## ABOUT THIS COURSE

This course is ideal for learners who have a strong ability in Maths and enjoy the challenge of problem-solving and abstract mathematical concepts. Further Maths will include matrices, polar coordinates, hyperbolic functions, momentum and collisions, circular motion, continuous random variables and chi squared tests.

There is the opportunity to take part in a national Mathematics competition as well as attending the popular Scary Maths classes that take place at lunchtime.

## COURSE AREA LEAD

Ian Thompson

## WHO IS THIS AIMED AT?

This course is aimed at students who:

Have enthusiasm for and an interest in Mathematics

Have natural ability at Mathematics

Enjoy the theoretical aspects of the subject, and are keen to pursue this theory to more abstract concepts

Are interested in a career which has a high mathematical or logical content

Enjoy problem-solving

Would like to progress in a Maths related career

## WHAT WILL YOU LEARN?

Complex Numbers

Matrices

Further Algebra and Functions

Further Calculus

Further Vectors

Polar Coordinates

Hyperbolic Functions

Coordinate Geometry

Differential Equations

Trigonometry and Numerical Methods

Binary Operations and Group Theory

Centres of Mass and Moments

Binary Operations and Group Theory

## WHAT SKILLS WILL YOU DEVELOP?

Understand and apply correlation coefficients as measures of how close data points lie to a straight line and be able to interpret a given correlation coefficient using a given p-value or critical value (calculation of correlation coefficients is excluded)

Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context

Solve equations using the Newton-Raphson method and other recurrence relations of the form xn+1 = g(xn)xn+1 = g(xn)

Understand how such methods can fail

Evaluate the analytical solution of simple first order differential equations with separable variables, including finding particular solutions

Interpret the solution of a differential equation in the context of solving a problem, including identifying limitations of the solution; includes links to kinematics

Solve simultaneous equations in two variables by elimination and by substitution

Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem

Understand and use graphs of functions; sketch curves defined by simple equations including polynomials

Interpret algebraic solution of equations graphically; use intersection points of graphs to solve equations

Model motion under gravity in a vertical plane using vectors; projectiles

## PROGRESSION ROUTES

Finance and Accounting

Business and Finance

Financial Advisor

Lecturer

Statistician

Research and Development Manager

Business Analyst

Research Scientist

Statistician

Logistics

Maths Teacher

Director

Manager

Engineer

Computer programmer

Actuary