Revise how to find the area above and below the x axis and the area between two curves by integrating, then evaluating from the limits of integration. Higher Maths - Applying integral calculus.

Cylindrical and spherical coordinates, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and ...

Differentiation of algebraic and trigonometric expressions can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a curve.

F10 12/16/10 Ross (Final Exam) all from 10/08 and 11/12 exams plus paths, arclength, line integrals, double integrals, surface integrals, fundamental theorem for path integrals, Green’s Theorem, ...