IAL Maths (Edexcel) notes

Topic D1.1 · Algorithms: sorting, searching and packing

Topic D1.2 · Graphs, minimum spanning trees and Dijkstra

Topic D1.3 · Route inspection and the travelling salesperson

Topic D1.4 · Critical path analysis

Topic D1.5 · Linear programming

Topic M1.1 · Modelling and vectors in mechanics

Topic M1.2 · Kinematics in a straight line

Topic M1.3 · Dynamics: Newton's laws, connected particles and friction

Topic M1.4 · Momentum and impulse

Topic M1.5 · Statics of a particle

Topic M1.6 · Moments

Topic M2.1 · Projectiles

Topic M2.2 · Variable acceleration and vectors with calculus

Topic M2.3 · Centres of mass

Topic M2.4 · Work, energy and power

Topic M2.5 · Collisions and restitution

Topic M2.6 · Statics of rigid bodies

Topic P1.1 · Indices, surds and quadratics

Topic P1.2 · Simultaneous equations and inequalities

Topic P1.3 · Polynomials, curve sketching and transformations

Topic P1.4 · Straight-line graphs

Topic P1.5 · Trigonometry: triangles, radians and graphs

Topic P1.6 · Differentiation

Topic P1.7 · Integration

Topic P2.1 · Proof and algebraic division

Topic P2.2 · Coordinate geometry of circles

Topic P2.3 · Sequences and series

Topic P2.4 · The binomial expansion

Topic P2.5 · Exponentials and logarithms

Topic P2.6 · Trigonometric identities and equations

Topic P2.7 · Stationary points and optimisation

Topic P2.8 · Definite integration, areas and the trapezium rule

Topic P3.1 · Algebraic fractions and functions

Topic P3.2 · Modulus and transformations of graphs

Topic P3.3 · Reciprocal and inverse trigonometric functions

Topic P3.4 · Compound angles, double angles and R-form

Topic P3.5 · Exponential and logarithmic functions

Topic P3.6 · Differentiation: chain, product and quotient rules

Topic P3.7 · Integration of standard functions

Topic P3.8 · Numerical methods

Topic P4.1 · Proof by contradiction and partial fractions

Topic P4.2 · Parametric equations

Topic P4.3 · The binomial series

Topic P4.4 · Implicit differentiation and rates of change

Topic P4.5 · Integration by substitution, by parts and with partial fractions

Topic P4.6 · Volumes of revolution

Topic P4.7 · Differential equations

Topic P4.8 · Vectors in two and three dimensions

Topic S1.1 · Representing data

Topic S1.2 · Measures of location and dispersion

Topic S1.3 · Probability

Topic S1.4 · Correlation and regression

Topic S1.5 · Discrete random variables

Topic S1.6 · The Normal distribution

Topic S2.1 · Binomial and Poisson distributions

Topic S2.2 · Continuous random variables

Topic S2.3 · Continuous uniform distribution and Normal approximations

Topic S2.4 · Sampling and hypothesis testing