MAT205 — Calc & Analytic Geometry III 4 Hours
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 Greens Theorem surface integrals the Divergence Theorem and Stokess 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