  BACK TO COURSES
AS Level

# Mathematics

#### Summary of 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.

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

• 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.

Level AS Level
1850

#### 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