VCE Mathematical Methods

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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.

[edit] Functions, Graphs and Algebra

[edit] Polynomials

Polynomials
Linear Functions
Parabolic Functions
Cubic Functions
Quartic Functions

[edit] Other Functions

Hyperbola Function
Truncus Function
Square Root Function
Modulus Function

[edit] Exponential and Logarithmic Functions

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

[edit] Circular Functions

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

[edit] Combining Graphs

Sum and difference functions
Product and quotient functions
Composite functions

[edit] Inverse Functions

Inverse Relations
Inverse Equations
Inverse functions

[edit] Calculus

Differentiation from First Principles
Differentiation by Rule

[edit] Probability

[edit] Practice Exams and SACs

Exam One, Practice Exam #1

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