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AS Level

Cambridge AS Mathematics

Summary of Cambridge AS Mathematics course content

Choose to learn everything you can about a universal language you discuss everywhere in the world. If numbers define your passion, you will develop critical thinking skills and can apply the notions to a range of other topics. Choose wisely your future career and combine Mathematics with other disciplines from the same study area for a well-rounded career.

Dive deep into advanced mathematical theories, problem-solving techniques, and critical thinking.

Start shaping your mathematical understanding for higher education and beyond today.

By studying this Cambridge International AS & A Level Mathematics 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

1

For Cambridge International AS Level Mathematics, candidates take two written papers.

2

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 & A-Level / (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 & A-Level / (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 fx-570ES Plus (or equivalent)

4. Integral Maths website subscription

Required textbook

  1. Cambridge International AS & A Level Mathematics: Pure Mathematics 1 Coursebook, Sue Pemberton, Julian Gilbey, ISBN 9781108407175. You can find the textbook here
  2. Cambridge International AS & A Level Mathematics: Probability & Statistics 1 Coursebook, Dean Chalmers, Julian Gilbey, ISBN 9781108407328. You can find the textbook here.

Course Code: 9709