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

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

**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

Ron Larson / Bruce H. Edwards/ Robert P. Hostetler

1st Edition

0618879188 | 9780618879182

eBook

English

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