Ch 1 - A toolbox
- Trig
- Sequences/Series
- ellipses and hyperbolae
Ch 2 - Vectors
- 2/3 Dimensions
- Scalar Products
- Scalar/Vector Resolutes
- Vector proofs of geometric theorem

Ch 3 - Circular functions
- Cosec, Sec, Cot
- Trig Identities
- Compound/Double Angle Formulae
- Inverse Functions
Ch 4 - Complex Numbers
- Cartesian/Polar Form
- Argand Diagrams
- De Moivre's Theorem
- Factorising/Solving over C
Ch 5 - Revision of Chapters 1-4
Ch 6 - Differentiation and rational functions
- Differentiation
- Derivatives of inverse circular functions
- 2nd Derivatives
- Points of inflexion
Ch 7 - Antidifferentiation
- Integration
- Trig integration
- Partial Fractions
Ch 8 - Applications of integration
- Relationship between graph of a function and graphs of its antiderivatives
- Solids of revolution
Ch 9 - Differential Equations
- Solving differential equations
- Constructing differential equations
- Euler's Method
Ch 10 - Kinematics
- Rectilinear motion using calculus
- Using differential equations
Ch 11 - Revision of chapters 6-10
Ch 12 - Vector functions
- Vector equations
- vector functions
- Vector calculus
Ch 13 - Dynamics
- Newton's Laws
- Friction
Ch 14 - Revision of chapters 12 and 13