Understanding calculus II : problems, solutions, and tips / Professor Bruce H. Edwards.

Understanding calculus II : problems, solutions, and tips /

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...

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Bibliographic Details
Corporate Author: Teaching Company
Other Authors: Edwards, Bruce H., 1946-
Format: Video DVD
Language:English
Published: [Chantilly, Va.] : Prince Frederick, MD : Teaching Company ; [Distributed by] Recorded Books, ©2013.
Series:Great courses (DVD)
Great courses ; no. 1018.
Subjects:
Calculus.
Calculus > Study and teaching.
Calculus > Problems, exercises, etc.
Lectures.
Educational films.
Nonfiction films.
Table of Contents:
  • 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.

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