MATH-165 Calculus I
Functions, limits and continuity, squeeze theorem, limits at infinity; instantaneous rate of change, tangent slopes, and the definition of the derivative of a function; power, product, and quotient rules, trig derivatives, chain rule, implicit differentiation; higher order derivatives; derivatives of other transcendental functions (inverse trig functions, exponential and log functions, hyperbolic trig functions); applications of the derivative (implicit differentiation, related rates, optimization, differentials, curve sketching, L'Hopital's rule); anti-derivatives; indefinite integrals; Fundamental Theorem; applications (net change). 4 lecture hours plus 1 recitation session each week. Normally offered each semester.
Prerequisite
MATH-121 with a minimum grade of C, MATH-075, or MATH level 5