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Calculus: Ideas and Applications


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Calculus: Ideas and Applications

Alex Himonas, Alan Howard

ISBN: 978-0-471-40145-2 December 2002 832 Pages

Out of stock
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This lively, informal applied calculus text-ideal for students in business, economics, life sciences, social sciences, and liberal arts?speaks directly to the student. In a clear, conversational style, the authors focus on key themes without bogging students down in peripheral detail. Well-chosen real-life examples keep student interest high and motivate students to apply the mathematics they are learning. The text is carefully structured while remaining interesting, clear, and relevant.

This text is available in two versions: a brief version suitable for a one-semester course and a full version for a two-semester course.

Precalculus Review.

Limits and Continuity.

Exponentials and Logarithms.

The Derivative.

Using the Derivative.


Further Applications of the Integral.

Functions of Several Variables and Applications.

Trigonometric Functions.

Differential Equations.

Higher-Order Approximations.

Probability and Statistics.

Answers to Odd-Numbered Problems.

Photo Credits.

  • The authors take great pains to introduce concepts when they are most-needed. New concepts appear where they seem most simple and natural, rather than being brought in as an afterthought.
  • The concept of limits is introduced early, motivated by a discussion of rational functions and vertical asymptotes. In particular, the authors give several examples of rational functions not in lowest terms and analyze their behavior as the denominator goes to zero. From the analysis, the authors move to limits in a natural way. When the limits are used later for the definition of the derivative, the student is comfortable with the concept and is familiar with the main techniques for finding limits.
  • Exponential and logarithms are introduced before discussing derivatives, and their application to questions of compound interest and population growth is stressed.
  • Explanations are as clear and informal as possible without sacrificing mathematical integrity. All theorems, proofs, definititions, and rules are clearly highlighted.
  • Attention-getting, interesting examples and exercises from a wide variety of fields are constructed using real data. Practice Exercises (with answers) appear just before each problem set to give students the chance to warm up.
  • Many exercises incorporate Graphing Utility, Computer Algebra System, and/or Spreadsheet technology. Subsections throughout-called Applying Technology-cover the use of technology in detail.
  • Problem solving tactics appear in the margins wherever it is anticipated students might have trouble with concepts or techniques. This gives students integral strategies without interrupting the flow of the text.
  • Historical profiles about the individuals who created or advanced the mathematics provide students with the human connection to the material.
  • End of chapter Summary, Review Questions, Review Exercises, and Practice Exams cover all of the skills learned in the chapter and help students test their understanding. Chapter-ending Projects extend the concepts and can be used for group activities.