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Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits, and they introduce the definite integral intuitively via the notion of net change before they discuss Riemann sums.
The strategic organisation of topics makes it easy to adjust the level of theoretical material covered. The significant applications introduced early in the course serve to motivate students and make the mathematics more accessible. Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions.
作者簡介
Larry J. Goldstein
現職：Goldstein Educational Technologies
David C. Lay
現職：University of Maryland
David I. Schneider
現職：University of Maryland
Nakhle H. Asmar
現職：University of Missouri
Ch 0 Functions
Ch 1 The Derivative
Ch 2 Applications of the Derivative
Ch 3 Techniques of Differentiation
Ch 4 The Exponential and Natural Logarithm Functions
Ch 5 Applications of the Exponential and Natural Logarithm Functions
Ch 6 The Definite Integral
Ch 7 Functions of Several Variables
Ch 8 The Trigonometric Functions
Ch 9 Techniques of Integration
Ch10 Differential Equations
Ch11 Taylor Polynomials and Infinite Series
Ch12 Probability and Calculus
