Engineering students see how the concepts of single-variable calculus are extended to higher dimensions using vectors. Topics include analytic geometry of lines, planes and surfaces; calculus of curves in two and three dimensions, including arc length and curvature; calculus of real-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; multi-variable Taylor approximations; optimization and Lagrange multipliers; double and triple integrals in rectangular coordinates and other coordinate systems; general variable changes in integrals; vector fields and gradient fields, curl and divergence. Prerequisite: A minimum grade of C in MATH 1230 and MATH 1300. Note: Students will receive credit for only one of MATH 2110, MATH 2111 or MATH 2650.
Engineering students see how the concepts of single-variable calculus are extended to higher dimensions using vectors. Topics include analytic geometry of lines, planes and surfaces; calculus of curves in two and three dimensions, including arc length and curvature; calculus of real-valued functions of several variables, including the gradient, directional derivatives and the Chain Rule; multi-variable Taylor approximations; optimization and Lagrange multipliers; double and triple integrals in rectangular coordinates and other coordinate systems; general variable changes in integrals; vector fields and gradient fields, curl and divergence. Prerequisite: A minimum grade of C in MATH 1230 and MATH 1300. Note: Students will receive credit for only one of MATH 2110, MATH 2111 or MATH 2650.
