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 Part 1: 3-Dimensional Space 1-1 The 3-D Coordinate System 1-2 Equations of Lines 1-3 Equations of Planes 1-4 Quadric Surfaces 1-5 Functions of Several Variables 1-6 Vector Functions 1-7  Calculus with Vector Functions 1-8 Tangent, Normal and Binormal Vectors 1-9 Arc Length with Vector Functions 1-10 Velocity and Acceleration 1-11 Curvature 1-12 Cylindrical Coordinates 1-13 Spherical Coordinates Part 2: Partial Derivatives 2-1 Limits 2-2 Parital Derivatives 2-3 Interpretations of Partial Derivatives 2-4 Higher Order Partial Derivatives 2-5 Differentials 2-6 Chain Rule 2-7  Directional Derivatives Part 3: Applications of Partial Derivatives 3-1 Tangent Planes and Linear Approximations 3-2 Gradient Vector, Tangent Planes and Normal Lingfgfes 3-3 Relative Minimums and Maximums 3-4 Absolute Minimums and Maximums 3-5 Lagrange Multipliers Part 4: Multiple Integrals 4-1 Double Integrals 4-2 Iterated Integrals 4-3 Double Integrals over General Regions 4-4 Double Integrals in Polar Coordinates 4-5 Triple Integrals 4-6 Triple Integrals in Cylindrical Coordinates 4-7 Triple Integrals in Spherical Coordinates 4-8 Change of Variables 4-9 Surface Area 4-10 Area and Volume Revisited Part 5: Line Integrals 5-1 Vector Fields 5-2 Line Integrals - Part I 5-3 Line Integrals - Part II 5-4 Line Integrals of Vector Fields 5-5 Fundamental Theorem for Line Integrals 5-6 Conservative Vector Fields 5-7 Green`s Theorem 5-8 Curl and Divergence Part 6: Surface Integrals 6-1 Parametric Surfaces 6-2 Surface Integrals 6-3 Surface Integrals of Vector Fields 6-4 Stokes' Theorem 6-5 Divergence Theorem

 David L. Heiserman, Editor Copyright ©  SweetHaven Publishing Services All Rights Reserved

Revised: June 06, 2015