Calculus Iii

AY2016/2017 Semester 1

Parametric equations, polar coordinates. Vector-valued functions, calculus of vector-valued functions, solid analytic geometry. Functions of more than one variable, limits, continuity, partial derivatives, differentiability and total differential, chain rule, Implicit Function Theorem. Directional derivatives, gradients, Lagrange multipliers. Double integrals, area of a surface, triple integrals. Line integrals, Green's Theorem, surface integrals, Gauss' divergence theorem, Stokes' Theorem.