# A-Level Mathematics (9709) – P3

The Cambridge International A-Level mathematics course provides detailed coverage of some of the key topics in mathematics. It lays a thorough foundation for the mathematical component of tertiary-level studies in science, engineering, actuarial science and other mathematically-based fields of study, and is essential for any student wishing to pursue one of these fields at university or college. In certain countries the A-Level mathematics course will prepare you adequately for mathematics at tertiary level; in others you will be required to complete the full A-Level programme.

The A-Level syllabus requires students to choose two out of a possible four papers:

- P3 – Pure mathematics 3 (compulsory)
- M1 – Mechanics 1
- S1 – Statistics 1

The Cambridge International Pure Maths 3 course covers a number of fundamental topics in mathematics, including:

- Algebra
- Logarithmic and exponential functions
- Trigonometry
- Differentiation
- Integration
- Numerical solution of equations
- Binomial Theorems
- Vectors
- Differential equations
- Complex numbers

Any further studies in mathematics will be greatly facilitated by a thorough grasp of these concepts.

It is important to note that examination questions tend to combine a number of concepts. It is therefore important that you go beyond the skill of solving problems that test a single concept in isolation, and develop the ability to draw on a number of different concepts at once in order to solve problems you have not seen before. Of course, this is a skill which is important for life in general, and for your future professional life as well; it is not only required to do well in formal exams!

### Lessons

- Carry out addition and subtraction of vectors and multiplication of a vector by a scalar
- Calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors
- Determine whether two lines are parallel,
- Use formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points.