MA 26100 - Multivariate Calculus

Prerequisite(s): MA 16400 FOR LEVEL UG WITH MIN. GRADE OF C- OR MA 16900 FOR LEVEL UG WITH MIN. GRADE OF C-

Credit Hours: 4.00. Continuation of MA 16300 (MA 16700) and MA 16400 (MA 16900). Parametric equations and calculus, solid analytic geometry, vector functions, differential and integral calculus of functions of two or more variables, and an introduction to vector calculus with applications. Typically offered Fall Spring Summer.
Course Learning Outcomes
1. Know the equations for lines, planes and quadric surfaces in three dimensional space, and understand how these equations relate to the geometry. 2. Understand the relationship between vector functions and parametrized motion; know how to calculate velocity, acceleration, arc length and curvature. 3. Know the meaning of partial derivatives and how to calculate them. Know the multivariable chain rule. 4. Know the meaning of the gradient, how to calculate it, and how to apply it to directional derivatives and maximum and minimum values. 5. Understand the meaning of double and triple integrals; know how to compute them and how to apply them. 6. Understand the meaning of vector fields and line integrals. Know Green’s theorem and be able to apply it. 7. Understand the meaning of surface integrals and know how to calculate them. Know Stokes’ theorem and be able to apply it.

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