About
You will learn to develop an understanding of the rigour and technical accuracy needed for more advanced study of mathematics. You will learn basic concepts in kinematics, statics and dynamics which underlie the study of mechanics and you will become more adept in the skills of statistical analysis.
What will I learn?
- Complex Numbers
- Roots and coefficients of polynomial equations up to quartic equations
- Matrices
- Proof by induction
- Geometrical problems
- Sums of series
- Maclaurin series including awareness of validity
- Vectors
- Calculus
- Integration where integrand extends to infinity
- Volumes of revolution
- Mean value of a function
- Integration
- Polar coordinates including area enclosed by polar curve
- Hyperbolic functions
- First and Second Order differential equations
- Simple harmonic motion equation
Where could this subject take me?
Further mathematics introduces new topics such as matrices and complex numbers that are vital in many STEM degrees.
If you are planning to take a degree such as engineering, sciences, computing, or economics, or perhaps mathematics itself, you may benefit from taking further mathematics, at least to AS level.