### Course Overview

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.

Click here for our dedicated curriculum intent.

### Who is this course 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?

This course is assessed by exams.
**The Compulsory Units are: **

- 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

**The Optional Units are:**

**Mechanics**

- Dimensional Analysis
- Momentum and Collisions Work
- Energy and Power
- Circular Motion

**Statistics**

- Discrete Random Variables and Expectation
- Poisson Distribution
- Type 1 and Type 2 Errors
- Continuous Random Variables
- Chi Square Tests

**Discrete**

- Graphs
- Networks
- Network Flows
- Linear Programming
- Critical Path Analysis
- Game Theory for Zero Sum Games
- Binary Operations

### What skills will you develop?

Skills students will develop on this course include:

- Solve simultaneous equations in two variables by elimination and by substitution
- Problem Solving
- Teamwork
- 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
- 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
- Decision Making
- Communication
- Decision Making
- Time Management
- Develop Resilience
- 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

### Progression Routes

A Level

Course Leader:

Ian Thompson

Course Length:

Two Years

Entry Requirements:

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

How is the course assessed:

This course is assessed by exams.