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AS/A

Cambridge International AS & A Level Mathematics 9709

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

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.

Course code 9709
Level AS/A
Syllabus

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.