# A Level Further Maths Revision Course Content

Our A Level Maths Easter Revision Course and May Half Term Revision Courses cover the entire A Level Maths syllabus and are divided up over four days as follows:

Day 1

1. Matrices
• Determinants and Inverses
• 2d and 3d Matrix Transformations
• Solving Simultaneous Equations
• Invariant Lines and Points
2. Proof By Induction
• Divisibility
• Summations
• Inductive Sequences
• Matrices
3. Complex Numbers
• Complex Roots of Polynomials
• Modulus and Argument
• Loci and the Argand Diagram
• Exponential Form of Complex Numbers
• DeMoivre’s Theorem
• Summing Series
• Nth Roots of a Complex Number

Day 2

1. Roots of Polynomials
• Relationship Between Coefficients and Roots
• Transforming Polynomials
2. Further Calculus
• Maclaurin Series
• Mean Value of a Function
• Volumes of Revolution
• Improper Integrals
• Partial Fractions
• Choosing a Suitable Substitution
3. Hyperbolic Functions
• Hyperbolic Identities
• Inverse Hyperbolic Functions
• Differentiation and Integration
4.  Polar Coordinates
• Sketching Functions in Polar Form
• Converting Between Polar and Cartesian Form
• Area Enclosed by a Polar Curve

Day 3

1. Further Vectors
• Equations of Straight Lines in 3d
• Scalar (Dot) and Vector (Cross) Products
• Planes and Intersection
• Standard Formulae
2. Differential Equations
• First Order Differential Equations (The Integrating Factor Method)
• Second Order Differential Equations
• Homogeneous SODEs
• Nonhomogeneous SODEs
• Simple Harmonic Motion
• Damped and Forced Harmonic Motion
• Coupled First Order Simultaneous Equations.
• Reduction to SODEs
• Predator-prey Models

### Testimonials

Don't just take our work for it; read some of the testimonials from former students and parents of former students who have benefited from the course.

### Request Phone Call

If you would like to receive a phone call so that you can discuss your specific needs or the needs of your child then you can do so by clicking the button below.

### Book A Place

Booking is easy; simply choose the particular course that suits your needs, make payment via our secure payment system powered by PayPal then your place is secure.