Module 1: First Order Differential Equations
Basic Ideas and Definitions
Implicit and Explicit Solutions
Video: Explicit Solutions
Video: Implicit Solutions
Video: Initial Value Problems
Direction Fields
Video: Direction Fields
The Approximation Method
Video: Euler’s Method
Video: Automating Euler’s Method
Video: More Euler’s Method
Separable Equations
Video: Separable Differential Equations
Video: Verifying Solutions
Video: More Separable Equations
Linear Equations
Compartmental Analysis
Video: Mixing Problems
Video: Population Models
Heating and Cooling of Buildings
Electrical Circuits
Video: Electrical Circuits
Video: RL Circuits
Video: RC Circuits