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.
3. Applications of Differentiation
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
0618879188 | 9780618879182