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Introduction
Kuei-Nuan Lin
Section 1.1 3-dimensional space
Section 1.2 Vectors
Section 1.3 Dot Product
Section 1.4 Cross Product
Section 1.5 Equations of Lines
Section 1.6 Equations of Planes
Section 1.7 Quadric Surfaces
Section 1.8 Quadric Surfaces II
Section 1.9 Cylindrical and Spherical Coordinates
Section 2.1 Vector Functions
Section 2.2 Calculus of Vector Functions
Section 2.3 Arc Length for Vector Functions
Section 2.4 Curvature
Section 2.5 Motion in Space
Section 3.1 Functions of Several Variables
Section 3.2 Limit and Continuity
Section 3.3 Partial Derivatives
Section 3.4 Tangent Planes
Section 3.5 Chain Rules
Section 3.6 Directional Derivative Gradient
Section 3.7 Maxima and Minima
Section 3.8 Application for finding Maxima and Minima
Section 3.9 Lagrange Multipliers
Section 4.1 Double Integrals
Section 4.2 Double Integrals over General Regions
Section 4.3 Double Integrals Polar
Section 4.4 Triple Integrals
Section 4.5 Cylindrical Integral
Section 4.6 Spherical Integral
Section 4.7 Change of Variables
Section 4.8 Mass
Section 4.9 Surface Area
Section 5.1 Vector Fields
Section 5.2 Line Integral
Section 5.3 Work
Section 5.4 Fundamental Theorem of Line Integral
Section 6.1 Green's Theorem
Section 6.2 Extended Versions of Green's Theorem
Section 6.3 Curl
Section 6.4 Divergence
Section 6.5 Parametric Surfaces
Section 6.6 Parametric Surface Area
Section 6.7 Surface Integral
Section 6.8 Orientation of Surface
Section 6.9 Stokes' Theorem
Section 6.10 Divergence Theorem
Appendix
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Multivariable Calculus Copyright © by Kuei-Nuan Lin. All Rights Reserved.
