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