TMUA
Topics
These topics cover the training scope of TMUA. Open a topic for study guidance and worked examples.
Numerical values, units, bounds, proportion and growth/decay
Equations, inequalities, polynomials, composite functions
Lines, circles, circle theorems, radians and trigonometric equations
MM6/MM7: differentiation and integration of rational powers and their sums and differences, trapezium rule; differentiation of exponentials/trigonometric functions and general differential equations are not required.
M6/M7: data representation, mean, median and mode, interquartile range, basic probability and expected frequency; variance or random-variable distributions are not required.
Direct proof, proof by cases, proof by contradiction, counterexamples, and necessary/sufficient conditions; mathematical induction is not required.
Recursion, systematic enumeration and combinatorial counting