Calculus Early Transcendental Functions – Ron Larson, Bruce Edwards – 1st Edition


This book could provide a solid formal foundation when paired with an excellent instructor who will lecture in a way that brings the big picture together in the classroom. However, there is little here beyond highly formal presentations of theorems, proofs, and definitions with little-to-no discussion of the intuition behind the numbers.

Worked examples generally assume total mastery of and trigonometric identities. This is also true of the student manual, where one would hope to find some of the missing links explained. Most students hitting I are fresh out of Precalculus from the prior semester or two, and would benefit from seeing the and trig steps highlighted in worked examples and the solutions manual.

If your instructor is a “read from the book” type, you might like to find a supplemental for during your study time. You’ll also want to keep your old precalculus handy, because the algebra & trig appendix and inside-cover quick reference guides in this book are sparse.

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Table of Contents

1. Limits and Their Properties
2. Differentiation
3. Applications of Differentiation
4. Integration
5. Applications of Integration
6. Integration Techniques, L'Hôpital's Rule, and Improper Integrals
7. Infinite Series
8. Conics, Parametric Equations, and Polar Coordinates
9. Vectors 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
Appendix C Business and Economic Applications
Appendix D Precalculus Review
Appendix E Rotation and General Second-Degree Equation
Appendix F Complex Numbers

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