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MAT-004A - Multivariable Calculus v2

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MAT-004A - Multivariable Calculus v2

Mathematics
Author
Robert Reed
Publisher
Mission College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 86 sections
  1. 12: Vectors in Space
  2. 12.00: Prelude to Vectors in Space
  3. 12.01: Vectors in the Plane
  4. 12.1E: Exercises for Section 12.1
  5. 12.02: Vectors in Three Dimensions
  6. 12.2E: Exercises for Section 12.2
  7. 12.03: The Dot Product
  8. 12.3E: Exercises for Section 12.3
  9. 12.04: The Cross Product
  10. 12.4E: Exercises for Section 12.4
  11. 12.05: Equations of Lines and Planes in Space
  12. 12.5E: Exercises for Section 12.5
  13. 12.06: Quadric Surfaces
  14. 12.6E: Exercises for Section 12.6
  15. 12.07: Cylindrical and Spherical Coordinates
  16. 12.7E: Exercises for Section 12.7
  17. 12.R: Chapter 12 Review Exercises
  18. 13: Vector-Valued Functions
  19. 13.00: Prelude to Vector-Valued Functions
  20. 13.01: Vector-Valued Functions and Space Curves
  21. 13.1E: Exercises for Section 13.1
  22. 13.02: Calculus of Vector-Valued Functions
  23. 13.2E: Exercises for Section 13.2
  24. 13.03: Arc Length and Curvature
  25. 13.3E: Exercises for Section 13.3
  26. 13.04: Motion in Space
  27. 13.4E: Exercises for Section 13.4
  28. 13.R: Chapter 13 Review Exercises
  29. 14: Differentiation of Functions of Several Variables
  30. 14.00: Prelude to Differentiation of Functions of Several Variables
  31. 14.01: Functions of Several Variables
  32. 14.1E: Exercises for Section 14.1
  33. 14.02: Limits and Continuity
  34. 14.2E: Exercises for Section 14.2
  35. 14.03: Partial Derivatives
  36. 14.3E: Exercises for Section 14.3
  37. 14.04: Tangent Planes and Linear Approximations
  38. 14.4E: Exercises for Section 14.4
  39. 14.05: The Chain Rule for Multivariable Functions
  40. 14.5E: Exercises for Section 14.5
  41. 14.06: Directional Derivatives and the Gradient
  42. 14.6E: Exercises for Section 14.6
  43. 14.07: Maxima Minima Problems
  44. 14.7E: Exercises for Section 14.7
  45. 14.08: Lagrange Multipliers
  46. 14.8E: Exercises for Section 14.8
  47. 14.R: Chapter 14 Review Exercises
  48. 15: Multiple Integration
  49. 15.00: Prelude to Multiple Integration
  50. 15.01: Double Integrals over Rectangular Regions
  51. 15.1E: Exercises for Section 15.1
  52. 15.02: Double Integrals over General Regions
  53. 15.2E: Exercises for Section 15.2
  54. 15.03: Double Integrals in Polar Coordinates
  55. 15.3E: Exercises for Section 15.3
  56. 15.04: Triple Integrals
  57. 15.4E: Exercises for Section 15.4
  58. 15.05: Triple Integrals in Cylindrical and Spherical Coordinates
  59. 15.5E: Exercises for Section 15.5
  60. 15.06: Calculating Centers of Mass and Moments of Inertia
  61. 15.6E: Exercises for Section 15.6
  62. 15.07: Change of Variables in Multiple Integrals
  63. 15.7E: Exercises for Section 15.7
  64. 15.R: Chapter 15 Review Exercises
  65. 16: Vector Calculus
  66. 16.00: Prelude to Vector Calculus
  67. 16.01: Vector Fields
  68. 16.1E: Exercises for Section 16.1
  69. 16.02: Line Integrals
  70. 16.2E: Exercises for Section 16.2
  71. 16.03: Conservative Vector Fields
  72. 16.3E: Exercises for Section 16.3
  73. 16.04: Greens Theorem
  74. 16.4E: Exercises for Section 16.4
  75. 16.05: Divergence and Curl
  76. 16.5E: Exercises for Section 16.5
  77. 16.06: Surface Integrals
  78. 16.6E: Exercises for Section 16.6
  79. 16.07: Stokes Theorem
  80. 16.7E: Exercises for Section 16.7
  81. 16.08: The Divergence Theorem
  82. 16.8E: Exercises for Section 16.8
  83. 16.R: Chapter 16 Review Exercises
  84. 17: Appendices
  85. 17.00: Appendix A- Table of Derivatives
  86. 17.01: Appendix B- Table of Integrals