# Further Maths

A level Further Maths is offered for the most able mathematicians and those who wish to develop a deeper mathematical understanding. When studying this course, the students are introduced to interesting new areas of pure mathematics such as complex numbers, matrices and develop further their knowledge in both statistics and Mechanics

### Content

There are 5 taught lessons per week with a 2/3 split between two teachers. The expectation is that students will also carry out 4/5 hours of private study. This will take the format of some assessed assignments, textbook exercises and individual study to consolidate understanding as the course progresses. Students will be assigned online access to any relevant textbooks and to the integral Maths website.

#### Year 12

**Autumn Term 1:**

- Compex Numbers
- Complex Numbers and Geometry
- Matrices and transformations
- Matrices and their inverses

**Autumn Term 2:**

- Discrete Random variables
- Roots of polynomials
- Revision for interim assessments

**Spring Term 1:**

- Discrete probability distributions
- Sequences and series
- Vectors and 3D spaces

**Spring Term 2:**

- Bivariate data

**Summer Term 1:**

- Chi Squared tests
- Revision for year 12 Assessments

**Summer Term 2:**

- Continuous Random Variable
- Vectors

#### Year 13

**Autumn Term 1:**

- Probability and Bayes Theorem
- Expectation Algebra and the normal distribution
- Matrices
- Series and proof by induction

**Autumn Term 2:**

- Confidence intervals and hypothesis testing
- Further Calculus
- Revision for year 13 mocks

**Spring Term 1:**

- Simulation
- Applications of integration
- Forces
- Polar co ordinate

**Spring Term 2:**

- Work energy and Power
- Impulse and momentum
- Maclaurin Series
- Hyperbolic functions

**Summer Term 1:**

- Centre of Mass
- Dimensional Analysis
- Differential Equations

**Summer Term 2:**

- Revision for A level exams
- Vectors

### Assessment

At the end of each topic there will be an assessed homework and an in-class assessment. The students will be expected to attain a minimum of 40%. If this is not achieved then they will be asked to resit.

Any students who find further maths too demanding for whatever reason would be encouraged to take the AS Further Maths qualification meaning they would only study one year of the syllabus so that they can concentrate on this content and also A level Maths. We offer a great deal of support is offered to the students.