Mathematics

Course summary

Initially, students must attain a solid level of competence in the fundamentals of Pure mathematics, number and algebraic manipulation. This will include expanding brackets, simplifying terms, index notation, surds, solving quadratics and sketching polynomials. The pure course then progresses to cover: Proof, Algebra and functions, Coordinate geometry, Sequences and series, Trigonometry, Exponentials and Logarithms, Differentiation, Integration, Numerical methods and Vectors. The Mechanics modules cover some of the essentials of: • Kinematics including travel graphs, constant and variable acceleration, vertical movement and projectile problems. • Resolving forces including bodies in equilibrium, connected bodies such as pulleys, friction, moments, and particles on slopes. The major study areas of the Statistics modules cover: • Working with a large data set calculating statistical diagrams, measures of spread, standard deviation and correlation, outliers and cleaning data. • Probability including modelling probabilities, set notation, two-way tables, tree diagrams, analysing and modelling with Binomial and Normal distributions. • Conducting hypothesis tests for both Normal and Binomial distributions testing mean, sample mean, and correlation coefficients.