# Further Mathematics Advanced Level

This resource package contains a number of resources which may be of interest to teachers and students of Further Mathematics at Advanced Level.

### Carom Maths

This resource contains a collection of 40 PowerPoint presentations that include activities, designed by Jonny Griffiths, to explore mathematics not found on the A Level syllabus. It is a useful reference for teachers who want to give students the opportunity of learning something new, as well as challenging, and contains original material.

### Further mathematics

This resource was intended to complete the two-year course for those studying Pure Mathematics and covers:

The triangle

Algebraic methods

Determinants; Linear equations

More advanced analytical geometry of the straight line and circle

Systems of circles

Complex numbers

Elementary theory of equations

The conics

De Moivre's theorem and simple applications

Finite series; mathematical induction

Expansions

Systematic integration; Properties of definite integrals

Further properties of plane curves

Algebraic geometry of the plane and straight line

The sphere

Partial differentiation

Revision papers

### Further elementary analysis

This resource was intended to complete a two-year Sixth Form course in Pure Mathematics. Its main focus is with the development and applications of calculus, together with the necessary parallel developments in other branches of mathematics and covers

Permutations and combinations; elementary probability

Logarithms, logarithmic and exponential functions

Power series; derivation and use of exponential, logarithmic and trigonometrical series

Finite algebraic series

Definite integration as a summation; geometrical applications

Further applications of definite integration

Solution of equations

Inequalities

Equations of a curve; elementary curve tracing

Analytical geometry; the straight line

The circle

The parabola

The ellipse

The hyperbola

Inverse circular and hyperbolic functions

Partial fractions and their applications

Further methods of integration and standard types of integral

Differential properties of plane curves; curvature

Differential equations

Complex numbers

Revision papers

### Further mathematics: revision papers

This resource was intended to complete the two-year course for those studying Pure Mathematics.

Revision papers - contains a selection of past examination papers which are a useful additional resource to prepare students for pure mathematics examinations.

Answers for each revision paper are also provided

### iSquared Magazine

This collection contains all twelve issues of iSquared magazine whose aim is to bring together a collection of articles that reflect the wide range of modern-day applications of mathematics.

Each magazine contains regular news items, a mathematical histories feature, puzzles, book reviews and the life of a great mathematician as well as special articles on cryptography, crowd dynamics, string theory, neuroscience, aerodynamics, mathematical finance, environmental modelling, operational research, public transportation, relativity, game theory and medical imaging, to name just a few of the topics.