Bibliograph

Understanding calculus, problems, solutions, and tips, the Teaching Company ; Bruce E. Edwards, II

Type

Label

Understanding calculus, problems, solutions, and tips, the Teaching Company ; Bruce E. Edwards, II

Language

eng

Characteristic

videorecording

Main title

Understanding calculus

Oclc number

851375284

Responsibility statement

the Teaching Company ; Bruce E. Edwards

Runtime

Series statement

Great courses, high school, mathematics

Sub title

problems, solutions, and tips

Summary

"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

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

Technique

live action

resource.variantTitle

Understanding calculus two

Classification

Contributor

Genre

Subject