MATH 271 - Calculus III
Credit Hours: 4
Billable Contact Hours: 4
Prerequisites: A grade of C or better in MATH 172 , Calculus II, within the last three years is highly recommended
MTA Mathematics Satisfier Y
Session Cycle: FL
Topics include vector algebra and functions; analytic geometry of curves (Frenet-Serret equations), planes, surfaces, and solids; functions of several variables and partial derivatives, optimization problems, Lagrange multipliers; curl, divergence, and gradient; line, surface, and volume integrals; vector fields and integration; flux, Green’s theorem, Stokes’ theorem, and the divergence theorem. Students will be expected to work with mathematics numerically, graphically, analytically, and verbally.
Notes: Science/Mathematics Division
Theory Hours: 60
Learning Outcomes: 1. Represent equations for lines, planes (tangent planes), and surfaces using vectors.
2. Compute partial and total derivatives of multivariable and vector valued functions.
3. Solve multivariable optimization problems (Lagrange multipliers).
4. Compute line, flux, surface, and volume integrals using Cartesian, polar, and spherical coordinates.
5. Be able to apply Green’s, Stokes’, and the divergence theorem to appropriate problems.
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