Mathematics AS

A Level in Mathematics (AS) 8371

By the end of your course, you will be able to work with complex functions and understand how to calculate forces in mechanics. You will cover topics such as geometry, calculus, trigonometry and algebra and gain the ability to manipulate figures, and use abstract reasoning and logic in problem solving.

Format of Course
There are many modules that make up A-Level Mathematics. Oxford College offers the main modules as follows:

• Core 1
• Core 2
• Mechanics 1
• Core 3
• Core 4
• Mechanics 2

The first three modules constitute AS Level and the later three modules are A2 Level.
Each module is presented separately. The content of the modules have references to Edexcel Modular Mathematics textbooks, which will need to be purchased in conjunction with the course.
The course builds up understanding of key mathematical concepts gradually and sequentially. Topics such as differentiation and integration are covered in all the Core modules and form part of the essential mathematical toolkit needed for higher study.

For each module there are two or three formal tutor-marked assessments which, when completed, should be sent to your tutor, via e-mail or conventional post.
All of the information within the units is written in line with the requirements of the Edexcel examination board specification and the demands of the examination. All units are broken down into clear subject topics, and students should spend the amount of time studying for each topic as advised by their course tutor. Each topic module has been written for ease of understanding and topic coverage may be of different length and difficulty depending on the level of detail and information required. You will need to study the modules in the sequence provided.

The AS and A2 modules link together and assessment is all done by examination as there is no coursework option.

Mathematics has a distinct vocabulary, notation and terminology all of its own - for many mathematics is a language. You are expected not only to recognise and understand notation and vocabulary in examination papers, but use them correctly in your answers. If you have problems remembering these it is a good idea to write them on index cards or to develop a file of key words as you go along in order to help you learn them.

AS Level

Module 1 - Core Mathematics 1

Topics included:

• Algebra and functions
• Quadratic functions
• Equations and inequalities
• Sketching curves
• Coordinate geometry in the (x, y) plane
• Sequence and series
• Differentiation
• Integration

Module 2 - Core Mathematics 2

Topics included:

• Algebra and functions
• The sine and cosine rules
• Exponentials and logarithms
• Coordinate geometry in the (x, y) plane
• The binomial expansion
• Radian measure and its application
• Geometric sequences and series
• Graphs of trigonometric functions
• Trigonometrical identities and simple equations
• Intergration

Module 3 - Mechanics 1

Topics included:

• Mathematical models in mechanics
• Kinematics of particles
• Dynamics of particles
• Statics of a particle
• Moments
• Vectors

A Level


Module 4 - Core 3

Topics included:

• Algebraic fractions
• Functions
• The exponential and log functions
• Numerical methods
• Transforming graphs of functions
• Trigonometry: looking at the secant, cosecant and cotangent
• Differentiation: using the various rules for complex functions

Module 5 - Core 4

Topics included:

• Partial fractions
• The binomial expansion
• Coordinate geometry in the (x, y) plane
• Vectors
• Differentiation
• Integration

Module 6 - Mechanics 2

Topics included:

• Kinematics of a particle moving in a straight line or plane
• Centres of mass
• Work, energy and power
• Collisions
• Statics of rigid bodies

Additional Information
You will also require the following text books for your course:

• Core 1 Edexcel AS Mathematics
• Core 2 Edexcel AS Mathematics
• Mechanics 1 Edexcel AS Mathematics