Mathematics

Mathematics is a very popular subject at Westminster Tutors with a high success rate. Mathematicians seek out patterns to formulate new conjectures, the truth or falsity of which they resolve by mathematical proof. Both pure mathematics, that is mathematics for its own sake, and applied mathematics, such as statistics and mechanics, are taught, and students are able to choose the topics that suit and interest them. Mathematics is crucial in numerous fields, such as natural science, engineering, medicine, finance and the social sciences.


Specification

Although we offer all exam boards as our courses are individually designed, our chosen specification is Edexcel Mathematics (8371 and 9371) and Further Mathematics (8372 and 9372).



Course Outline

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
  • Series
  • Complex numbers
  • Numerical solution of equations
  • Coordinate systems
  • Matrix algebra
  • Proof
FP2
  • Inequalities
  • Series
  • First order differential equations
  • Second order differential equations
  • Further complex numbers
  • Maclaurin and Taylor series
FP3
  • Further matrix algebra
  • Vectors
  • Hyperbolic functions
  • Differentiation
  • Integration
  • Further coordinate systems

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
D2
  • Transportation problems
  • Allocation (assignment) problems
  • The travelling salesman
  • Game theory
  • Further linear programming
  • Dynamic programming
  • Flows in network

Assessment

AS Mathematics

C1
  • Non-calculator
  • 75 marks
  • 1 hour 30 minutes written paper
  • 33.3% of total AS
C2
  • 75 marks
  • 1 hour 30 minutes written paper
  • 33.3% of total AS
Optional Unit M1, S1 or D1
  • 75 marks
  • 1 hour 30 minutes written paper
  • 33.3% of total AS

A level Mathematics

C1
  • Non-calculator
  • 75 marks
  • 1 hour 30 minutes written paper
  • 16.67% of total A level
C2
  • 75 marks
  • 1 hour 30 minutes written paper
  • 16.67% of total A level
C3
  • 75 marks
  • 1 hour 30 minutes written paper
  • 16.67% of total A level
C4
  • 75 marks
  • 1 hour 30 minutes written paper
  • 16.67% of total A level
Optional Units M1 and S1, M1 and D1, S1 and D1, S1 and S2, M1 and M2 or D1 and D2
  • 75 marks (x2)
  • 1 hour 30 minutes written paper (x2)
  • 16.67% of total A level (x2)

AS Further Mathematics

FP1
  • 75 marks
  • 1 hour 30 minutes written paper
  • 33.3% of total AS
Optional Units
  • Any two excluding C1-C4
  • 75 marks (x2)
  • 1 hour 30 minutes written paper (x2)
  • 33.3% of total AS (x2)

A level Further Mathematics

FP1
  • 75 marks
  • 1 hour 30 minutes written paper
  • 16.67% of total A level
Optional Units
  • FP2 or FP3 and any other four excluding C1-C4
  • 75 marks (x5)
  • 1 hour 30 minutes written paper (x5)
  • 16.67% of total A level (x5)

Tutors

  • Anthony Korte MA MSc PhD
  • Ben Pethybridge MSc
  • Ola Onalaja BEng PhD
  • Tom Hyatt MA
  • Tom Lees BSc MA