Calculus

MATH

210

Calculus

This course comprises a thorough treatment of the differential calculus, an overview of the integral calculus, and a study of the connections between them. Students will develop numerical, graphical, and analytic methods to solve problems concerning changing rates of change and measuring curvilinear figures; they will also study the calculus as an abstract symbol system with distinctive operations and rules. The historical development of the calculus will be incorporated as fitting and constructive. Topics include limits, continuity, velocity and acceleration, definitions of the derivative, differentiability, differentiation rules, using derivatives in graphing, derivatives of algebraic and transcendental functions, derivatives of inverse functions, linear approximation, approximating areas of curvilinear regions, the Riemann integral, and the First Fundamental Theorem of Calculus. Graphing calculators and software such as Microsoft Excel and Maple will be incorporated into all aspects of the course. Students will design and carry out a semester-long project involving a calculus-based analysis of an issue of both historical and contemporary importance to New York City.

Fall, Spring

Undergraduate

Yes

017583