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M273: Multivariable Calculus

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M273: Multivariable Calculus

Mathematics
Publisher
Montana_State_University
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 82 sections
  1. 12: Vectors and the Geometry of Space
  2. 12.1: Vectors in Space
  3. Exercises for Vectors in Space
  4. 12.2: Vectors in the Plane
  5. Exercises for Vectors in the Plane
  6. 12.3: The Dot Product
  7. Exercises for The Dot Product
  8. 12.4: The Cross Product
  9. Exercises for The Cross Product
  10. 12.5: Equations of Lines and Planes in Space
  11. Exercises for Equations of Lines and Planes in Space
  12. 12.6: Quadric Surfaces
  13. Exercises for Quadric Surfaces
  14. 12.7: Cylindrical and Spherical Coordinates
  15. Exercises for Cylindrical and Spherical Coordinates
  16. Chapter 12 Review Exercises
  17. 13: Vector-valued Functions
  18. 13.1: Vector-Valued Functions and Space Curves
  19. Exercises for Section 13.1
  20. 13.2: The Calculus of Vector-Valued Functions
  21. Exercises for Section 13.2
  22. 13.2b: The Calculus of Vector-Valued Functions II
  23. 13.3: Motion in Space
  24. Exercises for Section 13.3
  25. 13.4: Arc Length and Curvature
  26. Exercises for Section 13.4
  27. 13.5: Acceleration and Kepler's Laws
  28. Exercises for Section 13.5
  29. Chapter 13 Review Exercises
  30. 14: Functions of Multiple Variables and Partial Derivatives
  31. Constrained Optimization
  32. Differentiation of Functions of Several Variables (Exercise)
  33. Directional Derivatives and the Gradient
  34. Directional Derivatives and the Gradient (Exercises)
  35. Functions of Multiple Variables
  36. Functions of Multiple Variables (Exercises)
  37. Introduction to Functions of Multiple Variables
  38. Lagrange Multipliers
  39. Exercises for Lagrange Multipliers
  40. Limits and Continuity
  41. Exercises for Limits and Continuity
  42. Optimization of Functions of Several Variables
  43. Optimization of Functions of Several Variables (Exercises)
  44. Partial Derivatives
  45. Partial Derivatives (Exercises)
  46. Tangent Planes, Linear Approximations, and the Total Differential
  47. Tangent Planes, Linear Approximations, and the Total Differential (Exercises)
  48. Taylor Polynomials of Functions of Two Variables
  49. Taylor Polynomials if Functions of Two Variables (Exercises)
  50. The Chain Rule for Functions of Multiple Variables
  51. The Chain Rule for Functions of Multiple Variables (Exercises)
  52. 15: Multiple Integration
  53. Calculating Centers of Mass and Moments of Inertia
  54. Change of Variables in Multiple Integrals (Jacobians)
  55. Double Integrals Over General Regions
  56. Double Integrals Part 2 (Exercises)
  57. Double Integrals Over Rectangular Regions
  58. Double Integrals Part 1 (Exercises)
  59. Double Integration with Polar Coordinates
  60. Double Integrals in Polar Coordinates
  61. Double Integrals in Polar Coordinates (Exercises)
  62. Exercises for Chapter 14
  63. Iterated Integrals and Area
  64. Iterated Integrals and Area (Exercises)
  65. Multiple Integration (Exercises)
  66. Triple Integrals
  67. Triple Integrals in Cylindrical and Spherical Coordinates
  68. Triple Integrals (Exercises 2)
  69. Triple Integrals (Exercises)
  70. 16: Vector Fields Line Integrals and Vector Theorems
  71. Conservative Vector Fields
  72. Divergence and Curl
  73. Green's Theorem
  74. Introduction to Vector Field Chapter
  75. Line Integrals
  76. Line Integrals (Exercises)
  77. Stokes' Theorem
  78. Surface Integrals
  79. The Divergence Theorem
  80. Vector Calculus (Exercises)
  81. Vector Fields
  82. Vector Fields (Exercises)