VCE Mathematical Methods

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.

Table of Contents

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

Practice Exams and SACs

Exam One, Practice Exam #1