ABOUT THIS COURSE
This course is ideal for learners who have a strong ability in Maths and enjoy the challenge of problem-solving and abstract mathematical concepts. Further Maths will include matrices, polar coordinates, hyperbolic functions, momentum and collisions, circular motion, continuous random variables and chi squared tests.
There is the opportunity to take part in a national Mathematics competition as well as attending the popular Scary Maths classes that take place at lunchtime.
COURSE AREA LEAD
James Brough
WHO IS THIS AIMED AT?
This course is aimed at students who:
Have enthusiasm for and an interest in Mathematics
Have natural ability at Mathematics
Enjoy the theoretical aspects of the subject, and are keen to pursue this theory to more abstract concepts
Are interested in a career which has a high mathematical or logical content
Enjoy problem-solving
Would like to progress in a Maths related career
WHAT WILL YOU LEARN?
Complex Numbers
Matrices
Further Algebra and Functions
Further Calculus
Further Vectors
Polar Coordinates
Hyperbolic Functions
Coordinate Geometry
Differential Equations
Trigonometry and Numerical Methods
Binary Operations and Group Theory
Centres of Mass and Moments
Binary Operations and Group Theory
WHAT SKILLS WILL YOU DEVELOP?
Understand and apply correlation coefficients as measures of how close data points lie to a straight line and be able to interpret a given correlation coefficient using a given p-value or critical value (calculation of correlation coefficients is excluded)
Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context
Solve equations using the Newton-Raphson method and other recurrence relations of the form xn+1 = g(xn)xn+1 = g(xn)
Understand how such methods can fail
Evaluate the analytical solution of simple first order differential equations with separable variables, including finding particular solutions
Interpret the solution of a differential equation in the context of solving a problem, including identifying limitations of the solution; includes links to kinematics
Solve simultaneous equations in two variables by elimination and by substitution
Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem
Understand and use graphs of functions; sketch curves defined by simple equations including polynomials
Interpret algebraic solution of equations graphically; use intersection points of graphs to solve equations
Model motion under gravity in a vertical plane using vectors; projectiles
PROGRESSION ROUTES
Finance and Accounting
Business and Finance
Financial Advisor
Lecturer
Statistician
Research and Development Manager
Business Analyst
Research Scientist
Statistician
Logistics
Maths Teacher
Director
Manager
Engineer
Computer programmer
Actuary