# Mathematics A Level at Kingsmead School

## Course description

**Core Mathematics**

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

**Further Pure Mathematics**

Series; Complex numbers; numerical solution of equations;Coordinate systems; matrix algebra; proof; Inequalities; first order differential equations; second order differential equations; further complex numbers; Maclaurin and Taylor series; further matrix algebra; vectors, hyberbolic functions; differentiation; integration, further coordinate systems.

**Mechanics**

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; kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies; further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies; relative motion; elastic collisions in two dimensions; further motion of particles in one dimension; stability; applications of vectors in mechanics; variable mass; moments of inertia of a rigid body; rotation of a rigid body about a fixed smooth axis.

**Statistics**

Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the normal distribution; the Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests; combinations of random variables; sampling; estimation, confidence intervals and tests; goodness of fit and contingency tables; regression and correlation; quality of tests and estimators; one-sample procedures; two-sample procedures.

**Decision Mathematics**

Algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming; matchings; transportation problems; allocation (assignment) problems; the travelling salesman; game theory; further linear programming; dynamic programming; flows in networks.

## Entry requirements

GCSE grade B or above is the standard requirement for this level of study. Students study a variety of units, following pathways to their desired qualification.

## How to apply

If you want to apply for this course, you will need to contact Kingsmead School directly.