MATH 209 — Calculus & Analytic Geometry III
Topics include (but are not limited to) the following: geometry of the three-dimensional space; equations and graphs of quadratic surfaces; vectors in 2 and 3 dimensions, vector operations; lines and planes in space; calculus of vector valued functions, curvature of curves, Frenet frame vectors, planes, and lines; functions of more than one variable, partial derivatives; the differential, directional derivatives, gradients; extreme values and saddle points of functions of two variables; double and triple integrals, evaluation and applications; using substitution methods that include cylindrical, spherical coordinates, as well as more general transformations. Evaluation of double, and triple integration; line integrals, and their applications; fundamental theorem of line integrals; Green’s theorem; surface integrals, and their applications; Stokes’ theorem; divergence theorem. Writing assignments, as appropriate to the discipline, are part of the course.
Part of
- Associate in Engineering Science Print Options Apply Now Request Information College(s): Richard J. Daley Harold Washington Harry S Truman Wilbur Wright Program Code: 0100
- General Education Core Curriculum (GECC) Credential Print Options Apply Now Request Information College(s): Richard J. Daley Harold Washington Kennedy-King Malcolm X Olive-Harvey Harry S Truman Wilbur Wright Program Code: 0005