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Math 4A: Multivariable Calculus

Nguồn ngoài

Math 4A: Multivariable Calculus

Math 4A: Multivariable Calculus at Mission College is the third and final part of a three-semester calculus sequence for students in math, physics, and engineering majors. The course covers topics such as: Vector-valued functions, Calculus of functions with more than one variable, Partial derivatives, Differentials, Gradients, Lagrange multipliers, Multiple integration, Line integrals, Surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence theorem.

Mathematics
Tác giả
Zoya Kravets
Nhà xuất bản
Mission College
Nguồn
LibreTexts
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 48 mục
  1. 01: Vectors in Space
  2. 1.01: Prelude to Vectors in Space
  3. 1.02: Vectors in the Plane
  4. 1.03: Vectors in Three Dimensions
  5. 1.04: The Dot Product
  6. 1.05: The Cross Product
  7. 1.06: Equations of Lines and Planes in Space
  8. 1.07: Cylindrical and Quadric Surfaces
  9. 1.08: Cylindrical and Spherical Coordinates
  10. 1.E: Vectors in Space (Exercises)
  11. 02: Vector-Valued Functions
  12. 2.01: Prelude to Vector-Valued Functions
  13. 2.02: Vector-Valued Functions and Space Curves
  14. 2.03: Calculus of Vector-Valued Functions
  15. 2.04: Arc Length and Curvature
  16. 2.05: Motion in Space
  17. 2.E: Vector-Valued Functions (Exercises)
  18. 03: Functions of Several Variables
  19. 3.01: Prelude to Differentiation of Functions of Several Variables
  20. 3.02: Functions of Several Variables
  21. 3.03: Limits and Continuity
  22. 3.04: Partial Derivatives
  23. 3.05: Tangent Planes and Linear Approximations
  24. 3.06: The Chain Rule for Multivariable Functions
  25. 3.07: Directional Derivatives and the Gradient
  26. 3.08: Maxima Minima Problems
  27. 3.09: Lagrange Multipliers
  28. 3.E: Differentiation of Functions of Several Variables (Exercise)
  29. 04: Multiple Integration
  30. 4.01: Iterated Integrals and Area
  31. 4.02: Double Integration and Volume
  32. 4.03: Double Integrals in Polar Coordinates
  33. 4.04: Triple Integrals
  34. 4.05: Triple Integrals in Cylindrical and Spherical Coordinates
  35. 4.06: Calculating Centers of Mass and Moments of Inertia
  36. 4.07: Change of Variables in Multiple Integrals
  37. 4.08: Multiple Integration (Exercises)
  38. 05: Vector Calculus
  39. 5.01: Prelude to Vector Calculus
  40. 5.02: Vector Fields
  41. 5.03: Line Integrals
  42. 5.04: Conservative Vector Fields
  43. 5.05: Greens Theorem
  44. 5.06: Divergence and Curl
  45. 5.07: Surface Integrals
  46. 5.08: Stokes Theorem
  47. 5.09: The Divergence Theorem
  48. 5.E: Vector Calculus (Exercises)