This hands-on guide makes calculus manageable-- even if it makes you sweat! Ryan leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English.

Includes index.

pt. I. An overview of calculus -- 1. What is calculus? -- 2. The two big ideas of calculus : differentiation and integration-- plus infinite series -- 3. Why calculus works -- pt. II. Warming up with calculus prerequisites -- 4. Pre-algebra and algebra review -- 5. Funky functions and their groovy graphs -- 6. The trig tango -- pt. III. Limits -- 7. Limits and continuity -- 8. Evaluating limits -- pt. IV. Differentiation -- 9. Differentiation orientation -- 10. Differentiation rules : yeah, man, it rules -- 11. Differentiation and the shape of curves -- 12. Your problems are solved : differentiation to the rescue! 13. More differentiation problems : going off on a tangent -- pt. V. Integration and infinite series -- 14. Intro to integration and approximating area --15. Integration : it's backwards differentiation -- 16. Integration techniques for experts -- 17. Forget Dr. Phil : use the integral to solve problems -- 18. Taming the infinite with improper integrals -- 19. Infinite series -- pt. VI. The part of tens -- 20. Ten things to remember -- 21. Ten things to forget -- 22. Ten things you can't get away with.