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# Further Mathematics

Qualification:

A Level
Level:

3 **Exam Board: **Pearson

Duration:

2 years ### Course Content:

Doing Further Mathematics A-Level at Alton College you will study:

**Core Pure:**

- Discover new concepts such as complex numbers (how do you solve
*x*^{2 }+ 4 = 0?) and matrices (used in computer animation). Together these ideas can be used to create fractals. - Use calculus to model the populations of snowshoe hares and Canadian lynxes with differential equations. And also use calculus to prove that the volume of a sphere really is
^{4}/_{3}*πr*^{3}. - Vector equations of lines and planes; and hyperbolic functions (what does the hyp button on your calculator do?)

**Mechanics:**

- Momentum (used in collisions), Hooke’s Law (for springs), and Work, Energy & Power (how fast can a car drive up a hill?).

**Further Pure:**

- Use conics to model the path of comets and understand why satellite dishes are parabolic.
- Use L’Hospital’s rule to evaluate (sin
*x*)/*x*as*x*approaches 0.

And much more besides!

### Assessment:

100% exams; consisting of 4 papers, each 1½ hours long.

### Studying at Alton College:

### Entry requirements:

Students should normally have achieved at least five GCSEs at grade 9-4. For GCSEs which remain with the old grading system, a Grade 4 is equivalent to a Grade C.

For A level Further Maths you must have at least grade 7 or higher in GCSE Maths (higher tier). You must also do A level Maths.

### Course costs:

Student Course Materials: £5 each year.

New calculator: £23 - £87, depending on the scientific/graphical model.

### Further Mathematics works well with:

Mathematics

Physics

Computing

Engineering

Economics

Chemistry

Biology

Business

Electronics

Geography