Please Rotate Your Device

For best viewing on a small screen, rotate your device to landscape mode.
Image showing a device being rotated to landscape mode.

SUNY-Wide Course Catalog

Campus
Orange  Logo

Orange
115 South St Middletown, NY 10940
Website

General Education

The following is fulfilled by this course:

  • Mathematics (and Quantitative Reasoning)
Additional Information
Status: Active
SUNY ID: 81799
Full Title: Calculus 1
Level: Lower Division (UG)
CIP: 2701 Mathematics

MAT 205 | Calculus 1

4 credits

Analytic geometry topics are introduced as needed to carry out the orderly development of the calculus. Topics include limits, continuity, derivatives & differentiation, implicit differentiation, Rolles' Theorem and Mean Value Theorem, applications of differentiation (related rate problems, optimization problems), First & Second Derivative Tests (relative extrema and increasing/decreasing intervals), points of inflection and concavity, limits at infinity (horizontal asymptotes), curve sketching, differentials, antidifferentiation, area of bounded region using summations, Riemann Sums, the definite integral and the Fundamental Theorem of Calculus.Prerequisite: C or better in MAT 122 or C or better in MAT 131, or placement in MAT 205