1. Proof

1.1 Proof

1.1.1 Language of Proof

1.1.2 Proof by Deduction

1.1.3 Proof by Exhaustion

1.1.4 Disproof by Counter Example

2. Algebra & Functions

2.1 Polynomials

2.1.1 Polynomial Division

2.1.2 Factor & Remainder Theorem

2.1.3 Factorisation

3. Coordinate Geometry

3.1 Circles

3.1.1 Equation of a Circle

3.1.2 Finding the Centre & Radius

3.1.3 Bisection of Chords

3.1.4 Angle in a Semicircle

3.1.5 Radius & Tangent

4. Sequences & Series

4.1 Binomial Expansion

4.1.1 Binomial Expansion

4.2 Arithmetic Sequences & Series

4.2.1 Arithmetic Sequences

4.2.2 Arithmetic Series

4.3 Geometric Sequences & Series

4.3.1 Geometric Sequences

4.3.2 Geometric Series

4.4 Sequences & Series

4.4.1 Language of Sequences & Series

4.4.2 Sigma Notation

4.4.3 Recurrence Relations

4.5 Modelling with Sequences & Series

4.5.1 Modelling with Sequences & Series

5. Logs & Exponentials

5.1 Laws of Logarithms

5.1.1 Exponential Functions

5.1.2 Logarithmic Functions

5.1.3 Laws & Change of Base

5.1.4 Exponential Equations

6. Trigonometry

6.1 Trigonometric Equations

6.1.1 Trigonometry - Simple Identities

6.1.2 Linear Trigonometric Equations

6.1.3 Quadratic Trigonometric Equations

6.1.4 Strategy for Trigonometric Equations

7. Differentiation

7.1 Applications of Differentiation

7.1.1 Increasing & Decreasing Functions

7.1.2 Stationary Points & Turning Points

7.1.3 Sketching Gradient Functions

7.1.4 Modelling with Differentiation inc. Optimisation

8. Integration

8.1 Integration

8.1.1 Definite Integration

8.1.2 Area Under a Curve

8.1.3 Area between a curve and a line

8.1.4 Area between 2 curves

8.1.5 Trapezium Rule (Numerical Integration)