Course Description
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. NCC Home Learning 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 1Topics 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 2Topics 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 1Topics included:
Mathematical models in mechanics
Kinematics of particles
Dynamics of particles
Statics of a particle
Moments
Vectors
A Level
Module 4 – Core 3Topics 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 4Topics included:
Partial fractions
The binomial expansion
Coordinate geometry in the (x, y) plane
Vectors
Differentiation
Integration
Module 6 – Mechanics 2Topics 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
All by Keith Pledger et al. Published by Heinemann
Previous Knowledge Required
GCSE Mathematics at Grade C.
Support
Learning documentation, plus priority Tutor support for 1 year. Students are required to arrange and pay for their examinations themselves. Students must check the relevant examination board website for final examination sitting dates for this syllabus. You will receive priority tutor assistance for fast track students on this course. Students will be able to sit a full A Level examination in one year or less. Examinations take place in January and Summer (May/June) yearly.
Assessment
See Above.
Modules
Awarding Body
Edexcel, a Pearson company, is the UK's largest awarding body offering academic and vocational qualifications and testing to schools, colleges, employers and other places of learning in the UK and internationally.