#### Course Materials

Lessons

#### Introductory Differential Calculus

- First Principles
- Definition of Rates of Change
- Average Rates of Change
- Instantaneous Rates of Change
- Differentiation of Constant Functions
- Differentiation of Linear Functions
- Methods of Differentiation
- Differentiation of Rational Functions
- Differentiation of Rational Powers
- Differentiation of Polynomial Functions
- Differentiation of a Function in Terms of x

#### Differentiation of Trigonometric Functions

- Differentiation of Sine Function : Chain Rule
- Differentiation of Sine Function : Product Rule
- Differentiation of Sine Function : Quotient Rule
- Differentiation of Cosine Function : Chain Rule
- Differentiation of Cosine Function : Product Rule
- Differentiation of Cosine Function : Quotient Rule
- Differentiation of Tangent Function
- Differentiation of Degrees
- Applications of Differentiation
- Small Angles

#### Logarithmic Functions

- Definition of Logarithms
- Addition
- Subtraction
- Indices
- Zero Value
- Unity
- Changing the Base
- Equations involving Logarithms
- Simplifying Logarithms in base 10
- Finding Exponents using Logarithms in base 10
- Equations involving Logarithms in base 10
- Interchangeable Logarithmic Forms
- Simplifying involving any Bases
- Equivalent Natural Logarithms
- Equations involving Natural Logarithms