Specialist Mathematics Study Notes

This area of study covers proof, complex numbers, and their properties, including arithmetic, algebraic and geometric representations, and the solution of equations over the complex field.

This area of study covers rational and other quotient functions, their graphs, properties, and transformations, as well as the use of parametric and polar representations.

This area of study covers advanced differentiation and integration, including techniques and applications, as well as differential equations and their solutions.

This area of study covers the algebra and geometry of vectors in two and three dimensions, including scalar and vector products, and applications to geometry and kinematics.

This area of study covers kinematics and dynamics in one and two dimensions, including motion under constant acceleration, projectile motion, and circular motion.

This area of study covers statistical inference, including sampling distributions, confidence intervals, and hypothesis testing.

This area of study covers further applications of differentiation and integration, including improper integrals, differential equations, and mathematical modelling with calculus.

This area of study covers further applications of vectors to geometry and mechanics, including three-dimensional problems, forces, equilibrium, and motion in a plane.

This area of study covers further work in kinematics and dynamics, including systems of particles, energy, and momentum.

This area of study covers further work in statistical inference, including hypothesis testing, confidence intervals, and applications to real data.