Differentiation of inverse, circular, exponential, logarithmic, hyperbolic and inverse hyperbolic functions; Leibnitz’s Theorem; application of differentiation to stationary points; asymptotes; graph sketching; differentials; L’Hospital rule; integration by substitution, by parts and by use of partial fractions; reduction formulae; applications of integration to plane areas, volumes and surfaces of revolution, arc length and moments of inertia; functions of several variables, partial