Advanced Calculus II

Course content

Double Integrals, polar coordinates. Improper double integrals. Change of variables in double integrals. Triple Integrals: Cylindrical and spherical coordinates. Applications. Line integrals: Parametrisation of curves, Greens Theorem. Independence of path, exact differentials. Parametrisation and orientation of surfaces. Surface Integrals. Divergence and Stokes Theorems, applications.