UNIT 1: Combinatorics, proof, vectors and matrices

• Topic 1: Combinatorics
• Topic 2: Introduction to proof
• Topic 3: Vectors in the plane
• Topic 4: Algebra of vectors in two dimensions
• Topic 5: Matrices

UNIT 2: Complex numbers, further proof, trigonometry, functions and transformations

• Topic 1: Complex numbers
• Topic 2: Complex arithmetic and algebra
• Topic 3: Circle and geometric proofs
• Topic 4: Trigonometry and functions
• Topic 5: Matrices and transformations

UNIT 3: Further complex numbers, proof, vectors and matrices

• Topic 1: Further complex numbers
• Topic 2: Mathematical induction and trigonometric proofs
• Topic 3: Vectors in two and three dimensions
• Topic 4: Vector calculus
• Topic 5: Further matrices

UNIT 4: Further calculus and statistical inference

• Topic 1: Integration techniques
• Topic 2: Applications of integral calculus
• Topic 3: Rates of change and differential equations
• Topic 4: Modelling motion
• Topic 5: Statistical inference