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
Probability
Practice Exams and SACs
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