This introduction to single-variable differential and integral calculus assumes basic competence with pre-calculus mathematics. Calculus is the mathematical study of change and has wide application in the natural sciences, engineering, economics, finance, and public policy analysis. Its techniques allow the solution of many problems for which algebra alone is insufficient. Topics to be covered will include: functional notation; graphical transformations; inverse, exponential, logarithmic and trigonometric functions; limits and derivatives; techniques of differentiation and applications of the differential calculus; antiderivatives and indefinite integrals; definite integrals and the fundamental theorem of calculus; basic integration and applications of the integral calculus. If time permits, solutions of some first-order differential equations and their applications will be considered.
Pre-requisite: Passing high school grades in algebra I, algebra II, geometry, and trigonometry, plus an SAT score of 650 or higher or an ACT score of 27 or higher are required to place directly into this course. Otherwise, the pre-requisite is a C in MAT-160 or, with special permission from the instructor, an A in MAT-155.
Equivalent: MAT-270 LEC