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Calculus of Several Variables: Lecture Notes

โœ Scribed by Prof. James McKernan

Publisher
Massachusetts Institute of Technology (MIT)
Year
2010
Tongue
English
Leaves
179
Category
Library
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โœฆ Table of Contents

  1. Vectors in R2 and R3
  2. Dot product
  3. Cross product
  4. Planes and distances
  5. n-dimensional space
  6. Cylindrical and spherical coordinates
  7. Functions
  8. Limits
  9. The derivative
  10. More about derivatives
  11. Higher derivatives
  12. Chain rule
  13. Implicit functions
  14. Parametrised Curves
  15. Arclength
  16. Moving frames
  17. Vector fields
  18. Div grad curl and all that
  19. Taylor Polynomials
  20. Maxima and minima: I
  21. Maxima and minima: II
  22. Maxima and minima: II
  23. Inclusion-Exclusion
  24. Triple integrals
  25. Change of coordinates: I
  26. Change of coordinates: II
  27. Line integrals
  28. Manifolds with boundary
  29. Conservative vector fields revisited
  30. Surface integrals
  31. Flux
  32. Stokes Theorem
  33. Gauss Theorem
  34. Forms on Rn

โœฆ Subjects

18.022; calc; calculus; mathematics; maths; math; single variable; limits; differentiation; differential; integration; integral; continuity; differentiability; analysis; real; complex; multiple variables; multivariable; multivariate; several variables

๐Ÿ“œ SIMILAR VOLUMES

Calculus of One Variable [lecture notes]
๐Ÿ“ Calculus of One Variable [lecture notes]
โœ Jerry Shurman ๐Ÿ“‚ Library ๐Ÿ“… 2017 ๐ŸŒ English

Course Notes for Mathematics 111: Calculus The notes as pdf (Copyright 2007, 2012 by Jerry Shurman. Any part of the material protected by this copyright notice may be reproduced in any form for any purpose without the permission of the copyright owner, but only the reasonable costs of reproduction

Calculus of Several Variables
๐Ÿ“ Calculus of Several Variables
โœ Serge Lang ๐Ÿ“‚ Library ๐Ÿ“… 1979 ๐Ÿ› Addison-Wesley Educational Publishers Inc ๐ŸŒ English

This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integ