Business Calculus : Backward and Forward

Business Calculus: Backward and Forward presents calculus lessons “backward”—from definite integrals to limits to derivatives to indefinite integrals. This approach first introduces the concept of area, which is more intuitive for students, before advancing to the concept of slope. Additionally, the text features exercises and problems that are exclusively business related. All solutions to odd-numbered problems are included, as well as answers to even-numbered problems.

In Unit I, students learn integration in order to find the area between curves, using linear, quadratic, cubic, and exponential functions. Unit II focuses on determining limits. Students then learn how Riemann Sums can be used to approximate areas. In Units III and IV, students learn the Power Rule for taking derivatives and then learn to identify curve properties such as slope, concavity, relative and absolute extrema, and inflection points. Unit V incorporates the Product and Quotient Rules, the Chain Rule, and derivatives of transcendental functions. The final unit addresses implicit differentiation, related rates, integration by substitution, and a return to integration with indefinite integrals.

Review material is included throughout the text to assist students in revisiting previously learned material and support mastery of new concepts.

Featuring a class-tested, innovative approach, Business Calculus is an ideal resource for courses in applied mathematics for business.

Michel Mallenby is an adjunct assistant professor in the Department of Mathematics at Creighton University. She holds a Ph.D. in business, M.A. in accounting, M.S. in mathematics, plus a B.S. in physics, math, and English. Her research has been published in Journal of Fuzzy Mathematics, Primus, and Siberian News.

James W. Carlson is an associate professor in the Department of Mathematics at Creighton University. He holds a Ph.D. in mathematics from Purdue University with specialization in operator theory.