Unit 1: Linear Differential Equations
Week 1
Class 1: Topic 1: Introduction to Differential Equations (PDF)
Class 2: Topic 1: Introduction to Differential Equations (cont.) (PDF)
Class 3: Recitation 1 [no notes]
Class 4: Topic 2: Linear Systems (PDF)
Class 5: Topic 3: Input Response (PDF)
Week 2
Class 6: Topic 4: Complex Numbers (PDF)
Class 7: Topic 4: Complex Numbers (cont.) (PDF)
Class 8: Recitation 2 [no notes]
Class 9: Topic 5: Homogeneous, Linear, and Constant Coefficient DEs (PDF)
Class 10 Topic 5: Homogeneous, Linear, and Constant Coefficient DEs (cont.) (PDF)
Week 3
Class 11: Quiz 1 (Topics 1–3)
Class 12: Recitation 3 [no notes]
Class 13: Topic 6: Operators, Inhomogeneous DEs, ERF, and SRF (PDF)
Class 14: Topic 6: Operators, Inhomogeneous DEs, ERF, and SRF (cont.) (PDF)
Week 4
Class 15: Topic 7: Polynomial Input (PDF)
Class 16: Topic 8: Stability (PDF)
Class 17: Recitation 4 [no notes]
Class 18: Topic 9: Engineering Language: Input, Gain, and Phase Lag (PDF)
Class 19: Topic 9: Engineering Language: Input, Gain, and Phase Lag (cont.) (PDF)
Week 5
Class 20: Quiz 2 (Topics 4–8)
Class 21: Topic 9: Engineering Language: Input, Gain, and Phase Lag (cont.) (PDF) [same as class 19 notes]
Class 22: Recitation 5 [no notes]
Unit 2: First-Order Differential Equations
Class 23: Topic 10: Graphical Methods: Direction Fields and Integral Curves (PDF)
Class 24: Topic 11: Numerical Methods for y’ = f(x,y) (PDF)
Week 6
Class 25: Topic 12: Autonomous Systems (PDF)
Class 26: Topic 12: Autonomous Systems (cont.) (PDF)
Class 27: Recitation 6 [no notes]
Class 28: Quiz 3 (Topic 9)
Unit 3: Linear Algebra
Class 29: Topic 13: Linear Algebra (PDF)
Week 7
Class 30: Topic 14: Row Reduction (PDF)
Class 31: Topic 14: Row Reduction (cont.) (PDF)
Class 32: Recitation 7 [no notes]
Class 33: Topic 15: Inverse, Determinant, and Transpose (PDF)
Class 34: Topic 16: Eigenstuff (PDF)
Week 8
Class 35: Topic 16: Eigenstuff (cont.) (PDF)
Class 36: Topic 17: Matrix Methods for DEs (PDF)
Class 37: Recitation 8 [no notes]
Class 38: Topic 17: Matrix Methods for DEs (cont.) (PDF) [same as class 36 notes]
Unit 4: Impulses, Fourier Series, Partial Differential Equations
Class 39: Topic 20: Step and Delta Functions (PDF)
Week 9
Class 40: [no class]
Class 41: Topic 20: Delta Functions (cont.) (PDF)
Class 42: Quiz 4 (Topics 13–17)
Class 43: Topic 21: Fourier Series (PDF)
Class 44: Topic 21: Fourier Series (cont.) (PDF)
Week 10
Class 45: Topic 22: Fourier Series (cont.) (PDF)
Class 46: Recitation 10 [no notes]
Class 47: Topic 23: Computation Tricks, Sine and Cosine Series (PDF)
Class 48: Review and Catch up [no notes]
Week 11
Class 49: Topic 24: P(D)x = periodic (PDF)
Class 50: Topic 25: PDEs (PDF)
Class 51: Recitation 11 [no notes]
Class 52: Quiz 5 (Topics 20–23)
Class 53: Topic 26: PDEs (cont.) (PDF)
Unit 5: Qualitative Descriptions of Systems
Week 12
Class 54: Topic 27: Linear Phase Portraits (PDF)
Class 55: Topic 27: Linear Phase Portraits (cont.) (PDF)
Class 56: Recitation 12 [no notes]
Class 57: Topic 28: Nonlinear Systems (PDF)
Class 58: Review and Catch up [no notes]
Week 13
Class 59: Topic 29: Structural Stability (PDF)
Class 60: Topic 30: Population Models (PDF)
