MTH2000 Calculus I
This is the first course in Calculus. Topics include a) Functions including a review of functions, representing functions, and trigonometric functions; b) Limits including definitions and techniques for computing limits, infinite limits, limits at infinity, and continuity; c) Derivatives including the rules of differentiation, derivatives of trigonometric functions, implicit differentiation, and the chain rule; d) Applications of the Derivative including maxima and minima, graphing functions, optimization problems, the mean value theorem, and L'Hopital's rule; e) Integration including area under curves, definite integrals, the fundamental theorems of calculus, and the substitution rule; f) Applications of Integration including velocity and net change, regions between curves, volumes by slicing and shells, length of curves and physical applications. Students are required to have a TI-83 Plus, TI-84 Plus, or equivalent graphing calculator. 5 Cr Hrs. Course Requirement(s): Appropriate Placement Score or
MTH1250.
Prerequisite
Appropriate Placement Score or
MTH1250.