This book aims to cover the Victorian Certificate of Education (Australia) Unit 3 and 4 Mathematical Methods course, offering exercises, worked examples, explanations and practice exams.

### Functions, Graphs and Algebra.

#### Polynomials

- Polynomials
- Linear Functions
- Parabolic Functions
- Cubic Functions
- Quartic Functions

#### Other Functions

- Hyperbola Function
- Truncus Function
- Square Root Function
- Modulus Function

#### Exponential and Logarithmic Functions

- Indices
- Indicial Equations
- Euler's Number
- Logarithms
- Logarithmic Equations
- Exponential Graphs
- Logarithmic Graphs

#### Circular Functions

- Unit Circle
- The Sine Function
- The Cosine Function
- The Tangent Function
- Solving Trigonometric Equations

#### Combining Graphs

- Sum and difference functions
- Product and quotient functions
- Composite functions

#### Inverse Functions

- Inverse Relations
- Inverse Equations
- Inverse functions

### Calculus

Differentiation from First Principles

Differentiation by Rule