Understanding multivariable calculus: problems, solutions, and tips

by Edwards, Bruce H.

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Title Statements

Full title :Understanding multivariable calculus : problems, solutions, and tips / the Teaching Company ; Bruce E. Edwards.

Edition Statements

Publication Date:©2014.

Publication Statements

Publisher(s):Teaching Co
Place of Publication:Chantilly, VA
Language:eng
Publication Date:©2014.

Notes

Course booklet not included.

Thirty-six thirty minute lectures.

Great courses.

The Physical Object

Description:6 videodiscs (approximately 1080 min.) : : sound, color ; : 4 3/4 in.

Edition Identifiers

ISBN:1629970565, 9781629970561
oclc:on1029562925
LC Classification:QA303.2

Disc 1: 1. A visual introduction to 3-D calculus -- 2. Functions of several variables -- 3. Limits, continuity, and partial derivatives -- 4. Partial derivatives: one variable at a time -- 5. Total differentials and chain rules -- 6. Extrema of functions of two variables -- disc 2: 7. Applications to optimization problems -- 8. Linear models and least squares regression -- 9. Vectors and the dot product in space -- 10. The cross product of two vectors in space -- 11. Lines and planes in space -- 12. Curved surfaces in space -- disc 3: 13. Vector-valued functions in space -- 14. Kepler's Laws: the calculus of orbits -- 15. Directional derivatives and gradients -- 16. Tangent planes and normal vectors to a surface -- 17. Lagrange multipliers: constrained optimization -- 18. Applications of lagrange multipliers -- disc 4: 19. Iterated integrals and area in the plane -- 20. Double integrals and volume -- 21. Double integrals in polar coordinates -- 22. Centers of mass for variable density -- 23. Surface area of a solid -- 24. Triple integrals and applications -- disc 5: 25. Triple integrals in cylindrical coordinates -- 26. Triple integrals in spherical coordinates -- 27. Vector field…

Subjects

Calcul infinitésimal Calcul infinitésimal -- Étude et enseig… Calcul infinitésimal -- Problèmes et ex… Calculus Calculus -- Problems, exercises, etc Calculus -- Study and teaching Problems and exercises