MAT 205Calc & Analytic Geometry III

Catalog

The elementary ideas concerning conic sections, polar curves, and vector-valued and multivariate functions are covered. These topics include: area, arc length and tangents for polar curves. In addition, vectors, vector derivatives, curvature and motion in two and three space are studied. The multivariate concepts of differentiability, partial differentiation, gradient vectors, LaGrange multipliers, finding relative extreme values, and multiple integration are studied. The course also includes material on vector fields, line integrals, independence of path, Green's Theorem, surface integrals, the Divergence Theorem, and Stokes's Theorem. Prerequisite: MAT 204 with a grade of C or higher. Semester Hour(s): 4 hour(s) Lecture / Lab Hours: 4 lec/week Illinois Articulation Initiative (IAI): M1 900-3, MTH 903