Chapter 1 Algebraic Methods

1.1 Algebraic Operations With Algebraic Fractions
1.2 Improper fractions
Chapter Review 1

Chapter 2 Functions And Graphs

2.1 The Modulus Function

2.2 Functions and Mapping

2.3 Composite Functions

2.4 Inverse Functions

2.5 y={f(x)} and y=f({x})

2.6 Combining Transformations

2.7 Solving Modulus Problems

Chapter Review 2

Chapter 3 Trigonometric Functions

3.1Secant Cosecant and Cotangent

3.2 Graph of Sec x Cosec x and Cot x

3.3 Using Sec x Cosec x and Cot x

3.4 Trigonometric Identities

3.5 Inverse Trigonometric Functions

Chapter Review 3

Chapter 4 Trigonometric Addition Formulae

4.1 Addition Formulae

4.2 Using the angle Addition formulae

4.3 Double Angle Formulae

4.4 Solving Trigonometric Equations

4.5 Simplifying a cos x +-b sin x

4.6 Proving Trigonometric Identities

Chapter Review 4

Review Exercise 1

Chapter 5 Exponentials And Logarithms

5.1 Exponential Functions

5.2 y=e ax+b+c

5.3 Natural Logarithms

5.4 Logarithms and non-linear data

5.5 Exponential Modelling

Chapter Review 5

Chapter 6 Differentiation

6.1 Differentiating sin x and cos x

6.2 Differentiating exponentials and logarithms

6.3 The chain rule

6.4 The product rule

6.5 The quotient rule

6.6 Differentiating trigonometric functions

Chapter review 6

Chapter 7 Integration

7.1 Integrating standard functions

7.2 Integrating f(ax + b)

7.3 Using trigonometric identities

7.4 Reverse chain rule

Chapter review 7

Chapter 8 Numerical Methods

8.1 Locating roots

8.2 Fixed point iteration

Chapter review 8

Review Exercise 2