Calculus

Front Cover
Career Press, Oct 1, 2006 - Mathematics - 285 pages
4 Reviews
This title in the Homework Helpers series tackles the most advanced mathematical course in most high schools: Calculus. The concepts are explained in everyday language before the examples are worked. Good habits, such as checking your answers after every problem, are reinforced.

There are practice problems throughout the book, and the answers to all of the practice problems are included. The problems are solved clearly and systematically, with step-by-step instructions provided.

Particular attention is placed on topics that students traditionally struggle with the most. While this book could be used to supplement a standard calculus textbook, it could also be used by college students or adult learners to refresh long-forgotten concepts and skills.

Homework Helpers: Calculus is a straightforward and understandable introduction to differential calculus and its applications. It covers all of the topics in a typical Calculus class, including:

  • Limits
  • Continuity
  • The product, quotient and chain rules
  • Implicit differentiation
  • Related rates
  • Graphical analysis
  • Optimization

    This book also contains a review of the pre-calculus concepts that form the foundation on which calculus is built.
 

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Contents

Preface
9
Elementary Functions
25
Exponential and Logarithmic Functions
47
Trigonometric Functions
65
Limits
79
Continuity
99
The Derivative
113
Rules For Differentiation
135
The Chain Rule
167
Applications of the Derivative
187
Further Applications of the Derivative
203
Graphical Analysis Using the First Derivative
221
Graphical Analysis Using the Second Derivative
233
Integration
251
Index
279
About the Author
285

Derivatives of Exponential and Trigonometric Functions
153

Common terms and phrases

About the author (2006)

Denise Szecsei earned B.S. degrees in physics, chemistry, and mathematics from the University of Redlands. She served four years as a technical instructor in the U.S. Navy before earning a doctorate degree in mathematics from Florida State University. She has been teaching since 1985.

Bibliographic information