Welcome to the International Metric Version of Essential Calculus: Early Transcendental Functions. For this metric version. the units of measurement used in of the examples and exercises have been changed from U.S. Customary units to metric units. We did not convert problems that are specific to the U.S. Customary units, such as dimensions of a baseball field or U.S. postal rates. We are excited to offer you a new edition with even more resources that will help you understand and master calculus.
Features NEW Conceptual Exercises
The Exploring Concepts exercises appear in each section. These exercises will help you develop a deeper and clearer knowledge of calculus. Work through these exercises to build and strengthen your understanding of the calculus concepts and to prepare you for the rest of the section exercises.
REVISED Exercise Sets
The exercise sets have been carefully and extensively examined to ensure they are rigorous and relevant and to include topics our users have suggested. The exercises are organized and titled so you can better sec the connections between examples and exercises. Multi-step. real-life exercises reinforce problem-solving skills and mastery of concepts by giving you the opportunity to apply the concepts in real-life situations.
A bulleted list of learning objectives Provides you with the opportunity to preview presented in the upcoming section.
Theorems provide the conceptual framework for calculus. Theorems are clearly stated and separated from the rest of the text by boxes for quick visual reference. Key proofs often follow the theorem and can be found in appendix A.
As with theorems, definitions are clearly stated using precise, formal wording and are separated from the text by boxes for quick visual reference.
Explorations provide unique challenges to study concepts that have not yet been formally covered in the text. They allow you to learn by discovery and introduce topics related to ones presently being studied. Exploring topics in this way encourages you to think outside the box.
These hints and tips reinforce or expand upon concepts. help you learn how to study mathematics, caution you about common errors, address special cases, or show alternative or additional steps to a solution of an example.
Table of Contents
1. Limits and Their Properties
3. Applications of Differentiation
5. Applications of Integration
6. Integration Techniques and Improper Integrals
7. Infinite Series
8. Conics, Parametric Equations, and Polar Coordinates
9. Vectores and the Geometry of Space
10. Vector-Valued Functions
11. Functions of Several Variables
12. Multiple Integration
13. Vector Analysis
Appendix A. Proofs of Selected Theorems
Appendix B. Integration Tables
Answers to Selected Exercises