# Question Library

We currently have three broad categories of questions, designed for use in our 3rd, 4th, and 5th quarters of the 5 quarter Calculus sequence.  Each question is typeset with graphics on an individual .PDF slide.   They are sized to be displayed correctly on classroom projection screens using a PDF viewer (such as Adobe Acrobat Reader) in full screen mode and are available for download either as individual slides or in batches.

## Questions for MAT 116 Analytic Geometry and Calculus III

• Indeterminate forms, parametric equations, polar coordinates, sequences, series, improper integrals, integral test, comparison test, limit comparison test, alternating series test, strategies for testing series, sequences and series review, power series, power series representations, Taylor polynomials, Taylor series

## Questions for MAT 214 Calculus of Several Variables I

• Three dimensional coordinate systems, vectors, the dot product, the cross product, equations of lines and planes, cylinders and quadric surfaces, vector functions and space curves, derivatives and integrals of vector functions, arc length and curvature, motion in space: velocity and acceleration, functions of several variables, limits and continuity, partial derivatives, tangent planes and linear approximation, the chain rule, directional derivatives and the gradient, maximum and minimum values, Lagrange multipliers

## Questions for MAT 215 Calculus of Several Variables II

• Double integrals over rectangles, iterated integrals, double integrals over regions, double integrals in polar coordinates, applications of double integrals, surface area, triple integrals, cylindrical coordinates, spherical coordinates, change of variables, vector fields, line integrals, the Fundamental Theorem of line integrals, Green's Theorem, curl and divergence, parametric surfaces, surface integrals, Stokes' Theorem, the Divergence Theorem.