Interactive Applied Calculus, 1st edition

  • Nathan P. Ritchey
  • Darin Kapanjie
  • Katharine Fisher

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For courses in Applied Calculus.

This package includes MyLab Math.

Students 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 more students 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 to students, who then practice them immediately – leading to deeper visual and conceptual understanding. The authors cover all key concepts, but do so in a way that students will find accessible and engaging. 

Interactive Applied Calculus is not only written in MyLab Math, but takes advantage of the MyLab’s hallmark course management features and functionality. This flexibility, combined with the authors’ decades of teaching experience, make this a perfect solution — whether you teach applied calculus in a traditional lecture, online, hybrid, or flipped format.   

Interactive Applied Calculus is the newest addition to Pearson’s suite of Interactive Courses for MyLab Math and Statistics.

Personalize learning with MyLab Math

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.


Table of contents

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


Table 1. Formulas of Geometry

Table 2. Integrals

Answers to Selected Exercises

Photo Acknowledgements


Published by Pearson (January 1st 2019) - Copyright © 2020