Summary

Designed for the one- to two-semester business/applied calculus course that commonly requires the use of graphing calculators and spreadsheets, this text uses applications and technology to develop concepts before presenting concrete examples. The text presents the mathematics using many representations--algebraic, graphical, numeric, and verbal--to help students of diverse learning styles better understand and connect concepts. Students also use real data and graphing technology to build models and interpret results. Diverse exercise sets give instructors a wide variety of exercise formats to choose from when creating homework assignments. An Activities Key found at the beginning of each exercise set in the Instructor's Annotated Edition labels the types of exercises. This approach enables students to learn when it is appropriate to use technology or when exercises involve such things as writing or critical thinking. A navigation icon appears next to places within the text where multiple representations of a mathematical concept are presented. By presenting topics algebraically, graphically, numerically, and verbally, students see the connections between the different formats. In addition, various learning styles are addressed, allowing a greater majority of students to understand the material. Spreadsheet and Graphing Calculator Activities are located throughout the text to help students visualize concepts and learn how to use these key technological tools. Projects may be assigned by instructors to allow students to strengthen their writing and presentation skills while they learn to communicate mathematically. Eduspace is Houghton Mifflin's online learning tool. Powered by Blackboard, Eduspace is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. The LaTorre et al. Calculus Concepts course features algorithmic exercises, test bank content in question pools and video explanations.

Note: Each chapter contains a Summary, a Concept Check, and a Review Test
Ingredients of Change: Functions and Linear Models
Models, Functions, and Graphs
Constructed Functions
Functions, Limits, and Continuity
Linear Functions and Models Project
Tuition Fees Project
United States Population
Ingredients of Change: Nonlinear Models
Exponential Functions and Models
Logarithmic Functions and Models
Logistic Functions and Models
Polynomial Functions and Models
Choosing a Function to Fit Data Project
Compulsory School Laws Project
Fund-Raising Campaign
Describing Change: Rates
Change, Percentage Change, and Average Rates of Change
Instantaneous Rates of Change
Derivatives
Numerically Finding Slopes
Algebraically Finding Slopes Project
Fee-Refund Schedules Project
Doubling Time
Determining Change: Derivatives
Drawing Rate-of-Change Graphs
Simple Rate-of-Change Formulas
More Simple Rate-of-Change Formulas
The Chain Rule
The Product Rule Project
Superhighway Project
Fertility Rates
Analyzing Change: Applications of Derivatives
Approximating Change
Relative and Absolute Extreme Points
Inflection Points
Derivatives in Action
Interconnected Change: Related Rates Project
Hunting License Fees Project
Fund-Raising Campaign
Accumulating Change: Limits of Sums and the Definite Integral
Results of Change and Area Approximations
Limit of Sums, Accumulated Change, and the Definite Integral
Accumulation Functions
The Fundamental Theorem
The Definite Integral
Average Value and Average Rate of Change
Antiderivative Limitations Project
Acceleration, Velocity, and Distance Project
Estimating Growth
Analyzing Accumulated Change: Integrals in Action
Perpetual Accumulation and Improper Integrals
Streams in Business and Biology
Integrals in Economics
Probability Distributions and Density Functions Project
Arch Art
Repetitive Change: Cycles and Trigonometry
Functions of Angles: Sine and Cosine
Cyclic Functions as Models
Rates of Change and Derivatives
Extrema and Points of Inflection
Accumulation in Cycles Project
Seasonal Sales Project
Lake Tahoe Levels
Ingredients of Multivariable Change: Models, Graphs, Rates
Multivariable Functions and Contour Graphs
Cross-Sectional Models and Rates of Change
Partial Rates of Change
Compensating for Change Project
Competitive and Complementary Products Project
Expert Witness
Analyzing Multivariable Change: Optimization
Multivariable Critical Points
Multivariable Optimization
Optimization Under Constraints
Least-Squares Optimization Project
Snow Cover Project
Carbonated Beverage Packaging
Answers to Odd Activities
Index of Applications
Subject Index
Chapter 11 and the Appendices are available via the Internet
Dynamics of Change: Differential Equations and Proportionality
Differential Equations and Slope Fields
Separable Differential Equations
Numerically Estimating by Using Differential Equations: Euler's Method
Second-Order Differential Equations Chapter 11
Answers to Odd Activities
Trigonometry Basics Trigonometry Basics Answers to Appendix A
Strengthening the Concepts
The Pythagorean Theorem Solving
Exponential Equations Algebraically
Graphing Piecewise Functions
Constructing Inverse Functions
Algebraically Determining End Behavior Algebraically
The Limit at a Point Polynomial and Rational Functions
Continuity Defined APR and APY Exponents and Radicals Squaring and Cubing Binomials
The Constant Multiplier and Sum Rules for Derivatives
Negative and Fractional Exponents
Formulas for Geometry-Related Problems
Solving Systems of Equations
Algebraically Answers to Appendix B
Solutions to Appendix B
Appendix C: Strengthening the Skills
Skill Strengthening
Skill Strengthening
Skill Strengthening
Skill Strengthening
Skill Strengthening
Skill Strengthening
Answers to Appendix C
Solutions to Appendix C
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