External
Calculus IV: Multivariable Calculus
- Author
- Vinh Kha Nguyen & Fatemeh Yarahmadi
- Publisher
- De Anza College
- Source
- LibreTexts
- License
- CC BY-NC-SA
- Language
- EN
- Category
- Basic Sciences
Contents· 56 sections
- 01: Differentiation of Functions of Several Variables
- 1.01: Functions of Several Variables
- 1.1E: Exercises for Section 1.1
- 1.02: Limits and Continuity
- 1.2E: Exercises for Section 1.2
- 1.03: Partial Derivatives
- 1.3E: Exercises for Section 1.3
- 1.04: Tangent Planes and Linear Approximations
- 1.4E: Exercises for Section 1.4
- 1.05: The Chain Rule for Multivariable Functions
- 1.5E: Exercises for Section 1.5
- 1.06: Directional Derivatives and the Gradient
- 1.6E: Exercises for Section 1.6
- 1.07: Maxima Minima Problems
- 1.7E: Exercises for Section 1.7
- 1.08: Lagrange Multipliers
- 1.8E: Exercises for Section 1.8
- 1.09: Chapter 1 Review Exercises
- 02: Multiple Integration
- 2.01: Double Integrals over Rectangular Regions
- 2.1E: Exercises
- 2.02: Double Integrals over General Regions
- 2.2E: Exercises
- 2.03: Double Integrals in Polar Coordinates
- 2.3E: Exercises
- 2.04: Triple Integrals
- 2.4E: Exercises
- 2.05: Cylindrical and Spherical Coordinates
- 2.5E: Exercises
- 2.06: Triple Integrals in Cylindrical and Spherical Coordinates
- 2.6E: Exercises
- 2.07: Calculating Centers of Mass and Moments of Inertia
- 2.7E: Exercises
- 2.08: Change of Variables in Multiple Integrals
- 2.8E: Exercises
- 2.09: Chapter 2 Review Exercises
- 03: Vector Calculus
- 3.01: Vector Fields
- 3.1E: Exercises
- 3.02: Line Integrals
- 3.2E: Exercises
- 3.03: Conservative Vector Fields
- 3.3E: Exercises
- 3.04: Greens Theorem
- 3.4E: Exercises
- 3.05: Divergence and Curl
- 3.5E: Exercises
- 3.06: Surface Area
- 3.6E: Exercises
- 3.07: Surface Integral
- 3.7E: Exercises
- 3.08: Stokes Theorem
- 3.8E: Exercises
- 3.09: The Divergence Theorem
- 3.9E: Exercises
- 3.10: Chapter 3 Review Exercises