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# FURTHER MATHS

A Level

Two Years

## ENTRY REQUIREMENTS

GCSE Grade 7 in Maths and an average GCSE points score of 5.9 or above.

## ASSESSMENT METHOD

This course is assessed by exams.

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.

James Brough

## 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

## Professional development

• Finance and Accounting

• Lecturer

• Statistician

• Research and Development Manager

• Research Scientist

• Statistician

• Logistics

• Maths Teacher

• Director

• Manager

• Engineer

• Computer programmer

• Actuary

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