College Calculus (Hardcover)

Preface; 0. Preparation for college calculus; 1. Volume integrals and integration by parts; 2. Arc length, trigonometric substitution, and surface area; 3. Differential equations; 4. The logistic model, partial fractions, and least squares; 5. Physical applications of integration; 6. The hyperbolic functions; 7. Numerical integration; 8. Parametric equations and polar coordinates; 9. Improper integrals, L'Hopital's rule, and probability; 10. Infinite series (part I); 11. Infinite series (part II); Appendix A. Topic outline for AP calculus AB; Appendix B. Useful formulas from geometry and trigonometry; Appendix C. Supplemental topics in single variable calculus; Appendix D. Supplemental explorations; Appendix E. Answers to odd-numbered exercises; Index.