Module 1 - Introduction to
Differential Equations
- Module 1-1 Introduction to
Differential Equations
- 1. Definitions and
Terminology - Part 1
- 2. Definitions and
Terminology - Part 2
- 3. Definitions and
Terminology - Part 3
- 4. Definitions and
Terminology - Part 4
- 5. Definitions and
Terminology - Part 5
- 6. Definitions and
Terminology - Part 6
- Module 1-2 Initial Value
Problems
- 1. Initial-Value Problems -
Part 1
- 2. Initial-Value Problems -
Part 2
- 3. Initial-Value Problems -
Part 3
- 4. Initial-Value Problems -
Part 4
- 5. Initial-Value Problems -
Part 5
Module 2 - Modeling with
First-Order Differential Equations
- Module 2-1-1 Solution Curves
Without A Solution
- 1. Solutions and Curves -
Part 1
- Module 2-1-2 Autonomous
First-Order DEs
- 1. Initial-Value Problems -
Part 1
- 2. Initial-Value Problems -
Part 2
- 3. Initial-Value Problems -
Part 3
- Module 2-2-1 Separable Variables
- 1. Separable Variables -
Part 1
- 2. Separable Variables -
Part 2
- 3. Separable Variables -
Part 3
- Module 2-3 Linear Equations
- 1. Linear Equations - Part 1
- 2. Linear Equations - Part 2
- 3. Linear Equations - Part 3
- 4. Linear Equations - Part 4
- 5. Linear Equations - Part 5
Module 3 – Linear Models
·Module 3 -
Modeling With First-Order Differential Equations
- 1. Modeling - Part 1
- 2. Modeling - Part 2
- 3. Modeling - Part 3
- 4. Modeling - Part 4
- 5. Modeling - Part 5
- 6. Modeling - Part 6
- 7. Modeling - Part 7
Module 4 - Higher Order DE
·Module 4-1 -
Linear Differential Equations - Basic Theory
o
1. Linear DE - Part 1
- 2. Linear DE - Part 2
- 3. Linear DE - Part 3
- Module 4-2 - Homogeneous
Equations
- 1. Homogeneous DE - Part 1
- 2. Homogeneous DE - Part 2
- Module 4-3 - Homogeneous
Differential Equations With Constant Coefficients
- 1. Homogeneous DE With
Constant Coefficients - Part 1
- 2. Homogeneous DE With
Constant Coefficients - Part 2
- 3. Homogeneous DE With
Constant Coefficients - Part 3
- 4. Homogeneous DE With
Constant Coefficients - Part 4
- 5. Homogeneous DE With
Constant Coefficients - Part 5
- 6. Homogeneous DE With
Constant Coefficients - Part 6
- 7. Homogeneous DE With
Constant Coefficients - Part 7
- Module 4-4 - Undetermined
Coefficients - Superposition Approach
- 1. Undetermined Coefficients
- Part 1
- 2. Undetermined Coefficients
- Part 2
- 3. Undetermined Coefficients
- Part 3
- 4. Undetermined Coefficients
- Part 4
- 5. Undetermined Coefficients
- Part 5
- 6. Undetermined Coefficients
- Part 6
- 7. Undetermined Coefficients
- Part 7
- 8. Undetermined Coefficients
- Part 8
- 9. Undetermined Coefficients
- Part 9
Module 5 - Modeling With
Higher-Order Differential Equations
- Module 5 - Modeling With
Higher-Order Differential Equations
- 1 Modeling With
Higher-Order DEs - Part 1
- 2. Modeling With
Higher-Order DEs - Part 2
- 3. Modeling With
Higher-Order DEs - Part 3
- 4. Modeling With
Higher-Order DEs - Part 4
- 5. Modeling With
Higher-Order DEs - Part 5
- 6. Modeling With
Higher-Order DEs - Part 6
- 7. Modeling With
Higher-Order DEs - Part 7
- 8. Modeling With
Higher-Order DEs - Part 8
Module 6 - The Laplace Transform
- Module 6-1 - Definition of the
Laplace Transform
- 1. Definition - Part 1
- 2. Definition - Part 2
- 3. Definition - Part 3
- Module 6-2 - Inverse Transforms
and Transforms of Derivatives