This course takes calculus from the two dimensional world of single variable functions into the three dimensional world, and beyond, of multivariable functions. Students explore the following topics: vector geometry and analytic geometry of lines, planes and surfaces; calculus of curves in two or three dimensions, including arc length and curvature; calculus of scalar-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; Lagrange multipliers and optimization problems; double integrals in rectangular and polar coordinates; triple integrals in rectangular, cylindrical and spherical coordinates; calculus of vector fields, including line integrals, curl and divergence, fundamental theorem for line integrals, and Green's theorem. Prerequisites: There are no prerequisites for the course, but a course in differential and integral calculus, such as MATH 1141 and MATH 1241 is recommended. Students should have done well in these courses in order to succeed in this difficult course. Note: Students cannot get credit for more than one of MATH 2110, MATH 2111.
This course takes calculus from the two dimensional world of single variable functions into the three dimensional world, and beyond, of multivariable functions. Students explore the following topics: vector geometry and analytic geometry of lines, planes and surfaces; calculus of curves in two or three dimensions, including arc length and curvature; calculus of scalar-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; Lagrange multipliers and optimization problems; double integrals in rectangular and polar coordinates; triple integrals in rectangular, cylindrical and spherical coordinates; calculus of vector fields, including line integrals, curl and divergence, fundamental theorem for line integrals, and Green's theorem. Prerequisites: There are no prerequisites for the course, but a course in differential and integral calculus, such as MATH 1141 and MATH 1241 is recommended. Students should have done well in these courses in order to succeed in this difficult course. Note: Students cannot get credit for more than one of MATH 2110, MATH 2111.
