Calculus

by Deborah Hughes-Hallett

Published 21 August 1992
Designed to promote an actual understanding of calculus as well as a real sense of how math is used in our technological age. At every stage it stresses the meaning in practical, graphical or numerical terms of the symbols students are using and the main concepts of calculus are described in plain English. Differential equations, exponential functions, the definite integral and its applications are among the topics covered. Includes problem sets, many of which are open-ended.




Functions Modeling Change

by Eric Connally

Published 30 July 1997
The third edition of this ground breaking text continues the authors goal a targeted introduction to precalculus that carefully balances concepts with procedures. Overall, this text is designed to provide a solid foundation to precalculus that focuses on a small number of key topics thereby emphasizing depth of understanding rather than breath of coverage. Developed by the Calculus Consortium, "FMC 3e" is flexible enough to be thought provoking for well prepared students while still remaining accessible to students with weaker backgrounds. As multiple representations encourage students to reflect on the material, each function is presented symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real world applications, examples and problems enable students to create mathematical models that will help them understand and interpret the world in which they live.

Achieving a fine balance between concepts and procedures, this innovative text shows readers how to apply calculus in a wide range of fields including biology and economics. It offers a focused vision, presenting concepts, four different ways: geometrically, numerically, analytically, and verbally. This approach provides readers with the benefit of several interpretations and helps them gain a solid understanding of essential topics.