Part 1 Useful facts and exercises: manipulative algebra; quadratic equations; partial functions; surds and surd equations; arithmetic progressions; geometric progressions; the remainder theorem; radian measure; the sine rule and the cosine rule; trigonometric identities; trigonometric equations; trigonometry in three dimensions; the straight line; indices and logarithms; log-log and other straight-line graphs; permutations and combinations; the binomial theorem; inequalities; simultaneous equations - one linear and one second degree; miscellaneous equations; induction; differentiation - simple differentiation; products and quotients; trigonometric functions; logarithmic and exponential functions; implicit functions; parameters; rate of change; stationary values - curve sketching; problems involving maxima and minima; the circle; further coordinate geometry - the parabola, other curves; functions; integration - general integration including simple areas, trigonometric functions, exponential functions, areas and volumes, inverse trigonometric functions, integration by substitution, integration involving partial fractions, integration by parts, the trapezium rule, Simpson's rule; numerical solutions to equations - iterative methods, Newton-Raphson; complex numbers; vectors; differential equations where the variables separate. Part 2 Revision papers 1-10. Part 3 Past A-level questions, papers 1-15. Part 4 answers.
