MA 30300— Fall 2025

Instructor: Dr. Kuan-Hua Chen | Office: MATH 848 | Office Hours: M-F 9-10 AM

Week 1 (8/25–8/29)

Lecture 1: Introduction and 5.2 The Eigenvalue Method for Homogeneous Systems—Video | Notes (video was not recorded correctly)

Lecture 2: 5.5 Multiple Eigenvalue Solutions—Video | Notes

Lecture 3: 5.3 Solution Curves of Linear Systems—Video | Notes

Week 2 (9/1–9/5)

Monday, 9/1—Labor Day (no class)

Lecture 4: 6.1 Stability and the Phase Planes—Video | Notes

Lecture 5: 6.2 Linear and Almost Linear Systems (part 1)—Video | Notes

Week 3 (9/8–9/12)

Lecture 6: 6.2 Linear and Almost Linear Systems (part 2)—Video | Notes

Lecture 7: 6.3 Ecological Models: Predators and Competitors (part 1)—Video | Notes

Lecture 8: 6.3 Ecological Models: Predators and Competitors (part 2)—Video | Notes

Week 4 (9/15–9/19)

Recap: Ch.5 and Ch.6—Video | Notes

Lecture 9: 7.1 Laplace Transform—Video | Notes

Lecture 10: 7.2 Laplace Transform of Initial-Value Problems—Video | Notes

Week 5 (9/22–9/26)

Lecture 11: 7.3 Translation of Laplace Transform—Video (document camera was not recorded...)| Notes

Lecture 12: 7.4 Derivative, Integral, and Multiplication of Laplace Transforms—Video| Notes

Lecture 13: 7.5 Piecewise Continuous Input Functions—Video| Notes

Week 6 (9/29–10/3)

Lecture 14: 7.6 Impulse Functions—Video| Notes

Exam 1 Review—Video| Notes

Lecture 15: 2.4 Euler's Method—Video| Notes

Week 7 (10/6–10/10)

Lecture 16: 2.5 Improved Euler's Method—Video| Notes

Lecture 17: 2.6 The Runge-Kutta Method—Video| Notes

Week 8 (10/13–10/17)

Lecture 18: 9.1 Periodic Functions and Fourier Series—Video| Notes

Lecture 19: 9.1 (continued)—Video| Notes

Week 9 (10/20–10/24)

Lecture 20: 9.2 General Fourier Series and Convergence—Video| Notes

Lecture 21: 9.2 (continued)—Video| Notes

Lecture 22: 9.3 Fourier Cosines and Sine Series—Video| Notes

Week 10 (10/27–10/31)

Lecture 23: 9.3 (continued)—Video| Notes

Recap/Look ahead—Video| Notes

Lecture 24: 9.4 Application of Fourier Series—Video| Notes

Week 11 (11/3–11/7)

Lecture 25: 9.4 (continued)—Video| Notes

Lecture 26: 9.5 Heat Equation and Separation of Variables—Video| Notes

Lecture 27: 9.5 (continued)—Video| Notes

Week 12 (11/10–11/14)

Lecture 28: 9.5 (continued)—Video| Notes

Exam 2 Review—Video| Notes

Lecture 29: 9.6 Wave Equation—Video| Notes

Week 13 (11/17–11/21)

Lecture 30: 9.6 (continued)—Video| Notes

Lecture 31: 9.6 (continued)—Video| Notes

Lecture 32: 9.7 Laplace's Equation—Video| Notes | Accessible version (experimental)

Week 14 (12/1–12/5)

Lecture 33: 9.7 (continued)—Video| Notes | Accessible version (experimental)

Lecture 34: 10.1 Sturm-Liouville Problem—Video| Notes | Accessible version (experimental)

Lecture 35: 10.1 (continued)—Video| Notes | Accessible version (experimental)

Week 15 (12/8–12/12)

Exam 3 Review (part 1): Video| Notes | Accessible version (experimental)

Exam 3 Review (part 2): Video| Notes | Accessible version (experimental)

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