The course can be taken as part of a full-time programme of study in conjunction with other AS subjects, or possibly with other Level 3 qualifications. Physics combines particularly well with maths, and the work on statistics will help with interpretation in several academic disciplines. Our staff will be happy to help you put together a programme most suited to your needs. The course can also be taken on a part-time basis by mature students.
Unit information
The course covers many aspects of mathematics, and is designed to develop both a broad and in-depth understanding of the subject, as well as enjoyment and achievement. The emphasis on mathematical modelling and context means that you will be able to recognise and use mathematics in numerous aspects of daily life. The models include the nature of distributions within statistics, and the effect of forces within kinematics. The course requires an excellent understanding of algebra and trigonometry, and will develop these topics and introduce others such as calculus, probability distributions and Newton’s laws.
Year 1 (AS) (40%)
U1 (Pure – 25%) : Quadratic and simultaneous equations, inequalities, completing the square, surds, trigonometric equations and proofs, coordinate and circle geometry, differentiation and turning points, curve sketching, integration and evaluating areas, the binomial theorem, vectors, logarithms and exponential functions and proofs.
U2 (Applied – 15%):
Sampling, statistical diagrams and measures, regression, rules of probability, Venn diagrams, the Binomial, Poisson and discrete Uniform distributions, Hypothesis testing and working with large data sets
Equations of motion, travel graphs, vertical motion, rectilinear motion, Newton’s laws, lifts and connected particles, pulleys and vectors within kinematics.
Year 2 (A2) (60%)
U3 (Pure – 35%) : Arithmetic and geometric progressions, further binomial expansion, partial fractions, arcs and sectors, reciprocal trig functions, derivative of trigonometric, exponential and logarithmic functions, differentiation of composite, product and quotient functions, composite angles, harmonic trig functions, modulus, sketching and transforming functions, implicit and parametric differentiation, points of inflection, integration by parts and by substitution, functions and their inverses, iterative methods, differential equations within geometry.
U4 (Applied – 25%):
The uniform and normal distributions, further hypothesis testing, correlation and causation, independence of events, conditional probability, Bayes’ theorem.
Resolving forces, equilibrium, friction, further pulley systems, motion in two dimensions, vector kinematics, vector calculus .
Forming, solving and modelling with differential equations