International A Level Mathematics Distance Learning Online Course

Description

This International A Level Mathematics provides the techniques in Algebra, Geometry, Trigonometry and Calculus that form the fundamental building blocks of further study in a variety of subjects including Science and Engineering. You will also find this course extremely valuable if you are looking for a progression route for further training whilst employed.

International A Level Mathematics CAIE exams can be taken in June and November (Also March for India).

International A Level Mathematics Edexcel Exams can be taken in January and June (Some units are available in October).

Support

The course will be delivered online including Tutor Support for two years. All assignments are marked by one of our professional Tutors who will offer regular feedback and guide you through your course. Postal assignments cannot be accepted without prior permission from the tutor and you must have access to email in order to contact your Tutor.

Throughout your course, you'll have the support of a Tutor to guide you. Additionally, you can reach out to the Student Support Team for help with any other questions you may have. You can be assured that you will receive unlimited support for your home study course, so there is no need to struggle or feel isolated during your studies.

Assessment

The course contains a number of assignments which your tutor will mark and give you valuable feedback on. You will also have access to a range of online resources.

Students will be required to arrange and pay for their examinations at an approved centre when an examination forms part of the course. We can provide an extensive list of these centres for you.

Whats included?

Students will be provided with logins for the student portal where they will find all the study materials they need to complete their course. They will also be provided with an e-textbook to assist them in completing their assignments.

Students will be provided with a Tutor who will help guide them through their course, and their Tutor will expect them to submit a number of assignments in order that their progress can be monitored. These assignments will be graded for them and feedback provided. You will also be able to ask the Tutor any questions about the course or for more help if needed. Once their course has been completed, they will then be allocated practice exam papers to ensure that they are familiar with the procedure and layout of their exams. Learners will be expected to complete these under exam conditions (i.e.. stick to the time scales allowed and try to find somewhere quiet), their Tutor can then provide them with a grade and feedback. More practice papers can be provided if required.

Difference between Cambridge & Edexcel Exam Boards

Cambridge and Edexcel A Levels are international qualifications. Cambridge A-Levels can be taken worldwide including the United Kingdom, whereas Edexcel A-Levels can only be taken outside of the United Kingdom. Both exam boards offer a similar specification however different courses can have a different structure. Both the Cambridge and Edexcel courses are full A Level qualifications.

For the sciences, (biology, chemistry and physics) there are some differences between the specifications. With Edexcel all of the specification is taught in theory and as a result you will be assessed by written exam papers, including the practical element. If you sat the sciences with Cambridge, you will have to perform the practical element at a nearby centre, and this is not optional.

Fees

Course fees for payment in full include:

Assessment and feedback on all assignments.
Access to your personal Tutor via our online portal.
Access to a range of online resources, student materials, assessments, assignments, eBooks etc
Practice exam papers to prepare you for the real thing.
Help with UCAS application if attending University.
Tutor references and predicted grades once a satisfactory amount of work has been completed.
Help finding an exam centre for you to sit your exam.

Cambridge Exam Board

Awarding Body: Cambridge

Course Code: 9709

Exams: June and November (March in India only)

Study Hours: 300 – 360 hours

This International A’ Level Mathematics Course with Cambridge develops a set of transferable skills. These include the skill of working with mathematical information, as well as the ability to think logically and independently, consider accuracy, model situations mathematically, analyse results and reflect on findings.

Learners can apply these skills across a wide range of subjects and these skills will equip you well for progression to higher education or directly into employment.

The key concepts for Cambridge International AS & A Level Mathematics are:

Problem solving

Mathematics is fundamentally problem solving and representing systems and models in different ways. These include:

Algebra: this is an essential tool which supports and expresses mathematical reasoning and provides a means to generalise across a number of contexts.
Geometrical techniques: algebraic representations also describe a spatial relationship, which gives us a new way to understand a situation.
Calculus: this is a fundamental element which describes change in dynamic situations and underlines the links between functions and graphs.
Mechanical models: these explain and predict how particles and objects move or remain stable under the influence of forces.
Statistical methods: these are used to quantify and model aspects of the world around us. Probability theory predicts how chance events might proceed, and whether assumptions about chance are justified by evidence.

Communication

Mathematical proof and reasoning is expressed using algebra and notation so that others can follow each line of reasoning and confirm its completeness and accuracy. Mathematical notation is universal. Each solution is structured, but proof and problem solving also invite creative and original thinking.

Mathematical modelling

Mathematical modelling can be applied to many different situations and problems, leading to predictions and solutions. A variety of mathematical content areas and techniques may be required to create the model. Once the model has been created and applied, the results can be interpreted to give predictions and information about the real world.

Modules:

Pure Mathematics 1 (Paper 1)

Quadratics
Functions
Coordinate geometry
Circular measure
Trigonometry
Series
Differentiation
Integration

Pure Mathematics 2 (Paper 2)

Algebra
Logarithmic and exponential functions
Trigonometry
Differentiation
Integration
Numerical solution of equations

Pure Mathematics 3 (Paper 3)

Algebra
Logarithmic and exponential functions
Trigonometry
Differentiation
Integration
Numerical solution of equations
Vectors
Differential equations
Complex numbers

Mechanics (Paper 4)

Forces and equilibrium
Kinematics of motion in a straight line
Momentum
Newton’s laws of motion
Energy, work and power

Probability & Statistics 1 (Paper 5)

Representation of data
Permutations and combinations
Probability
Discrete random variables
The normal distribution

Probability & Statistics 2 (Paper 6)

The Poisson distribution
Linear combinations of random variables
Continuous random variables
Sampling and estimation
Hypothesis tests

There are six components that can be combined in specific ways (please see below for details):

Paper 1: Pure Mathematics 1

Paper 2: Pure Mathematics 2

Paper 3: Pure Mathematics 3

Paper 4: Mechanics

Paper 5: Probability & Statistics 1

Paper 6: Probability & Statistics 2

All AS Level candidates take two written papers. All A Level candidates take four written papers.

