Summary of course content
By studying this Cambridge International AS & A Level course candidates will:
 develop their mathematical knowledge and skills in a way which encourages confidence and provides satisfaction and enjoyment
 develop an understanding of mathematical principles and an appreciation of mathematics as a logical and coherent subject
 acquire a range of mathematical skills, particularly those which will enable them to use applications of mathematics in the context of everyday situations and of other subjects they may be studying
 develop the ability to analyse problems logically
 recognise when and how a situation may be represented mathematically, identify and interpret relevant factors and select an appropriate mathematical method to solve the problem
 use mathematics as a means of communication with emphasis on the use of clear expression
 acquire the mathematical background necessary for further study in mathematics or related subjects.
Candidates for Cambridge International AS Level Mathematics study the following topics:
1. Pure Mathematics 1

 Quadratics
 Functions
 Coordinate geometry
 Circular measure
 Trigonometry
 Series
 Differentiation
 Integration
2. Pure Mathematics 2
 Algebra
 Logarithmic and exponential functions
 Trigonometry
 Differentiation
 Integration
 Numerical solution of equations
3. Pure Mathematics 3
 Algebra
 Logarithmic and exponential functions
 Trigonometry
 Differentiation
 Integration
 Numerical solution of equations
 Vectors
 Differential equations
 Complex numbers
4. Mechanics
 Forces and equilibrium
 Kinematics of motion in a straight line
 Momentum
 Newton’s laws of motion
 Energy, work and power
5. Probability & Statistics 1
 Representation of data
 Permutations and combinations
 Probability
 Discrete random variables
 The normal distribution
6. Probability & Statistics 2
 The Poisson distribution
 Linear combinations of random variables
 Continuous random variables
 Sampling and estimation
 Hypothesis tests
How the course is assessed
For Cambridge International AS Level Mathematics, candidates take two written papers.
For Cambridge International A Level Mathematics, candidates take four written papers.
Guided Learning Hours
We design Cambridge International AS & A Level syllabuses based on learners having about 180 guided learning hours for each Cambridge International AS Level and about 360 guided learning hours for a Cambridge International A Level. The number of hours a learner needs to achieve the qualification may vary according to local practice and their previous experience of the subject.
Any special requirements
You may assume that all students have access to an Internet connection and a basic computing device such as a mobile phone or a tablet and basic writing materials such as notebooks and pens/pencils. If anything additional to this such as textbooks, a more powerful computing device or specific software or apps are required (including free software) then list the minimum requirements here.
1. Cambridge International AS & A Level Mathematics: Pure Mathematics 1 Coursebook
 Sue Pemberton, Julian Gilbey
 Publisher:Cambridge
 Year:U5 – U6
 Subject:Mathematics
 Curriculum:National UK
 Level:AS & ALevel / (Advanced) Higher
 Exam boards:Cambridge Intl.
 Language:English
 Classoos code:10404
 Digitization:Live text
 Published:15/04/2018
 ISBN:9781108407175
 Hardcopy ISBN:9781108407144
2. Cambridge International AS & A Level Mathematics: Probability & Statistics 1 Coursebook
 Dean Chalmers, Julian Gilbey
 Publisher:Cambridge
 Year:U5 – U6
 Subject:Mathematics
 Curriculum:National UK
 Level:AS & ALevel / (Advanced) Higher
 Exam boards:Cambridge Intl.
 Language:English
 Classoos code:10407
 Digitization:Live text
 Published:15/04/2018
 ISBN:9781108407328
 Hardcopy ISBN:9781108407304
3. Calculator Casio fx570ES Plus (or equivalent)
4. Integral Maths website subscription
Required textbook
 Cambridge International AS & A Level Mathematics: Pure Mathematics 1 Coursebook, Sue Pemberton, Julian Gilbey, ISBN 9781108407175. You can find the textbook here
 Cambridge International AS & A Level Mathematics: Probability & Statistics 1 Coursebook, Dean Chalmers, Julian Gilbey, ISBN 9781108407328. You can find the textbook here.