San Francisco Public Library

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

Label
Understanding multivariable calculus, problems, solutions, and tips, the Teaching Company ; Bruce E. Edwards
Language
eng
Characteristic
videorecording
Main title
Understanding multivariable calculus
Medium
videorecording
Oclc number
878152666
Responsibility statement
the Teaching Company ; Bruce E. Edwards
Runtime
http://bibfra.me/vocab/marc/unknown
Series statement
Great courses. Science & mathematics, mathematics, course no. 1023
Sub title
problems, solutions, and tips
Summary
"The goal of this course is to complete your understanding and appreciation of calculus by seeing how calculus is extended to three dimensions."--page 1 of course workbook
Table Of Contents
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 fields: velocity, gravity, electricity -- 28. Curl, divergence, line integrals -- 29. More line integrals and work by a force field -- 30. Fundamental theorem of line integrals -- disc 6: 31. Green's Theorem: boundaries and regions -- 32. Applications of Green's Theorem -- 33. Parametric surfaces in space -- 34. Surface integrals and flux integrals -- 35. Divergence Theorem: boundaries and solids -- 36. Stokes's Theorem and Maxwell's Equations
Technique
live action
Classification
resource.teacher
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