Number and Algebra
SL 1.1—Using standard form
SL 1.2—Arithmetic sequences and series
SL 1.3—Geometric sequences and series
SL 1.4—Financial apps – compound interest, annual depreciation
SL 1.5—Intro to logs
SL 1.6—Simple proof
SL 1.7—Laws of exponents and logs
SL 1.8—Sum of infinite geo sequence
SL 1.9—Binomial theorem where n is an integer
AHL 1.10—Perms and combs, binomial with negative and fractional indices
AHL 1.11—Partial fractions
AHL 1.12—Complex numbers – Cartesian form and Argand diag
AHL 1.13—Polar and Euler form
AHL 1.14—Complex roots of polynomials, conjugate roots, De Moivre’s, powers & roots of complex numbers
AHL 1.15—Proof by induction, contradiction, counterexamples
AHL 1.16—Solution of systems of linear equations
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Question Type 1: Simple equation proofs
Question Type 2: Proving starting from the right-hand side
Question Type 3: Verifying the proof