MTH-1200 - Calculus I and Analytic Geometry* (M) (4)

Prerequisite: MTH-1150 or MTH-1120 and MTH-1130
This first course in the calculus sequence is intended for students in the fields of mathematics, engineering, and the physical and life sciences. Topics include limits, continuity, derivatives, basic differential equations, parametric equations, indefinite and definite integration. Differential calculus applications include L’Hopitals Rule, curve sketching, optimization, Newton’s Method, and rate problems, and integral calculus applications include areas of regions. This course satisfies the General Education Mathematics requirement.

List Course Outcomes (consistent for all sections)
CO1 - Apply the notions of limits, continuity and differentiability to algebraic and transcendental functions in order to analyze average and instantaneous rates of change.

CO2 - Create derivatives by using a variety of techniques including explicit differentiation, implicit differentiation, logarithmic differentiation and implicit differentiation in order to find instantaneous rates of change.

CO3 - Interpret detailed graphs of nontrivial functions using derivatives and limits in order to collect and analyze data.

CO4 - Use basic techniques of integration in order to find particular or general antiderivatives.

CO5 - Apply the Fundamental Theorem of Calculus in order to evaluate definite integrals.

CO6 - Use differentiation and integration in order to solve real world problems such as rate of change, optimization and area problems.