The concepts of single-variable calculus are extended to higher dimensions by using vectors as variables. Topics include vector geometry and the 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. Prerequisites: MATH 1230 with a minimum grade of C or MATH 1240 with a minimum grade of C or MATH 1241 with a minimum grade of C. Note: Students will get credit for only one of MATH 2110, MATH 2111 or MATH 2650.
The concepts of single-variable calculus are extended to higher dimensions by using vectors as variables. Topics include vector geometry and the 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. Prerequisites: MATH 1230 with a minimum grade of C or MATH 1240 with a minimum grade of C or MATH 1241 with a minimum grade of C. Note: Students will get credit for only one of MATH 2110, MATH 2111 or MATH 2650.
