Calculus IV: Multivariable Calculus

Mathematics

Tác giả: Vinh Kha Nguyen & Fatemeh Yarahmadi
Nhà xuất bản: De Anza College
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 56 mục

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