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Interactive Applied Calculus, 1st edition

Published by Pearson (April 30, 2019) © 2020

  • Nathan P. Ritchey Edinboro University of PA , Youngstown State University
  • Darin Kapanjie Temple University
  • Katharine Fisher University of Toledo
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Features

  • Interactive digital learning experience
  • Help when and where you need it
  • Instant feedback on assignments
  • Apps and study tools

Learn calculus by seeing and doing calculus. Written in MyLab® Math, Interactive Applied Calculus weaves video, text and MyLab Math assessment questions into a seamless learning experience that helps you master calculus and succeed in the course. Rather than introducing concepts all at once on a static, printed page, this unique online product uses Interactive Assignments that take a “watch a little, do a little” approach. Concepts are explained and then you practice them immediately, which leads to deeper understanding. The authors cover all key concepts in a way that you will find accessible and engaging. The flexibility of the MyLab platform, combined with the authors' decades of teaching experience, make this a perfect solution for applied calculus whether your course is traditional lecture, online, hybrid or flipped format.

1. Linear Functions

  • 1-1 Slopes and Equations of Lines
  • 1-2 Linear Functions and Applications
  • 1-3 The Least Squares Line

2. Nonlinear Functions

  • 2-1 Properties of Functions
  • 2-2 Quadratic Functions; Translation and Reflection
  • 2-3 Polynomial and Rational Functions
  • 2-4 Exponential Functions
  • 2-5 Logarithmic Functions
  • 2-6 Applications: Growth and Decay; Mathematics of Finance

3. The Derivative

  • 3-1 Limits
  • 3-2 Continuity
  • 3-3 Rates of Change
  • 3-4 Definition of the Derivative
  • 3-5 Graphical Differentiation

4. Calculating the Derivative

  • 4-1 Techniques for Finding Derivatives
  • 4-2 Derivatives of Products and Quotients
  • 4-3 The Chain Rule
  • 4-4 Derivatives of Exponential Functions
  • 4-5 Derivatives of Logarithmic Functions

5. Graphs and the Derivative

  • 5-1 Increasing and Decreasing Functions
  • 5-2 Relative Extrema
  • 5-3 Higher Derivatives, Concavity, and the Second Derivative Test
  • 5-4 Curve Sketching

6. Applications of the Derivative

  • 6-1 Absolute Extrema
  • 6-2 Applications of Extrema
  • 6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
  • 6-4 Implicit Differentiation
  • 6-5 Related Rates
  • 6-6 Differentials: Linear Approximation

7. Integration

  • 7-1 Antiderivatives
  • 7-2 Substitution
  • 7-3 Area and the Definite Integral
  • 7-4 The Fundamental Theorem of Calculus
  • 7-5 The Area Between Two Curves
  • 7-6 Numerical Integration

8. Further Techniques and Applications of Integration

  • 8-1 Integration by Parts
  • 8-2 Volume and Average Value
  • 8-3 Continuous Money Flow
  • 8-4 Improper Integrals

9. Multivariable Calculus

  • 9-1 Functions of Several Variables
  • 9-2 Partial Derivatives
  • 9-3 Maxima and Minima
  • 9-4 Lagrange Multipliers
  • 9-5 Total Differentials and Approximations
  • 9-6 Double Integrals

R. Algebra Reference

  • R-1 Polynomials
  • R-2 Factoring
  • R-3 Rational Expressions
  • R-4 Equations
  • R-5 Inequalities
  • R-6 Exponents
  • R-7 Radicals

Tables

  • Table 1. Formulas of Geometry
  • Table 2. Integrals
Answers to Selected Exercises
Photo Acknowledgements
Index

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