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The Calculus Volume 3 course contains 50 self-grading microlearning packages that work instantly inside your Learning Management System (LMS).

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The course guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the course in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

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  • Parametric Equations
  • Calculus of Parametric Curves
  • Polar Coordinates
  • Area and Arc Length in Polar Coordinates
  • Conic Sections
  • Final Assessment
  • Vectors in the Plane
  • Vectors in Three Dimensions
  • The Dot Product
  • The Cross Product
  • Equations of Lines and Planes in Space
  • Quadric Surfaces
  • Cylindrical and Spherical Coordinates
  • Final Assessment
  • Vector-Valued Functions and Space Curves
  • Calculus of Vector-Valued Functions
  • Arc Length and Curvature
  • Motion in Space
  • Final Assessment
  • Functions of Several Variables
  • Limits and Continuity
  • Partial Derivatives
  • Tangent Planes and Linear Approximations
  • The Chain Rule
  • Directional Derivatives and the Gradient
  • Maxima/Minima Problems
  • Lagrange Multipliers
  • Final Assessment
  • Double Integrals over Rectangular Regions
  • Double Integrals over General Regions
  • Double Integrals in Polar Coordinates
  • Triple Integrals
  • Triple Integrals in Cylindrical and Spherical Coordinates
  • Calculating Centers of Mass and Moments of Inertia
  • Change of Variables in Multiple Integrals
  • Final Assessment
  • Vector Fields
  • Line Integrals
  • Conservative Vector Fields
  • Green’s Theorem
  • Divergence and Curl
  • Surface Integrals
  • Stokes’ Theorem
  • The Divergence Theorem
  • Final Assessment
  • Second-Order Linear Equations
  • Nonhomogeneous Linear Equations
  • Applications
  • Series Solutions of Differential Equations
  • Final Assessment

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