Week 1 (1/12 – 1/16)
- Lecture 1 5.2 The Eigenvalue Method for Homogeneous Systems
- Lecture 2 5.2 (continued), 5.5 Multiple Eigenvalue Solutions
- Lecture 3 5.5 (continued)
Week 2 (1/20 – 1/23)
- Lecture 4 5.3 Solution Curves / Phase Portraits of Linear Homogeneous Systems
- Lecture 5 6.1 Stability and the Phase Plane
Week 3 (1/26 – 1/30)
- Lecture 6 6.2 Linear and Almost Linear Systems
- Lecture 7 6.2 (continued)
- Lecture 8 6.3 Ecological Models
Week 4 (2/2 – 2/6)
- Lecture 9 6.3 (continued)
- Lecture 10 7.1 Laplace Transform
- Lecture 11 7.2 Laplace Transform of Initial-Value Problems
Week 5 (2/9 – 2/13)
- Lecture 12 7.2 (continued), 7.3 Translation of Laplace Transform
- Lecture 13 7.4 Derivative, Integral, and Multiplication of Laplace Transform
- Lecture 14 7.4 (continued), 7.5 Step Functions
Week 6 (2/16 – 2/20)
- Lecture 15 7.5 (continued), 7.6 Impulse Functions
- Lecture 16 7.6 (continued), 2.4 Euler's Method
- Lecture 17 2.5 Improved Euler's Method
Week 7 (2/23 – 2/27)
- Lecture Exam 1 Review
- Lecture 18 2.6 Runge-Kutta Method
- Lecture 19 9.1 Periodic Functions and Fourier Series
Week 8 (3/2 – 3/6)
- Lecture 20 9.1 (continued)
- Lecture 21 9.2 General Fourier Series and Convergence
- Lecture 22 9.2 (continued)
Week 9 (3/9 – 3/13)
- Lecture 23 9.3 Fourier Cosine and Sine Series
- Lecture 23 9.3 (continued)