# Mathematics

Dr John Snel teaches the Mathematics course at KYS International School. He obtained his degree in Mathematics and Music Technology at the National University of Ireland, Maynooth, and proceeded to do a PhD in the perception of emotion in speech at the Dublin Institute of Technology. He has several years experience performing as an assistant lecturer in Radio and Journalism, while also providing private Math tuitions. He prides himself in teaching mathematics effectively and creatively.

Math is seen all around us, in almost every facet of life, and it is the key language to all the sciences. It possesses not only truth, but also supreme beauty. From the course, students will acquire a deeper understanding of mathematical principles, will be able to determine and utilize appropriate methods to solve mathematical problems, and develop proficiency in critical and logical thinking. Having mathematical skills are valued by employers across many job sectors. These jobs include: actuary, mathematics teacher, operations research analyst, statistician, physician, research scientist, computer scientist, economist, civil engineer, and many more . In today’s data-driven economy, having good math skills offers a huge variety of career opportunities.

Math is seen all around us, in almost every facet of life, and it is the key language to all the sciences. It possesses not only truth, but also supreme beauty. From the course, students will acquire a deeper understanding of mathematical principles, will be able to determine and utilize appropriate methods to solve mathematical problems, and develop proficiency in critical and logical thinking. Having mathematical skills are valued by employers across many job sectors. These jobs include: actuary, mathematics teacher, operations research analyst, statistician, physician, research scientist, computer scientist, economist, civil engineer, and many more . In today’s data-driven economy, having good math skills offers a huge variety of career opportunities.

#### MATHEMATICS AS & A2 (9709)

Cambridge International AS & A2 Level Mathematics is accepted internationally as proof of mathematical knowledge and understanding.

Successful candidates gain lifelong skills, including:

Successful candidates gain lifelong skills, including:

- a deeper understanding of mathematical principles
- the further development of mathematical skills including the use of applications of mathematics in the context of everyday situations and in other subjects that they may be studying
- the ability to analyze problems logically, recognizing when and how a situation may be represented mathematically
- the use of mathematics as a means of communication
- a solid foundation for further study.

The syllabus allows Centres to choose the route to AS and A Level Mathematics. Students may choose to take the Advanced Subsidiary (AS) qualification only.

AS Level students will study and be assessed in pure mathematics and mechanics. Topics covered include the following

AS Level students will study and be assessed in pure mathematics and mechanics. Topics covered include the following

#### Pure Mathematics 1 (P1)

- Quadratics
- Functions
- Coordinate geometry
- Circular measure
- Trigonometry

- Vectors
- Series
- Differentiation
- Integration

#### Mechanics 1 (M1)

- Forces and equilibrium
- Kinematics of motion in a straight line
- Newton’s laws of motion
- Energy, work and power

#### Pure Mathematics 3 (P3)

- Algebra
- Logarithmic and exponential functions
- Further trigonometry
- Further differentiation
- Further integration

- Numerical solution of equations
- Further vectors
- Differential equations
- Complex numbers

#### Mechanics 2 (M2)

- Motion of a projectile
- Equilibrium of a rigid body
- Uniform motion in a circle
- Hooke’s law
- Linear motion under a variable force

#### Assessment objectives

The abilities assessed in the examinations cover a single area: technique with application.

The examination will test the ability of candidates to:

The examination will test the ability of candidates to:

- understand relevant mathematical concepts, terminology and notation;
- recall accurately and use successfully appropriate manipulative techniques;
- recognize the appropriate mathematical procedure for a given situation;
- apply combinations of mathematical skills and techniques in solving problems;
- present mathematical work, and communicate conclusions, in a clear and logical way.

Paper 1 (P1) AS

Type of paper: About 10 shorter and longer questions

Duration: 1 hour 45 minutes

Marks: 75

Weighting AS: 60%

Weighting A2: 30%

Paper 4 (M1) AS

Type of paper: About 7 shorter and longer questions

Duration: 1 hour 15 minutes

Marks: 50

Weighting AS: 40%

Weighting A2: 20%

Paper 3 (P3) A2

Type of paper: About 10 shorter and longer questions

Duration: 1 hour 45 minutes

Marks: 75

Weighting A2: 30%

Paper 5 (M2) A2

Type of paper: About 7 shorter and longer questions

Duration: 1 hour 15 minutes

Marks: 50

Weighting A2: 20%