The Cambridge International AS Level Mathematics qualification offers three different options:

Pure Mathematics only (Paper 1 and Paper 2) or

Pure Mathematics and Mechanics (Paper 1 and Paper 4) or

Pure Mathematics and Probability & Statistics (Paper 1 and Paper 5)

Please note, the Pure-Mathematics-only option (Paper 1 and Paper 2) leads to an AS Level only and cannot be used as a staged route to a full A Level. Candidates who have taken Paper 1 and Paper 2 at AS Level and then wish to complete a full A Level would need to retake Paper 1 alongside three other components. These should be chosen from the specific combinations below.

The Cambridge International A Level Mathematics qualification offers two different options:

Pure Mathematics, Mechanics and Probability & Statistics (Papers 1, 3, 4 and 5) or

Pure Mathematics and Probability & Statistics (Papers 1, 3, 5 and 6).

Please note, it is not possible to combine Paper 4 and Paper 6. This is because Paper 6 depends on prior knowledge of the subject content for Paper 5.

Exam Papers

Paper 1: Pure Mathematics 1

Written Examination: 1 hour 50 minutes

Availability: June and November (March in India)

Assessment overview: 10 to 12 structured questions based on the Pure Mathematics 1 subject content

75 marks

Paper 2: Pure Mathematics 2

Time: 1 hour 15 minutes

Availability: June and November (March in India)

Assessment overview: 6 to 8 structured questions based on the Pure Mathematics 2 subject content

50 marks

Paper 3: Pure Mathematics 3

Written examination: 1 hour 50 minutes

Availability: June and November (March in India)

Assessment overview: 9 to 11 structured questions based on the Pure Mathematics 3 subject content

75 marks

Paper 4: Mechanics

Practical examination: 1 hour 15 minutes

Availability: June and November (March in India)

Assessment overview: 6 to 8 structured questions based on the Mechanics subject content.

50 marks

Paper 5: Probability and Statistics 1

Practical examination: 1 hour 15 minutes

Availability: June and November (March in India)

Assessment overview: 6 to 8 structured questions based on the Probability and Statistics 1 subject content.

50 marks

Paper 6: Probability and Statistics 2

Practical examination: 1 hour 15 minutes

Availability: June and November (March in India)

Assessment overview: 6 to 8 structured questions based on the Probability and Statistics 2 subject content.

50 marks

Edexcel Exam Board

Awarding Body: Edexcel

Specification Codes:

Edexcel International AS in Mathematics (XMA01)

Edexcel International A Level in Mathematics (YMA01)

Edexcel Exams: January, June and October

Edexcel Study Hours: 300 – 360 hours

The purpose of this course, based on the syllabus is to enable students to:-

Develop their understanding of mathematics and mathematical processes in a way that promotes confidence and foster enjoyment.
Develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs.
Extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems.
Develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected.
Recognise how a situation may be represented mathematically and understand the relationship between ‘real-world’ problems and standard and other mathematical models and how these can be refined and improved.
Use mathematics as an effective means of communication
Read and comprehend mathematical arguments and articles concerning applications of mathematics.
Acquire the skills needed to use technology such as calculators and computers effectively, recognise when such use may be inappropriate and be aware of limitations.
Develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general.
Take increasing responsibility for their own learning and the evaluation of their own mathematical development.

All AS Level candidates take three written papers. The Unit options are as follows:

Pure Mathematics ( P1 and P2) and Mechanics ( M1)

Pure Mathematics (P1 and P2) and Statistics (S1)

All A Level candidates take six written papers. The unit options are as follows:

Pure Mathematics (P1, P2, P3 and P4) with Mechanics (M1) and Statistics (S1)

Pure Mathematics (P1, P2, P3 and P4) with Mechanics (M1 and M2)

Pure Mathematics (P1, P2, P3 and P4) with Statistics (S1 and S2)

Modules:

Pure Mathematics 1

Algebra and functions
Coordinate geometry in the (x, y)
Trigonometry
Differentiation
Integration

Pure Mathematics 2

Proof
Algebra and functions
Coordinate geometry in the (x, y) plane
Sequences and series
Exponentials and logarithms
Trigonometry
Differentiation
Integration

Pure Mathematics 3

Algebra and functions
Trigonometry
Exponentials and logarithms
Differentiation Integration
Numerical methods

Pure Mathematics 4

Proof
Algebra and functions
Coordinate geometry in the (x, y) plane
Binomial expansion
Differentiation
Integration
Vectors

Mechanics 1

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

Mechanics 2

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

Statistics 1

Mathematical models in probability and statistics
Representation and summary of data
Probability; correlation and regression
Discrete random variables
Discrete distributions
The Normal distribution

Statistics 2

The Binomial and Poisson distributions
Continuous random variables
Continuous distributions
Samples
Hypothesis tests