant Coefficients
9.1 Number 1-8, 16-23

November 11: Planar Systems
9.2 Number 1-27, 58-61

November 14: Phase Plane Portraits
9.3 Number 20-23

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

November 18: Review

November 28: Exam 2

November 30: Fourier Series
12.1 Number 1-22

December 2: Fourier Cosine and Sine Series
12.3 Number 1-32

December 5: Heat Equation
13.1 Number 1-9

December 7: Separation of Variables
13.2 Number 1-9

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

December 14
Final Exam (all day sections)
8:00-9:50AM Room: TBA