Calculus 3

Course Info

Table of Contents

Chapter 11 – VECTORS AND THE GEOMETRY OF SPACE

  • 11.1  Vectors in the Plane
  • 11.6  Surfaces in Space
  • 11.7  Cylindrical and Spherical Coordinates

Chapter 12 – VECTOR-VALUED FUNCTIONS

  • 12.1  Vector-Valued Functions
  • 12.3  Velocity and Acceleration
  • 12.5  Arc Length and Curvature

Chapter 13 – FUNCTIONS OF SEVERAL VARIABLES

  • 13.1  Introduction to Functions of Several Variables
  • 13.2  Limits and Continuity
  • 13.4  Differentials
  • 13.5  Chain Rules for Functions of Several Variables
  • 13.6  Directional Derivatives and Gradients
  • 13.8  Extrema of Function of Two Variables
  • 13.9  Applications of Extrema of Functions in Two Variables
  • 13.10  Lagrange Multipliers

Chapter 14 – MULTIPLE INTEGRATION

  • 14.1  Iterated Integrals and Area in the Plane
  • 14.3  Change of Variables: Polar Coordinates
  • 14.4  Center of Mass and Moments of Inertia
  • 14.5  Surface Area
  • 14.6  Triple Integrals and Applications
  • 14.8  Change of Variables: Jacobians

Chapter 15 – VECTOR ANALYSIS

  • 15.1  Vector Fields
  • 15.3  Conservative Vector Fields and Independence of Path
  • 15.5  Parametric Surfaces
  • 15.6  Surface Integrals
  • 15.7  Divergence Theorem

Chapter 16 – ADDITIONAL TOPICS IN DIFFERENTIAL EQUATIONS

  • 16.1  Exact First-Order Equations
  • 16.2  Second-Order Homogeneous Linear Equations
  • 16.3  Second-Order Nonhomogeneous Linear Equations
  • 16.4  Series Solutions of Differential Equations

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