Week 1
Class 1: Topic 1: Introduction to Differential Equations
- Reading: Topic 1: Introduction to DE’s, Modeling, Separable Equations (PDF)
- In-Class Notes: Introduction to Differential Equations (PDF)
- Class 1 Problems (PDF)
- Class 1 Solutions (PDF)
Class 2: Topic 1: Introduction to Differential Equations (cont.)
- Reading: Topic 1: Introduction to DE’s, Modeling, Separable Equations (PDF)
- In-Class Notes: Introduction to Differential Equations (cont.) (PDF)
- Class 2 Problems (PDF)
- Class 2 Solutions (PDF)
Class 3: Recitation 1
Class 4: Topic 2: Linear Systems
- Reading: Topic 2: Linear Systems: Input-Response Models (PDF)
- In-Class Notes: Linear Systems (PDF)
- Class 4 Problems (PDF)
- Class 4 Solutions (PDF)
Class 5: Topic 3: Input Response
- Reading: Topic 3: Input-Response Models (cont.) (PDF)
- In-Class Notes: Input Response (PDF)
- Class 5 Problems (PDF)
- Class 5 Solutions (PDF)
Week 2
Class 6: Topic 4: Complex Numbers
- Reading: Topic 4: Complex Numbers and Exponentials (PDF)
- In-Class Notes: Complex Numbers (PDF)
- Class 6 Problems (PDF)
- Class 6 Solutions (PDF)
Class 7: Topic 4: Complex Numbers (cont.)
- Reading: Topic 4: Complex Numbers and Exponentials (PDF)
- In-Class Notes: Complex Numbers (cont.) (PDF)
- Class 7 Problems (taken from Class 6 Problems)
- Class 7 Solutions (taken from Class 6 Solutions)
Class 8: Recitation 2
Class 9: Topic 5: Homogeneous, Linear, and Constant Coefficient DEs
- Reading: Topic 5: Linear DE’s, CC Homogeneous Case (PDF)
- In-Class Notes: Homogeneous, Linear, and Constant Coefficient DEs (PDF)
- Class 9 Problems (PDF)
- Class 9 Solutions (PDF)
Class 10 Topic 5: Homogeneous, Linear, and Constant Coefficient DEs (cont.)
- Reading: Topic 5: Linear DE’s, CC Homogeneous Case (PDF)
- In-Class Notes: Homogeneous, Linear, and Constant Coefficient DEs (cont.) (PDF)
- Class 10 Problems (PDF)
- Class 10 Solutions (PDF)
Week 3
Class 11: Quiz 1 (Topics 1–3) (see Quizzes page)
Class 12: Recitation 3
Class 13: Topic 6: Operators, Inhomogeneous DEs, ERF, and SRF
- Reading: Topic 6: Operators, Inhomogeneous DE’s, Exponential Input Theorem (PDF)
- In-Class Notes: Operators, Inhomogeneous DEs, ERF, and SRF (PDF)
- Class 13 Problems (PDF)
- Class 13 Solutions (PDF)
Class 14: Topic 6: Operators, Inhomogeneous DEs, ERF, and SRF (cont.)
- Reading: Topic 6: Operators, Inhomogeneous DE’s, Exponential Input Theorem (PDF)
- In-Class Notes: Operators, Inhomogeneous DEs, ERF, and SRF (cont.) (PDF)
- Class 14 Problems (PDF)
- Class 14 Solutions (PDF)
Week 4
Class 15: Topic 7: Polynomial Input
- Reading: Topic 7: Inhomogeneous DE’s: UC Methods, Theory (PDF)
- In-Class Notes: Polynomial Input (PDF)
- Class 15 Problems (PDF)
- Class 15 Solutions (PDF)
Class 16: Topic 8: Stability
- Reading: Topic 8: Applications, Stability, Variation of Parameters (PDF)
- In-Class Notes: Stability (PDF)
- Class 16 Problems (PDF)
- Class 16 Solutions (PDF)
Class 17: Recitation 4
Class 18: Topic 9: Engineering Language: Input, Gain, and Phase Lag
- Reading: Topic 9: Applications: Frequency Response (PDF)
- In-Class Notes: Engineering Language: Input, Gain, and Phase Lag (PDF)
- Class 18 Problems (PDF)
- Class 18 Solutions (PDF)
Class 19: Topic 9: Engineering Language: Input, Gain, and Phase Lag (cont.)
- Reading: Topic 9: Applications: Frequency Response (PDF)
- In-Class Notes: Engineering Language: Input, Gain, and Phase Lag (cont.) (PDF)
- Class 19 Problems (taken from Class 18 Problems)
- Class 19 Solutions (taken from Class 18 Solutions)
Week 5
Class 20: Quiz 2 (Topics 4–8) (see Quizzes page)
Class 21: Topic 9: Engineering Language: Input, Gain, and Phase Lag (cont.)
- Reading: Topic 9: Applications: Frequency Response (PDF)
- In-Class Notes: (finish notes from Class 19)
- Class 21 Problems (taken from Class 18 Problems)
- Class 21 Solutions (taken from Class 18 Solutions)
Class 22: Recitation 5
Optional Reading for Enrichment
- Reading: Complexification vs. Inverse Euler’s Formula (PDF) (explanatory note)
- Reading: Complex Impedance (PDF)
