Unit 1 Further Pure Mathematics 1 – Pure Mathematics
This course includes an introduction to the imaginary number i and the study of complex numbers including solving quadratic, cubic and quartic equations and constructing loci in the argand diagram. You will solve problems using matrices, transformations, lines and planes in both two and three dimensions. You will learn about series and Proof By Induction.
Content: proof, complex numbers, matrices, further algebra and functions, further calculus and further vectors.
Unit 2 Decision Mathematics 1 – Applied Mathematics
Decision Mathematics is a relatively new discipline that is concerned with modelling and interpreting situations, using algorithms, networks and linear programming to find efficient solutions to problems. It has significant applications to computer programming and business models.
Content: algorithms and graph theory, algorithms on graphs, critical path analysis and linear programming.
Unit 3 Further Pure Mathematics 2 – Pure Mathematics
For this unit, you will study the application of complex numbers including de Moivre’s theorem, to find multiple angle formulae and sums of series. You will learn to use partial fractions to sum series and meet the Maclaurin series of a function. You will be introduced to polar coordinates and hyperbolic functions and learn to use differential equations to solve problems.
Content: further complex numbers, further algebra and functions, further calculus, polar coordinates, hyperbolic functions and differential equations.
Unit 4 Further Mechanics 1 – Applied Mathematics
This unit further develops the Mechanics taught for A Level Mathematics. We introduce momentum, impulse and collisions including Newton’s law of restitution and successive impacts. You will apply the Work-Energy principle to a variety of situations. This course is excellent preparation for engineering and applied Science courses.
Content: momentum and impulse, collisions, work and energy and elastic strings and springs.
- Problem Solving
- Algebraic Manipulation
- Computer Science
- Biochemical Sciences
- Natural Sciences
- Medical Sciences
How does this course link to other subjects?
For this course, it is a requirement that you also study Mathematics A Level. The following subjects complement the study of Mathematics: Physics, Chemistry, Biology, Economics, Business Studies, Geography, Computer Science, Design and Psychology.