Technical Mathematics with Calculus, 6th Edition

ISBN: 9780470464724

Technical Mathematics with Calculus, 6th Edition is designed to provide a mathematically rigorous, comprehensive coverage of topics and applications, while still being accessible to students. Calter/Calter focus on developing students’ critical thinking skills as well as improving their proficiency in a broad range of technical math topics such as algebra, linear equations, functions, and integrals. Using abundant examples and graphics throughout the text, this edition provides several features to help students visualize problems and better understand the concepts.

The sixth edition of Technical Mathematics with Calculus has added back in popular topics including statistics and line graphing in order to provide a comprehensive coverage of topics and applications—everything the technical student may need is included, with the emphasis always on clarity and practical applications.

This textbook has been in constant use since 1980, and this edition represents the first major revision of the title. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics.


  • Clarity of presentation: This is the feature most mentioned by reviewers, and has obvious benefits to students and instructors.
  • Technical Applications: The technical applications provide motivation for the student and examples for an instructor who may not have a technical background. Additionally, an Index to Applications aids in finding applications in a particular field, such as electrical technology.
  • Estimation: Shows a student whether an answer is reasonable or not reasonable. They show common pitfalls for both student and instructor and are flagged and boxed, wherever appropriate.
  • Formulas: Formulas used in the text are boxed and numbered, and listed in the appendix as the Summary of Facts and Formulas.
  • Writing, Projects, Internet: Every chapter concludes with a section of optional enrichment activities. Many students are attracted to the magic and history of mathematics and welcome a guided introduction into this world. These writing questions aim to test and expand a student’s knowledge of the material and perhaps explore areas outside of those covered in class while team projects foster “collaborative learning.”
Paul A. Calter
Vermont Technical College

Michael A. Calter
Wesleyan University

1. Review of Numerical Computation
2. Introduction to Algebra
3. Simple Equations and Word Problems
4. Functions
5. Graphs
6. Geometry
7. Right Triangles and Vectors
8. Oblique Triangles and Vectors
9. Systems of Linear Equations
10. Matrices and Determinants
11. Factoring and Fractions
12. Quadratic Equations
13. Exponents and Radicals
14. Radian Measure, Arc Length, and Rotation
15. Trigonometric, Parametric, and Polar Graphs
16. Trigonometric Identities and Equations
17. Ratio, Proportion, and Variation
18. Exponential and Logarithmic Functions
19. Complex Numbers
20. Sequences, Series, and the Binomial Theorem
21. Introduction to Statistics and Probability
22. Analytic Geometry
23. Derivatives of Algebraic Functions
24. Graphical Applications of the Derivative
25. More Applications of the Derivative
26. Integration
27. Applications of the Integral
28. More Applications of the Integral
29. Trigonometric, Logarithmic, and Exponential Functions
30. First-Order Differential Equations
31. Second-Order Differential Equations
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