Essentials of Technical Mathematics with Calculus

Essentials of Technical Mathematics with Calculus, 2/e

Richard S. Paul, Penn State University

Published June, 1996 by Prentice Hall Career & Technology

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Technical Mathematics with Calculus-Mathematics

Summary

An applications-oriented approach — designed especially to meet the math needs of those in the various engineering technologies who have limited mathematical backgrounds.

Features

presents a good balance between mathematical concepts, manipulative mathematics, and their applications to the technologies — emphasizing both the “how” and the “why.”
reviews selected topics from arithmetic and geometry.
carefully explains and motivates all mathematical concepts and methods.
contains over 1200 step-by-step examples.
includes an abundance and variety of technical applications — which require no prior technical knowledge.
features over 7000 problems.
introduces and uses a scientific calculator throughout as the need arises.

Table of Contents

Preliminary Topics.
1. Operations with Real Numbers.
2. Introduction to Exponents and Radicals.
3. Operations with Algebraic Expressions.
4. Equations.
5. Functions and Graphs.
6. Trigonometric Functions of an Acute Angle.
7. Reference Angles and Vectors.
8. Straight Lines.
9. Systems of Equations.
10. Factoring and Fractions.
11. Operations with Radicals.
12. Quadratic Equations and Functions.
13. Complex Numbers.
14. Variation.
15. Exponential and Logarithmic Functions.
16. Graphs of the Trigonometric Functions.
17. Trigonometric Formulas and Equations.
18. Oblique Triangles, Area, and Angular Speed.
19. Inequalities.
20. Sequences and Series.
21. Analytic Geometry.
22. Limits.
23. Differentiation.
24. Curve Sketching.
25. Applications of the Derivative.
26. Derivatives of Transcendental Functions.
27. Integration.
28. Applications of the Integral.
29. Techniques of Integration.
Appendix A: The Scientific Calculator.
Appendix B: Table of Selected Integrals.
Answers to Odd-Numbered Problems.
Index.