Week 1
August 26:
Introduction to Differential Equations (DE)
dfield.jar
1.1
Number 1-11. Homework: 1,2,5,7,11
August 28: First Order Initial Value Problems
2.1
Number 1-6, 12-15. Homework: 1,3,5,12,13,15
August 30:
Numerical methods
and computer tools including Matlab for DEs
6.1
Number 1-5 Homework: 3,5
Solutions
Week 2
September 4:
Numerical Methods. Runge-Kutta Methods
6.2
Number 1-9. Homework: 5, 23
September 6:
Numerical Methods. Numerical Error.
6.3 Number 1-6, 11-13.
Solutions
Week 3
September 9
Separable Equations
2.2
Number 1-22, 23-29, 33-35 Homework: 3,5,9,33
September 11:
Models of Motion
2.3
Number 1-10 Homework: 9
September 13:
First Order Linear Equations
2.4
Number 1-21 Homework: 5,15,19
Solutions
Week 4
September 16:
Mixing Problems
2.5
Number 1-7, 9-10 Homework: 5, 9b
September 18:
Electrical Circuits
3.4
Number 1-19 Homework: 1,3,5,7,11
September 20:
Second Order Equations
4.1
Number 1-20, 26-30 Homework: 1,3,9,17
Solutions
Week 5
September 23:
Linear Homogeneous Equations with Constant Coefficients
4.3
Number 1-36 Homework: 1,9,17,35
September 25:
Harmonic Motion
4.4
Number 1-12, 14-16, 18 Homework: 1,7
September 27:
Inhomogeneous second order equations. Undetermined Coefficients
4.5
Number 1-29 Homework: 1,5,11
Solutions
Week 6
September 30:
Inhomogeneous second order equations. Undetermined Coefficients (continued)
4.5 (cont.) Number 1-29 Homework: 15,19
October 2:
Inhomogeneous Equations. Variation of Parameters
4.6
Number 1-10 Homework: 1,3,5
October 4:
Forced harmonic motion
4.7
Number 3-11 Homework: 3,11
Solutions
Week 7
October 7:
Review
October 9:
Midterm 1
October 11:
Laplace Transform
5.1
Number 1-29 Homework: 7,13,15,29
Solutions
Week 8
October 14:
Fall Break for students (No Classes)
October 16:
Laplace Transform. Basic properties
5.2
Number 1-41 Homework: 5,11,19,29
October 18:
The Inverse Laplace Transform
5.3
Number 1-36 Homework: 3,7,11,19
Solutions
Week 9
October 21:
Using the Laplace Transform to solve DEs
5.4
Number 1-26 Homework: 7,11,21
October 23:
Discontinuous Forcing Term
5.5
Number 1-25 Homework: 1,3,11,17
October 25:
The Dirac Delta Function
5.6
Number 1-9 Homework: 2,3,5,7
Solutions
Week 10
October 28:
Convolutions
5.7
Number 4-24 Homework: 6,8,10
October 30:
Introduction to Systems
8.1
Number 1-16 Homework: 5,7,13,15
November 1:
Systems (continued)
8.2
Number 1-6, 13-16 Homework: 11,13,15 (use pplane.jar)
Solutions
Week 11
November 4:
Systems of differential equations, Constant coefficient homogeneous 2x2 systems
8.3
Number 1-6 Homework: 1,3,5
November 6:
Linear Systems with Constant Coefficients
9.1
Number 1-8, 16-23 Homework: 3,5,17,19
November 8:
Planar Systems
9.2
Number 1-27, 58-61 Homework: 3,13,15,59
Solutions
Week 12
November 11:
Phase Plane Portraits
9.3
Number 20-23 Homework: 21
November 13:
Nonlinear Systems: Equilibria, Linearization
10.1
Number 1-16 Homework: 3,7,15
November 15:
Review
Solutions
Week 13
November 18:
Midterm 2
November 20:
Fourier series
12.1
Number 1-22 Homework: 5,7,13,17
November 22:
Fourier Cosine and Sine Series
12.3
Number 1-32 Homework: 3,7,19,31
Solutions
Week 14
December 2:
Heat Equation
13.1 Number 1-9 Homework: 3
December 4:
Separation of variables for the heat equation
13.2 Number 1-18
December 6:
Separation of variables for the heat equation (continued)
13.2 Number 1-18
Solutions
December 9:
Review