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May 03, 2026
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Undergraduate Catalog 2026-2027
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MAT 263 Calculus III Credits: (4)
The following topics are studied: vectors, vector functions, 3-dimensional analytic geometry, partial derivatives, total differentials, gradients, multiple integrals, line integrals, Green’s theorem, Stokes’s theorem. Prerequisite(s): MAT 162 .
Designation(s): Liberal Arts
Learning Outcomes
- Define and perform basic arithmetic, algebraic, and calculus operations on vectors and vector functions.
- Identify and write equations of lines, planes, and quadric surfaces in 3-dimensional space.
- Apply the above concepts and techniques in analyzing and solving problems in geometry and mechanics.
- Define and interpret the basic calculus concepts for functions of two or more variables.
- Evaluate partial derivatives, directional derivatives, total differentials, and multiple integrals.
- Apply the above concepts and techniques in analyzing and solving problems of extrema, geometry, and centers of mass.
- Evaluate line and surface integrals.
- Understand and apply Green’s theorem and Stoke’s theorem.
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