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Open CosmologyPhysics & cosmology: four years, plus a graduate year
Mathematics · Year I

18.02 Multivariable Calculus

Vectors and matrices, functions of several variables, partial derivatives, multiple integrals, and vector calculus: line and surface integrals, divergence, curl, and the theorems of Green, Gauss and Stokes.

Based on MIT OpenCourseWare, Fall 2007 · Prof. Denis Auroux · Course on OCW

Lectures (0 of 35 with pages so far)

  1. Lecture 1Dot ProductMIT ↗
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  2. Lecture 2DeterminantsMIT ↗
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  3. Lecture 3MatricesMIT ↗
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  4. Lecture 4Square SystemsMIT ↗
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  5. Lecture 5Parametric EquationsMIT ↗
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  6. Lecture 6Kepler's Second LawMIT ↗
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  7. Lecture 7Exam ReviewMIT ↗
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  8. Lecture 8Partial DerivativesMIT ↗
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  9. Lecture 9Max-Min and Least SquaresMIT ↗
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  10. Lecture 10Second Derivative TestMIT ↗
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  11. Lecture 11Chain RuleMIT ↗
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  12. Lecture 12GradientMIT ↗
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  13. Lecture 13Lagrange MultipliersMIT ↗
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  14. Lecture 14Non-Independent VariablesMIT ↗
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  15. Lecture 15Partial Differential EquationsMIT ↗
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  16. Lecture 16Double IntegralsMIT ↗
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  17. Lecture 17Polar CoordinatesMIT ↗
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  18. Lecture 18Change of VariablesMIT ↗
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  19. Lecture 19Vector FieldsMIT ↗
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  20. Lecture 20Path IndependenceMIT ↗
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  21. Lecture 21Gradient FieldsMIT ↗
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  22. Lecture 22Green's TheoremMIT ↗
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  23. Lecture 23FluxMIT ↗
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  24. Lecture 24Simply Connected RegionsMIT ↗
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  25. Lecture 25Triple IntegralsMIT ↗
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  26. Lecture 26Spherical CoordinatesMIT ↗
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  27. Lecture 27Vector Fields in 3DMIT ↗
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  28. Lecture 28Divergence TheoremMIT ↗
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  29. Lecture 29Divergence Theorem (cont.)MIT ↗
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  30. Lecture 30Line IntegralsMIT ↗
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  31. Lecture 31Stokes' TheoremMIT ↗
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  32. Lecture 32Stokes' Theorem (cont.)MIT ↗
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  33. Lecture 33Maxwell's EquationsMIT ↗
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  34. Lecture 34Final ReviewMIT ↗
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  35. Lecture 35Final Review (cont.)MIT ↗
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