Retired 12/31/2008: The following description is representative of the three-course Calculus sequence.Analytic geometry topics include coordinate systems, lines and line segments, distance between points, line sketching, equations and graphs of conic sections, transformation of coordinates, translations and rotations, parametric equations, polar coordinates and equations, vectors in 2 and 3 dimensions, vector operations, planes and lines in space, surfaces and quadric surfaces, cylindrical and spherical coordinates and space curves*. Calculus topics include complex numbers and notation; limits and continuity; definition of derivative, rate of change and slope; derivatives of polynomial and rational functions; the chain rule; implicit differentials; approximation by differentials; higher order derivatives; Rolle's theorem and mean-value theorem; applications of the derivative; anti-derivative; the definite integral; the fundamental theorem of calculus; area, volume and other applications of the integral; the calculus of the trigonometric functions; logarithmic and exponential functions; techniques of integration, including numerical methods; indeterminate forms and L'Hospital's rule; improper integrals; sequences and series, convergence tests, and Taylor series; functions of more than 1 variable; partial derivatives; the differential; directional derivatives; gradients; double and triple integrals; and evaluation and applications. (Starred topics are optional, though generally included for maximum semester credits.) Prerequisite: Math placement test.