Applied Calculus: Emphasis on Business Decisions

Edition: 3

Copyright: 2021

Pages: 476

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$133.13

ISBN 9781792484247

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Calculus has had a bad reputation. However, the knowledge of math has the ability to help one make better decisions in a professional and personal setting.

Unique to most calculus textbooks, Applied Calculus: Emphasis on Business Decisions encourages students to start doing calculus right away, and save some of the theory until they have a better and more intellectual basic understanding of what a derivative is and why it’s important. 

Functional for non-math majors in the fields of managerial, life, and social sciences, Applied Calculus: Emphasis on Business Decisions:

  • focuses more on the application to real world functions and interpretation and less on underlying proofs.
  • primarily addresses both differential and integral calculus for single variable algebraic, exponential, logarithmic functions, and touches on the calculus of multivariable functions.
  • encourages students to look at problems holistically and not piecemeal, as is often the case in most textbooks.
  • infuses technology throughout the publication by using the algebraic functionality of the TI, SOLVER, and Descartes Rule of Signs.
  • includes algebra review content in the appendices to helps students that have been away from math for a time.
  • motivates students to view the first and second derivatives not as separate entities, but jointly when completely analyzing a function analysis.

Preface

Chapter R Function Analysis
Section R.1 Elements of Function Analysis
Section R.2 Fundamental Business Functions

Chapter 1 Differentiation
Section 1.1 Basic Rules of Differentiation
Section 1.2 Higher Order Derivatives
Section 1.3 Theory of the Derivative
Section 1.4 Radical and Reciprocal Rules
Section 1.5 Product, Quotient, and Chain Rules
Section 1.6 Exponential Functions
Section 1.7 Logarithm Functions
Section 1.8 Curve Sketching
Section 1.9 Implicit and Logarithmic Rules
Section 1.10 Elasticity

Chapter 2 Integration 2
Section 2.1 Basic Rules of Integration and Definite Integration
Section 2.2 Substitution Rule
Section 2.3 Integration by Parts
Section 2.4 Improper Integrals
Section 2.5 Numeric Integration

Chapter 3 Multivariable Analysis
Section 3.1 Introduction
Section 3.2 Partial Differentiation

Appendix A Algebra Review
Appendix B TI-83/84 Calculator Operations
Appendix C Binomial Expansion
Chapter Solutions

Index

ROBERT BARBER

Bob is currently a mathematics professor and is a retired corporate executive and business founder and CEO. In his spare time, he enjoys writing poetry and is a published author.

Bob has been a successful business leader and educator. His experience as the head of a large engineering organization and as a college professor gives him a perspective that he wishes to share for whatever it may be worth. He has over 50 years of professional experience and is often asked to share his thoughts about the transition from an educational institution to the business world. Since most of his professional life has been involved in applying mathematics to engineering and business applications, he is often asked to provide his perspective on teaching mathematics. This text is an attempt to provide some of his perspectives.

STEVEN HETZLER

Steven Hetzler has been a Professor of mathematics at Salisbury University for over 25 years. His goal with this text and all his teaching is to support students in their learning, by engaging them in problem-solving, and by communicating mathematics and its applications clearly and through multiple models. In this text, he feels that educators and students will get a chance to use a different model for teaching calculus . . . a model that is different than the traditional way calculus is currently taught and textbooks are written.

“What is most striking about this text is that it is written for business students from a business point of view. Many standard texts, even those that begin a topic with an application, tend to develop mathematics topics from the perspective of a mathematician. This text begins every section with a practical business problem and then develops every mathematics topic in the context of the business problem at hand. This is quite unique. This book gives instructors of business calculus a powerful tool for helping them improve their students’ performance in a notoriously difficult course.” 

-former Professor of Mathematics

Calculus has had a bad reputation. However, the knowledge of math has the ability to help one make better decisions in a professional and personal setting.

Unique to most calculus textbooks, Applied Calculus: Emphasis on Business Decisions encourages students to start doing calculus right away, and save some of the theory until they have a better and more intellectual basic understanding of what a derivative is and why it’s important. 

Functional for non-math majors in the fields of managerial, life, and social sciences, Applied Calculus: Emphasis on Business Decisions:

  • focuses more on the application to real world functions and interpretation and less on underlying proofs.
  • primarily addresses both differential and integral calculus for single variable algebraic, exponential, logarithmic functions, and touches on the calculus of multivariable functions.
  • encourages students to look at problems holistically and not piecemeal, as is often the case in most textbooks.
  • infuses technology throughout the publication by using the algebraic functionality of the TI, SOLVER, and Descartes Rule of Signs.
  • includes algebra review content in the appendices to helps students that have been away from math for a time.
  • motivates students to view the first and second derivatives not as separate entities, but jointly when completely analyzing a function analysis.

Preface

Chapter R Function Analysis
Section R.1 Elements of Function Analysis
Section R.2 Fundamental Business Functions

Chapter 1 Differentiation
Section 1.1 Basic Rules of Differentiation
Section 1.2 Higher Order Derivatives
Section 1.3 Theory of the Derivative
Section 1.4 Radical and Reciprocal Rules
Section 1.5 Product, Quotient, and Chain Rules
Section 1.6 Exponential Functions
Section 1.7 Logarithm Functions
Section 1.8 Curve Sketching
Section 1.9 Implicit and Logarithmic Rules
Section 1.10 Elasticity

Chapter 2 Integration 2
Section 2.1 Basic Rules of Integration and Definite Integration
Section 2.2 Substitution Rule
Section 2.3 Integration by Parts
Section 2.4 Improper Integrals
Section 2.5 Numeric Integration

Chapter 3 Multivariable Analysis
Section 3.1 Introduction
Section 3.2 Partial Differentiation

Appendix A Algebra Review
Appendix B TI-83/84 Calculator Operations
Appendix C Binomial Expansion
Chapter Solutions

Index

ROBERT BARBER

Bob is currently a mathematics professor and is a retired corporate executive and business founder and CEO. In his spare time, he enjoys writing poetry and is a published author.

Bob has been a successful business leader and educator. His experience as the head of a large engineering organization and as a college professor gives him a perspective that he wishes to share for whatever it may be worth. He has over 50 years of professional experience and is often asked to share his thoughts about the transition from an educational institution to the business world. Since most of his professional life has been involved in applying mathematics to engineering and business applications, he is often asked to provide his perspective on teaching mathematics. This text is an attempt to provide some of his perspectives.

STEVEN HETZLER

Steven Hetzler has been a Professor of mathematics at Salisbury University for over 25 years. His goal with this text and all his teaching is to support students in their learning, by engaging them in problem-solving, and by communicating mathematics and its applications clearly and through multiple models. In this text, he feels that educators and students will get a chance to use a different model for teaching calculus . . . a model that is different than the traditional way calculus is currently taught and textbooks are written.

“What is most striking about this text is that it is written for business students from a business point of view. Many standard texts, even those that begin a topic with an application, tend to develop mathematics topics from the perspective of a mathematician. This text begins every section with a practical business problem and then develops every mathematics topic in the context of the business problem at hand. This is quite unique. This book gives instructors of business calculus a powerful tool for helping them improve their students’ performance in a notoriously difficult course.” 

-former Professor of Mathematics