Calculus Concepts - An Applied Approach to the Mathematics of Change [Hardcover]

Donald R. LaTorre (Author), John W. Kenelly (Author), Iris B. Reed (Author), Laurel R. Carpenter (Author), Cynthia R. Harris (Author), Sherry Biggers (Author)

Book Description

Publication Date: March 14, 2007 | ISBN-10: 0618789812 | ISBN-13: 978-0618789818 | Edition: 4th

Designed for the two-semester Applied Calculus course, this graphing calculator-dependent text uses an innovative approach that includes real-life applications and technology such as graphing utilities and Excel spreadsheets to help students learn mathematical skills that they will draw on in their lives and careers. The text also caters to different learning styles by presenting concepts in a variety of forms, including algebraic, graphical, numeric, and verbal.Targeted toward students majoring in business economics, liberal arts, management and the life & social sciences, Calculus Concepts, 4/e uses real data and situations to help students develop an intuitive understanding of the concepts being taught. The fourth edition has been redesigned for clarity and to emphasize certain concepts and objectives.

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Review

Table of Contents: Each chapter concludes with a summary, a concept check, and review activities 1. INGREDIENTS OF CHANGE: FUNCTIONS AND LIMITS. Functions-Four Representations. Function Behavior and End Behavior Limits. Limits and Continuity. Linear Functions and Models. Exponential Functions and Models. Models in Finance. Constructed Functions. Logarithmic Functions and Models. Quadratic Functions and Models. Logistic Functions and Models. Cubic Functions and Models. Cyclic Functions and Models. Representations of a Sine Function. Characteristics of Sine Functions. 2. DESCRIBING CHANGE: RATES. Measures of Change over an Interval. Measures of Change at a Point. Rates of Change-Notation and Interpretation. Rates of Change-Numerical Limits and Non-existence. Rates of Change Defined over Intervals. Sketching Rate-of-Change Graphs. 3. DETERMINING CHANGE: DERIVATIVES. Simple Rate-of-Change Formulas. Exponential, Logarithmic, and Cyclic Rate-of-Change Formulas. Rates of Change for Functions That Can Be Composed. Rates of Change of Composite Functions. Rates of Change for Functions That Can Be Multiplied. Rates of Change for Product Functions. Limits of Quotients and L'Hopital's Rule. 4. ANALYZING CHANGE: APPLICATIONS OF DERIVATIVES. Linearization. Relative Extreme Points. Relative Extreme Points. Inflection Points and Second Derivatives. Marginal Analysis. Optimization of Constructed Functions. Related Rates. 5. ACCUMULATING CHANGE: LIMITS OF SUMS AND THE DEFINITE INTEGRAL. An Introduction to Results of Change. Limit of Sums and the Definite Integral. Accumulation Functions. The Fundamental Theorem. Antiderivative Formulas for Exponential, Natural Log, and Sine Functions. The Definite Integral-Algebraically. Differences of Accumulated Change. Average Value and Average Rate of Change. Integration of Product or Composite Functions. 6. ANALYZING ACCUMULATED CHANGE: INTEGRALS AND ACTION. Perpetual Accumulation and Improper Integrals. Streams in Business and Biology. Calculus in Economics-Demand and Elasticity. Calculus in Economics-Supply and Equilibrium. Calculus in Probability-Part 1. Calculus in Probability-Part 2. Differential Equations-Slope Fields and Solutions. Differential Equations-Proportionality and Common Forms. 7. INGREDIENTS OF MULTIVARIABLE CHANGE: FUNCTIONS AND RATES. Multivariable Functions and Contour Graphs. Cross-Sectional Models and Rates of Change. Partial Rates of Change. Compensating for Change. 8. ANALYZING MULTIVARIABLE CHANGE: OPTIMIZATION. Extreme Points and Saddle Points. Multivariable Optimization. Optimization Under Constraints. Least-Squares Optimization. Answers to Odd Activities. Index of Applications. Subject Index.

Product Details

• Hardcover: 667 pages
• Publisher: Houghton Mifflin; 4th edition (March 14, 2007)
• Language: English
• ISBN-10: 0618789812
• ISBN-13: 978-0618789818
• Product Dimensions: 10.1 x 8.3 x 1.3 inches
• Shipping Weight: 4.2 pounds (View shipping rates and policies)
• Average Customer Review: 3.9 out of 5 stars  See all reviews (7 customer reviews)
• Amazon Best Sellers Rank: #681,597 in Books (See Top 100 in Books)

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8 of 12 people found the following review helpful:

1.0 out of 5 stars Worst math book ever written, how did this thing get published?, March 18, 2008

By 

J. Forsyth "grendels" (College Station, TX) - See all my reviews
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This review is from: Calculus Concepts - An Applied Approach to the Mathematics of Change (Hardcover)

This is by far the worst math book I have ever had the displeasure to read. I teach many different math classes and over the years I have read a lot of different calculus books. But nothing like this one. First, I think that the authors decided to go with the worst approach possible to all of the concepts. For instance, instead of talking about anti-derivatives the call them accumulation functions. This will only confuse the student and make a concept that is basically simple way more difficult than it actually is. For another example, the book does not teach the quotient rule for taking derivatives, and then give you really nasty things to take the derivative of, set equal to zero, and solve for x. The book craps out of this by saying things like: By the use of technology, we solve this equation. What if your teacher won't let you use a calculator? You just got screwed.

To make things worse, there are mistakes everywhere in Chapter 5. This is the fourth edition, how did this happen? Is the publisher blind?

If you have a choice spend your money elsewhere, if your teacher is using this book, I feel sorry for you, stick your head between your knees, and say good bye to your grade.

0 of 1 people found the following review helpful:

5.0 out of 5 stars thank you, January 3, 2012

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Capillo Fabio "pippo baudo" (oklahoma) - See all my reviews
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Amazon Verified Purchase

This review is from: Calculus Concepts - An Applied Approach to the Mathematics of Change (Hardcover)

i am extremely pleased with my purchase, it is better than expected. Fast shipping, product in perfect condition, very good quality. would recommend.

1 of 3 people found the following review helpful:

1.0 out of 5 stars not a great book, February 12, 2010

By 

Ramona A. Milburn "Ramona Milburn" (Philadelphia, PA United States) - See all my reviews
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This review is from: Calculus Concepts: An Applied Approach to the Mathematics of Change, Brief Edition (Hardcover)

Hard to understand with the examples. Answers not listed for all problems. I had to get another book to understand what was going on.