Recordings of class lectures are only available to students registered in MATH:3600:0002. They are available by logging into ICON, click on UICapture (near bottom of column). The in class videos are in the folder titled "In Class videos."

Week 1

Linear algebra + partial fractions review (25:45 min video),    slides (pdf),   annotated slides (pdf):
View anytime before the end of week 1
We will use several concepts that you have seen before in linear algebra. While you do not need an abstract understanding of these concepts for this course, it can be helpful (especially for future courses and out in the real world) to see how concepts that seem different can be very similar (for example, working with vectors, polynomials, or solutions to linear differential equations).

Slope fields (45:18 min video)   slides (pdf),   annotated slides (pdf):
View anytime between Thursday 8/28 and Thursday 9/3

1. A quick review of a standard slope field example: $y' = (y - 3)(y +1)$
2. A more complicated example that might help with HW 1: sect 1.1 # 23
3. Briefly introduce a standard counter-example $y' = y^\frac{1}{3}$. We will discuss this example more thoroughly later in this course.

Week 2

Introduction to Proofs Part 2 (10:18 min video)   slides (pdf),   annotated slides (pdf):
View anytime between now and Friday 9/11
A very elementary introduction to proofs. Example: Prove a function is NOT 1:1

Review of solving first order LINEAR differential equation using an integrating factor (15:46 min video)   slides (pdf),   annotated slides (pdf):
View anytime between now and Friday 9/11

Week 3

Theorem 2.4.2/domain (28:41 min video)   slides (pdf),   annotated slides (pdf):
View anytime between now and Friday 9/18
Thm 2.4.2 can sometimes be used to determine if an IVP has a unique solution, but it cannot be used to determine the domain of that solution. In this video, we first use Thm 2.4.2 to determine when $y' = 1/[(1-t)(2-y)$, y(t_0) = y_0 is guaranteed to have a uniqe solution. We then use a lot of algebra and a little bit of calculus to solve this DE and determine the domain of this solution when the initial value is the point (0, 1).

Week 4

1. A quick review of a standard slope field example: $y' = (y - 3)(y +1)$
2. A more complicated example that might help with HW 1: sect 1.1 # 23
3. Briefly introduce a standard counter-example $y' = y^\frac{1}{3}$. We will discuss this example more thoroughly later in this course.