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Math C280: Calculus III

External

Math C280: Calculus III

Mathematics
Author
Chau D. Tran
Publisher
coastline
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 97 sections
  1. 01: Vectors and the Geometry of Space
  2. 1.01: Vectors in the Plane
  3. 1.1E: Exercises for Vectors in the Plane
  4. 1.02: Vectors in Space
  5. 1.2E: Exercises for Vectors in Space
  6. 1.03: The Dot Product
  7. 1.3E: Exercises for The Dot Product
  8. 1.04: The Cross Product
  9. 1.4E: Exercises for The Cross Product
  10. 1.05: Equations of Lines and Planes in Space
  11. 1.5E: Exercises for Equations of Lines and Planes in Space
  12. 1.06: Quadric Surfaces
  13. 1.6E: Exercises for Quadric Surfaces
  14. 1.07: Cylindrical and Spherical Coordinates
  15. 1.7E: Exercises for Cylindrical and Spherical Coordinates
  16. 1.08: Chapter 11 Review Exercises
  17. 02: Vector-valued Functions
  18. 2.01: Vector-Valued Functions and Space Curves
  19. 2.1E: Exercises for Section 12.1
  20. 2.02: The Calculus of Vector-Valued Functions
  21. 2.2E: Exercises for Section 12.2
  22. 2.03: The Calculus of Vector-Valued Functions II
  23. 2.04: Motion in Space
  24. 2.4E: Exercises for Section 12.3
  25. 2.05: Arc Length and Curvature
  26. 2.5E: Exercises for Section 12.4
  27. 2.06: Acceleration and Kepler's Laws
  28. 2.6E: Exercises for Section 12.5
  29. 2.07: Review Exercises for Chapter 12
  30. 2.08: More Review Exercises for Chapter 12
  31. 03: Functions of Multiple Variables and Partial Derivatives
  32. 3.01: Introduction to Functions of Multiple Variables
  33. 3.02: Functions of Multiple Variables
  34. 3.2E: Functions of Multiple Variables (Exercises)
  35. 3.03: Limits and Continuity
  36. 3.3E: Exercises for Limits and Continuity
  37. 3.04: Partial Derivatives
  38. 3.4E: Partial Derivatives (Exercises)
  39. 3.05: Tangent Planes Linear Approximations and the Total Differential
  40. 3.5E: Tangent Planes Linear Approximations and the Total Differential (Exercises)
  41. 3.06: The Chain Rule for Functions of Multiple Variables
  42. 3.6E: The Chain Rule for Functions of Multiple Variables (Exercises)
  43. 3.07: Directional Derivatives and the Gradient
  44. 3.7E: Directional Derivatives and the Gradient (Exercises)
  45. 3.08: Taylor Polynomials of Functions of Two Variables
  46. 3.8E: Taylor Polynomials of Functions of Two Variables (Exercises)
  47. 3.09: Optimization of Functions of Several Variables
  48. 3.9E: Optimization of Functions of Several Variables (Exercises)
  49. 3.10: Constrained Optimization
  50. 3.10E: Optimization of Functions of Several Variables (Exercises)
  51. 3.11: Lagrange Multipliers
  52. 3.11E: Exercises for Lagrange Multipliers
  53. 3.12: Chapter 13 Review Exercises
  54. 04: Multiple Integration
  55. 4.01: Iterated Integrals and Area
  56. 4.1E: Iterated Integrals and Area (Exercises)
  57. 4.02: Double Integrals Over Rectangular Regions
  58. 4.2.01: Double Integrals Part 1 (Exercises)
  59. 4.03: Double Integrals Over General Regions
  60. 4.3.01: Double Integrals Part 2 (Exercises)
  61. 4.04: Double Integration with Polar Coordinates
  62. 4.4b: Double Integrals in Polar Coordinates
  63. 4.4E: Double Integrals in Polar Coordinates (Exercises)
  64. 4.05: Triple Integrals
  65. 4.5E: Triple Integrals (Exercises)
  66. 4.06: Triple Integrals in Cylindrical and Spherical Coordinates
  67. 4.6E: Exercises for Section 14.5
  68. 4.07: Calculating Centers of Mass and Moments of Inertia
  69. 4.7E: Exercises for Section 14.6
  70. 4.08: Change of Variables in Multiple Integrals (Jacobians)
  71. 4.8E: Exercises for Section 14.7
  72. 4.09: Review Exercises for Chapter 14
  73. 4.10: More Chapter 14 Review Exercises
  74. 05: Vector Fields Line Integrals and Vector Theorems
  75. 5.01: Introduction to Vector Field Chapter
  76. 5.02: Vector Fields
  77. 5.2E: Exercises for Section 15.1
  78. 5.03: Line Integrals
  79. 5.3.01: Line Integrals - Part 2
  80. 5.3E: Exercises for Section 15.2
  81. 5.04: Conservative Vector Fields
  82. 5.4E: Exercises for Section 15.3
  83. 5.05: Green's Theorem
  84. 5.5E: Exercises for Section 15.4
  85. 5.06: Divergence and Curl
  86. 5.6E: Divergence and Curl (Exercises)
  87. 5.07: Surface Integrals
  88. 5.7E: Exercises for Section 15.6
  89. 5.08: Stokes' Theorem
  90. 5.8E: Exercises for Section 15.7
  91. 5.09: The Divergence Theorem
  92. 5.9E: Exercises for Section 15.8
  93. 06: Appendices
  94. 6.01: Trigonometric Identities
  95. 6.02: Table of Derivatives
  96. 6.03: Table of Integrals
  97. 6.04: Table of Laplace Transforms