Recitations
The problem sheets are designed to be worked on by students in groups in recitation.
| 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 |
