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Full Description
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.
Contents
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
