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

vectorsmathematical 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 bodiesmathematical models in probability and statistics

representation and summary of data

probability

correlation and regression

discrete random variables

discrete distributions

the Normal distributionStudent 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