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Contents - Lessons & Practice

Math

Calculus Volume 3

OpenStax book

OS

Chapter set

Calculus Volume 3

OpenStax · one set on each chapter

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items, drawn without repeats

Questions from the 7 chapters of Calculus Volume 3. Each item asks for a term, a definition, or a claim the chapter itself states.

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OpenStax

Calculus Volume 3

7 lessons

One lesson for each chapter of Calculus Volume 3, in the book’s order. The lesson teaches what that chapter says you need to know, then checks it.

  1. 1Parametric Equations and Polar CoordinatesParametric equations can describe complicated curves that are difficult or perhaps impossible to describe using rectangular coordinates
  2. 2Vectors in SpaceWe can add vectors by using the parallelogram method or the triangle method to find the sum.
  3. 3Vector-Valued FunctionsTo calculate the limit of a vector-valued function, calculate the limits of the component functions separately
  4. 4Differentiation of Functions of Several VariablesThe graph of a function of two variables is a surface in ℝ 3 and can be studied using level curves and vertical traces
  5. 5Multiple IntegrationWe can use Fubini’s theorem to write and evaluate a double integral as an iterated integral
  6. 6Vector CalculusA vector field F is called conservative if there exists a scalar function f such that ∇ f = F
  7. 7Second-Order Differential EquationsTo solve a nonhomogeneous linear second-order differential equation, first find the general solution to the complementary equation, then find a particular solution to the nonhomogeneous equation