The problem sheets are designed to be worked on by students in groups in recitation.
Course recitations.
| SES # |
TOPICS |
SOLUTIONS |
| 1 |
Natural Growth and Decay (PDF) |
(PDF) |
| 2 |
Direction Fields, Integral Curves, Isoclines (PDF) |
(PDF) |
| 3 |
Numerical Methods; Linear Models (PDF) |
(PDF) |
| 4 |
First Order Linear ODEs: Models and Solutions (PDF) |
(PDF) |
| 5 |
Complex Numbers, Complex Exponentials (PDF) |
(PDF) |
| 6 |
Using the Complex Exponential; Autonomous Equations (PDF) |
(PDF) |
| 7 |
Solutions to Second Order ODEs (PDF) |
(PDF) |
| 8 |
Homogeneous Second Order Linear Equations (PDF) |
(PDF) |
| 9 |
Second Order Linear Equations (PDF) |
(PDF) |
| 10 |
Operators, Exponential Response, Exponential Shift, Undetermined Coefficients (PDF) |
(PDF) |
| 11 |
Superposition, Frequency Response (PDF) |
(PDF) |
| 12 |
Review |
|
| 13 |
Fourier Series: Introduction (PDF) |
(PDF) |
| 14 |
Fourier Series: Playing Around (PDF) |
(PDF) |
| 15 |
Fourier Series: Harmonic Response (PDF) |
(PDF) |
| 16 |
Step and Delta Functions, and Step and Delta Responses (PDF) |
(PDF) |
| 17 |
Convolution (PDF) |
(PDF) |
| 18 |
Laplace Transform (PDF) |
(PDF) |
| 19 |
Hour Exam Review (PDF) |
(PDF) |
| 20 |
Systems of First Order Equations (PDF) |
(PDF) |
| 21 |
Eigenvalues and Eigenvectors (PDF) |
(PDF) |
| 22 |
Complex or Repeated Eigenvalues (PDF) |
(PDF) |
| 23 |
Qualitative Analysis of Linear Systems (PDF) |
(PDF) |
| 24 |
Matrix Exponentials and Inhomogeneous Equations (PDF) |
(PDF) |
| 25 |
Qualitative Analysis of Nonlinear Systems (PDF) |
(PDF) |
| 26 |
Review |
|