MAT-004A - Multivariable Calculus v2

Mathematics

Tác giả: Robert Reed
Nhà xuất bản: Mission College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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12: Vectors in Space
12.00: Prelude to Vectors in Space
12.01: Vectors in the Plane
12.1E: Exercises for Section 12.1
12.02: Vectors in Three Dimensions
12.2E: Exercises for Section 12.2
12.03: The Dot Product
12.3E: Exercises for Section 12.3
12.04: The Cross Product
12.4E: Exercises for Section 12.4
12.05: Equations of Lines and Planes in Space
12.5E: Exercises for Section 12.5
12.06: Quadric Surfaces
12.6E: Exercises for Section 12.6
12.07: Cylindrical and Spherical Coordinates
12.7E: Exercises for Section 12.7
12.R: Chapter 12 Review Exercises
13: Vector-Valued Functions
13.00: Prelude to Vector-Valued Functions
13.01: Vector-Valued Functions and Space Curves
13.1E: Exercises for Section 13.1
13.02: Calculus of Vector-Valued Functions
13.2E: Exercises for Section 13.2
13.03: Arc Length and Curvature
13.3E: Exercises for Section 13.3
13.04: Motion in Space
13.4E: Exercises for Section 13.4
13.R: Chapter 13 Review Exercises
14: Differentiation of Functions of Several Variables
14.00: Prelude to Differentiation of Functions of Several Variables
14.01: Functions of Several Variables
14.1E: Exercises for Section 14.1
14.02: Limits and Continuity
14.2E: Exercises for Section 14.2
14.03: Partial Derivatives
14.3E: Exercises for Section 14.3
14.04: Tangent Planes and Linear Approximations
14.4E: Exercises for Section 14.4
14.05: The Chain Rule for Multivariable Functions
14.5E: Exercises for Section 14.5
14.06: Directional Derivatives and the Gradient
14.6E: Exercises for Section 14.6
14.07: Maxima Minima Problems
14.7E: Exercises for Section 14.7
14.08: Lagrange Multipliers
14.8E: Exercises for Section 14.8
14.R: Chapter 14 Review Exercises
15: Multiple Integration
15.00: Prelude to Multiple Integration
15.01: Double Integrals over Rectangular Regions
15.1E: Exercises for Section 15.1
15.02: Double Integrals over General Regions
15.2E: Exercises for Section 15.2
15.03: Double Integrals in Polar Coordinates
15.3E: Exercises for Section 15.3
15.04: Triple Integrals
15.4E: Exercises for Section 15.4
15.05: Triple Integrals in Cylindrical and Spherical Coordinates
15.5E: Exercises for Section 15.5
15.06: Calculating Centers of Mass and Moments of Inertia
15.6E: Exercises for Section 15.6
15.07: Change of Variables in Multiple Integrals
15.7E: Exercises for Section 15.7
15.R: Chapter 15 Review Exercises
16: Vector Calculus
16.00: Prelude to Vector Calculus
16.01: Vector Fields
16.1E: Exercises for Section 16.1
16.02: Line Integrals
16.2E: Exercises for Section 16.2
16.03: Conservative Vector Fields
16.3E: Exercises for Section 16.3
16.04: Greens Theorem
16.4E: Exercises for Section 16.4
16.05: Divergence and Curl
16.5E: Exercises for Section 16.5
16.06: Surface Integrals
16.6E: Exercises for Section 16.6
16.07: Stokes Theorem
16.7E: Exercises for Section 16.7
16.08: The Divergence Theorem
16.8E: Exercises for Section 16.8
16.R: Chapter 16 Review Exercises
17: Appendices
17.00: Appendix A- Table of Derivatives
17.01: Appendix B- Table of Integrals