Chapter 1 Algebraic Methods

1.1 Algebraic Operations With Algebraic Fractions
1.2 Surds
Chapter Review 1

Chapter 2 Functions And Graphs

2.1 The Modulus Function
2.2 Composite Functions
2.3 Inverse Functions
2.4 Sketching Functions
2.5 Modelling With Functions
2.6 Solving Modulus Problems
Chapter Review 2

Chapter 3 Trigonometric Functions

3.1 Sine, Cosine And Tangent
3.2 The Sine Rule, Cosine Rule, And Area Of A Triangle
3.3 Graphs Of Sine, Cosine, And Tangent
3.4 Trigonometric Identities
3.5 Reverse Trigonometric Identities
Chapter Review 3

Chapter 4 Trigonometric Addition Formulae

4.1 Addition Formulae
4.2 The Sine Rule Addition Formulae
4.3 The Cosine Rule Addition Formulae
4.4 Solving Trigonometric Equations
4.5 Applications
Review Exercise 1

Chapter 5 Exponentials And Logarithms

5.1 Exponential Functions
5.2 Natural Logarithms
5.3 Laws Of Logs And Log-Linear Models
5.4 Exponential Modelling
Chapter Review 5

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Chapter 6 Differentiation

6.1 Differentiation Of Axⁿ And Exponential Functions
6.2 The Chain Rule
6.3 The Product Rule
6.4 The Quotient Rule
6.5 The Second Derivative
6.6 Applications Of Differentiation
Chapter Review 6

Chapter 7 Integration

7.1 Integration Standard Functions
7.2 Functions Of The Form Axⁿ
7.3 Trigonometric Integration

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Chapter 8 Numerical Methods

8.1 Approximate Point Iteration
8.2 Error Bounds
Review Exercise 2

Exam Practice
Glossary
Answers
Index