MATHEMATICS

COURSE DESCRIPTION:

This course is part of the A-level Programme and part of the Engineering and Sciences Foundation Programme. The course is a prerequisite for admission to degree courses in Engineering, Science, Economics and other Business courses. Teaching is done by normal classes and is supported by downloadable lecture notes which include practical examples of problem solving.

RECOMMENDED BOOKS:

Edexcel AS and A Level Modular Mathematics: Core Mathematics 1 by Keith Pledger and Dave Wilkins, 2008
Edexcel AS and A Level Modular Mathematics: Core Mathematics 2 by Keith Pledger and Dave Wilkins, 2008
Edexcel AS and A Level Modular Mathematics: Core Mathematics 3 by Keith Pledger and Dave Wilkins, 2008
Edexcel AS and A Level Modular Mathematics: Core Mathematics 4 by Keith Pledger, 2009
Edexcel AS and A Level Modular Mathematics: Mechanics 1 by Ms Susan Hooker and Mr Michael Jennings, 2008
Edexcel AS and A Level Modular Mathematics: Statistics 1 Keith Pledger et al and Alan Clegg, 2008

COURSE OUTLINE:

Algebra and functions
coordinate geometry in the (x, y) plane
sequences and series
exponentials and logarithms
trigonometry
introductory differentiation
introductory integration
further algebra and functions
binomial sequences and series
iterative methods
further trigonometry
exponentials and logarithms
transformations
further differentiation
parametric functions
further integration
differential equations
numerical methods
vectors

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 and equilibrium of rigid bodies

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

Student taking mathematics A-level have the option of taking other optional units such as M2 or S2 or even D1 which are taught as part fo the Further Mathematics Syllabus