1. Algebra & Functions

1.1 Rational Expressions

1.1.1 Rational Expressions

1.1.2 Top Heavy Rational Expressions

1.2 Functions

1.2.1 Language of Functions

1.2.2 Composite Functions

1.2.3 Inverse Functions

1.2.4 Modulus Functions - Sketching Graphs

1.2.5 Modulus Functions - Solving Equations

1.3 Combinations of Transformations

1.3.1 Combinations of Transformations

2. Trigonometry

2.1 Reciprocal & Inverse Trigonometric Functions

2.1.1 Reciprocal Trig Functions - Definitions

2.1.2 Reciprocal Trig Functions - Graphs

2.1.3 Trigonometry - Further Identities

2.1.4 Inverse Trig Functions

2.2 Compound & Double Angle Formulae

2.2.1 Compound Angle Formulae

2.2.2 Double Angle Formulae

2.2.3 R addition formulae Rcos Rsin etc

2.2.4 Modelling with Trigonometric Functions

2.3 Further Trigonometric Equations

2.3.1 Strategy for Further Trigonometric Equations

2.4 Trigonometric Proof

2.4.1 Trigonometric Proof

3. Logs & Exponentials

3.1 Exponential & Logarithms

3.1.1 e & ln

3.1.2 Derivatives of Exponential Functions

3.2 Modelling with Exponentials & Logarithms

3.2.1 Exponential Growth & Decay

3.2.2 Using Exps & Logs in Modelling

3.2.3 Using Log Graphs in Modelling

4. Differentiation

4.1 Further Differentiation

4.1.1 Differentiating Other Functions (Trig, ln & e etc)

4.1.2 Chain Rule

4.1.3 Product Rule

4.1.4 Quotient Rule

4.1.5 Differentiating Reciprocal and Inverse Trig Functions

5. Integration

5.1 Further Integration

5.1.1 Integrating Other Functions (Trig, ln & e etc)

5.1.2 Reverse Chain Rule

5.1.3 f'(x)/f(x)

5.1.4 Integrating with Trigonometric Identities

6. Numerical Methods

6.1 Numerical Methods

6.1.1 Change of Sign

6.1.2 Change of Sign Failure

6.1.3 x = g(x) Iteration