MTH 2510 - Calculus and Analytic Geometry I

5 Credits

Prerequisite(s): Placement test, or “C” or better in MTH2320 or MTH2351
Part one of a three-part sequence in differential and integral calculus. Topics include a review of algebra; introduction to logic and proof; formal definition and evaluation of limits; determination of continuity; the Intermediate Value Theorem, definition and evaluation of derivatives; implicit differentiation; applications of differentiation to rates of change, graphing, optimization, estimation, and related rates; the Mean Value Theorem; definition and evaluation of definite and indefinite integrals; the Fundamental Theorem of Calculus; numerical integration; and applications of integration to area, volume, arc length, center of mass, and physics concepts. Graphing calculator required. Offered (Fall)