CALCULUS VOLUME 2 COURSE
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The Calculus Volume 2 course contains 50 self-grading microlearning lessons 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 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

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  • Approximating Areas
  • The Definite Integral
  • The Fundamental Theorem of Calculus
  • Integration Formulas and the Net Change Theorem
  • Substitution
  • Integrals Involving Exponential and Logarithmic Functions
  • Integrals Resulting in Inverse Trigonometric Functions
  • Final Assessment
  • Areas between Curves
  • Determining Volumes by Slicing
  • Volumes of Revolution: Cylindrical Shells
  • Arc Length of a Curve and Surface Area
  • Physical Applications
  • Moments and Centers of Mass
  • Integrals, Exponential Functions, and Logarithms
  • Exponential Growth and Decay
  • Calculus of the Hyperbolic Functions
  • Final Assessment
  • Integration by Parts
  • Trigonometric Integrals
  • Trigonometric Substitution
  • Partial Fractions
  • Other Strategies for Integration
  • Numerical Integration
  • Improper Integrals
  • Final Assessment
  • Basics of Differential Equations
  • Direction Fields and Numerical Methods
  • Separable Equations
  • The Logistic Equation
  • First-order Linear Equations
  • Final Assessment
  • Sequences
  • Infinite Series
  • The Divergence and Integral Tests
  • Comparison Tests
  • Alternating Series
  • Ratio and Root Tests
  • Final Assessment
  • Power Series and Functions
  • Properties of Power Series
  • Taylor and Maclaurin Series
  • Working with Taylor Series
  • Final Assessment
  • Parametric Equations
  • Calculus of Parametric Curves
  • Polar Coordinates
  • Area and Arc Length in Polar Coordinates
  • Conic Sections
  • Final Assessment
GET THE CALCULUS VOLUME 2 COURSE

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