0 or 4 credits
Fall 2025 Recitation Lecture Distance Learning Credit By ExaminationDepartmental CreditLower DivisionQuantitative Reasoning
Planes, lines, and curves in three dimensions. Differential calculus of several variables; multiple integrals. Introduction to vector calculus. Not open to students with credit in MA 27100.
Learning Outcomes1Know the equations for lines, planes and quadric surfaces in three dimensional space, and understand how these equations relate to the geometry.
2Understand the relationship between vector functions and parametrized motion; know how to calculate velocity, acceleration, arc length and curvature.
3Know the meaning of partial derivatives and how to calculate them. Know the multivariable chain rule.
4Know the meaning of the gradient, how to calculate it, and how to apply it to directional derivatives and maximum and minimum values.
5Understand the meaning of double and triple integrals; know how to compute them and how to apply them.
6Understand the meaning of vector fields and line integrals. Know Green's theorem and be able to apply it.
7Understand the meaning of surface integrals and know how to calculate them. Know Stokes' theorem and be able to apply it.
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