MATH 3170

The concept of a definite integral is extended to double and triple integrals and the calculus of vector fields are studied. Topics include triple integrals in rectangular, cylindrical and spherical coordinates, general change of variables in double and triple integrals, vector fields, line integrals, conservative fields and path independence, Green's theorem, surface integrals, Stokes' theorem and the divergence theorem, with applications in physics.