Understanding Calculus. : Problems, Solutions, and Tips II

Locations
Call Number: DVD 515 Ed Oversize
On Shelf At: Downtown Library

Location & Checkout Length	Call Number	Checkout Length	Item Status
Downtown 1st Floor 4-week checkout	DVD 515 Ed Oversize	4-week checkout	On Shelf

Thirty-six thirty minute lectures.
Course workbook includes professor biography, statement of course scope, lecture outline with notes and problems, glossary, formulas, theorems, a review of trigonometry, bibliography, solutions, and a summary sheet.
1. Basic functions of calculus and limits -- 2. Differentiation warm-up -- 3. Integration warm-up -- 4. Differential equations: growth and decay -- 5. Applications of differential equations -- 6. Linear differential equations -- 7. Areas and volumes -- 8. Arc length, surface area, and work -- 9. Moments, centers of mass, and centroids -- 10. Integration by parts -- 11. Trigonometric integrals -- 12. Integration by trigonometric substitution -- 13. Integration by partial fractions -- 14. Indeterminate forms and L'Hôpital's rule -- 15. Improper integrals -- 16. Sequences and limits -- 17. Infinite series: geometric series -- 18. Series, divergence, and the cantor set -- 19. Integral test: harmonic series, p-series -- 20. The comparison tests -- 21. Alternating series -- 22. The ratio and the root tests -- 23. Taylor polynomials and approximations -- 24. Power series and intervals of convergence -- 25. Representation of functions by power series -- 26. Taylor and Maclaurin series -- 27. Parabolas, ellipses, and hyperbolas -- 28. Parametric equations and the cycloid -- 29. Polar coordinates and the cardioid -- 30. Area and arc length in polar coordinates -- 31. Vectors in the plane -- 32. The dot product of two vectors -- 33. Vector-valued functions -- 34. Velocity and acceleration -- 35. Acceleration's tangent and normal vectors -- 36. Curvature and the maximum bend of a curve.
Lecturer: Dr. Bruce H. Edwards, Professor of Mathematics at the University of Florida.
"Calculus II is the payoff for mastering Calculus I. This second course in the calculus sequence introduces you to exciting new techniques and applications of one of the most powerful mathematical tools ever invented. Equipped with the skills of Calculus II, you can solve a wide array of problems in the physical, biological, and social sciences, engineering, economics, and other areas. Success at Calculus II also gives you a solid foundation for the further study of mathematics, and it meets the math requirement for many undergraduate majors"--Publisher's website.
DVD.

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