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. Prerequisites: a minimum grade of C in MATH 2110 or MATH 2111 Note: Students will receive credit for only one of MATH 3170 or MATH 2670.
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. Prerequisites: a minimum grade of C in MATH 2110 or MATH 2111 Note: Students will receive credit for only one of MATH 3170 or MATH 2670.
