MATH 2E: Multivariable Calculus

The differential and integral calculus of vector-valued functions. Implicit and inverse function theorems. Line and surface integrals, divergence and curl, theorems of Greens, Gauss, and Stokes.

Mathematics

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Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 34 mục

Chapter 14: Multiple Integration
14.1: Iterated Integrals and Area
14.1E: Iterated Integrals and Area (Exercises)
14.2a: Double Integrals Over Rectangular Regions
14.2aE: Double Integrals Part 1 (Exercises)
14.2b: Double Integrals Over General Regions
14.2bE: Double Integrals Part 2 (Exercises)
14.3: Double Integration with Polar Coordinates
14.3b: Double Integrals in Polar Coordinates
14.3E: Double Integrals in Polar Coordinates (Exercises)
14.4: Triple Integrals
14.4E: Triple Integrals (Exercises 2)
14.4E: Triple Integrals (Exercises)
14.5: Triple Integrals in Cylindrical and Spherical Coordinates
14.6: Calculating Centers of Mass and Moments of Inertia
14.7: Change of Variables in Multiple Integrals (Jacobians)
Chapter 14 Review Exercises
Chapter 15: Vector Fields Line Integrals and Vector Theorems
15.0: Introduction to Vector Field Chapter
15.1: Vector Fields
15.1E: Vector Fields (Exercises)
15.2: Line Integrals
15.2: Line Integrals - Part 2
15.2E: Line Integrals (Exercises)
15.3: Conservative Vector Fields
15.3E: Conservative Vector Fields (Exercises)
15.4: Green's Theorem
15.4E: Green's Theorem (Exercises)
15.5: Divergence and Curl
15.5E: Divergence and Curl (Exercises)
15.6: Surface Integrals
15.7: Stokes' Theorem
15.8: The Divergence Theorem
Chapter 15 Review Exercises