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CLP-4 Vector Calculus (Feldman, Rechnitzer, and Yeager)
This textbook covers Vector Calculus. There are chapters on curves, vector fields, surface integrals and integral theorems (such as the divergence theorem).
- Author
- Joel Feldman, Andrew Rechnitzer and Elyse Yeager
- Publisher
- University of British Columbia
- Source
- LibreTexts
- License
- CC BY-NC-SA
- Language
- EN
- Category
- Basic Sciences
Contents· 49 sections
- 01: Curves
- 1.01: Derivatives Velocity Etc.
- 1.02: Reparametrization
- 1.03: Curvature
- 1.04: Curves in Three Dimensions
- 1.05: A Compendium of Curve Formula
- 1.06: Integrating Along a Curve
- 1.07: Sliding on a Curve
- 1.08: Optional Polar Coordinates
- 1.09: Optional Central Forces
- 1.10: Optional Planetary Motion
- 1.11: Optional The Astroid
- 1.12: Optional Parametrizing Circles
- 02: Vector Fields
- 2.01: Definitions and First Examples
- 2.02: Optional Field Lines
- 2.03: Conservative Vector Fields
- 2.04: Line Integrals
- 2.05: Optional The Pendulum
- 03: Surface Integrals
- 3.01: Parametrized Surfaces
- 3.02: Tangent Planes
- 3.03: Surface Integrals
- 3.04: Interpretation of Flux Integrals
- 3.05: Orientation of Surfaces
- 04: Integral Theorems
- 4.01: Gradient Divergence and Curl
- 4.02: The Divergence Theorem
- 4.03: Green's Theorem
- 4.04: Stokes' Theorem
- 4.05: Optional Which Vector Fields Obey F 0
- 4.06: Really Optional More Interpretation of Div and Curl
- 4.07: Optional A Generalized Stokes' Theorem
- 05: True False and Other Short Questions
- 5.02: Exercises
- 06: Appendices
- 6.01: A Appendices
- 6.1.01: A.1 Trigonometry
- 6.1.02: A.2 Powers and Logarithms
- 6.1.03: A.3 Table of Derivatives
- 6.1.04: A.4 Table of Integrals
- 6.1.05: A.5 Table of Taylor Expansions
- 6.1.06: A.6 3d Coordinate Systems
- 6.1.07: A.7 ISO Coordinate System Notation
- 6.1.08: A.8 Conic Sections and Quadric Surfaces
- 6.1.09: A.9 Review of Linear Ordinary Differential Equations
- 6.02: B Hints for Exercises
- 6.03: C Answers to Exercises
- 6.04: D Solutions to Exercises