#### 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

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.

**Level**AS Level

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#### 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

- 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.

**Course Code: 9709**