A-level Further Mathematics

A Level

Online

Price on request

Description

  • Type

    A Level

  • Methodology

    Online

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Course programme

Core Mathematics

  • C1 Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration.
  • C2 Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration.
  • C3 Algebra and functions; trigonometry; exponentials and logarithms; differentiation; numerical methods.
  • C4 Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors.

Further Pure Mathematics

  • FP1 Inequalities; series; complex numbers; numerical solution of equations; first order differential equations; second order differential equations; polar coordinates.
  • FP2 Coordinate systems; hyperbolic functions; differentiation; integration.
  • FP3 Complex numbers; matrix algebra; vectors; Maclaurin and Taylor series; numerical methods; proof.

Mechanics

  • M1 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.
  • M2 Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies.
  • M3 Further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies.
  • M4 Relative motion; elastic collisions in two dimensions; further motion of particles in one dimension; stability.
  • M5 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

  • S1 Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.
  • S2 The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests.
  • S3 Combinations of random variables; sampling; estimation, confidence intervals and tests; goodness of fit and contingency tables; regression and correlation.
  • S4 Quality of tests and estimators; one-sample procedures; two-sample procedures

Decision Mathematics

  • D1 Algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming; matchings; flows in networks.
  • D2 Transportation problems; allocation

Additional information

Payment options: A-level Further Mathematics £1250 Combined AS/A2 in one year in one subject £1495

A-level Further Mathematics

Price on request