Maths Qualifications

Summary of unit content

Unit

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration.

C1

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration.

C2

Algebra and functions; trigonometry; exponentials and logarithms; differentiation; numerical methods.

C3

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors.

C4

Summary of unit content

Unit

Series; complex numbers; numerical solution of equations; coordinate systems, matrix algebra, proof.

FP1

Inequalities; series, first order differential equations; second order differential equations; further complex numbers, Maclaurin and Taylor series.

FP2

Further matrix algebra; vectors, hyperbolic functions; differentiation; integration, further coordinate systems.

FP3

Summary of unit content

Unit

Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments.

M1

Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies.

M2

Further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies.

M3

Relative motion; elastic collisions in two dimensions; further motion of particles in one dimension; stability.

M4

Applications of vectors in mechanics; variable mass; moments of inertia of a rigid body; rotation of a rigid body about a fixed smooth axis.

M5

Summary of unit content

Unit

Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.

S1

The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests.

S2

Combinations of random variables; sampling; estimation, confidence intervals and tests; goodness of fit and contingency tables; regression and correlation.

S3

Quality of tests and estimators; one-sample procedures; two-sample procedures.

S4

Summary of unit content

Unit

Algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming; matchings.

D1

Transportation problems; allocation (assignment) problems; the travelling salesman; game theory; further linear programming, dynamic programming; flows in networks.

D2