Math 112 (MATH112)

University of the Fraser Valley (UFV)

Here are the best resources to pass Math 112 (MATH112). Find Math 112 (MATH112) study guides, notes, assignments, and much more.

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Definition of a Definite Integral | Calculus II Notes
  • Summary

    Definition of a Definite Integral | Calculus II Notes

  • Defines Riemann sums, summations, and definite integrals with examples and diagrams
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Properties of Definite Integrals | Calculus II Notes
  • Summary

    Properties of Definite Integrals | Calculus II Notes

  • Highlights the properties of definite integrals and provides well-explained examples and diagrams
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Fundamental Theorem of Calculus
  • Summary

    Fundamental Theorem of Calculus

  • Explains the fundamental theorem of calculus and provides well-explained examples and physical interpretations of theorems
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Method of Substitution | Calculus II Notes
  • Summary

    Method of Substitution | Calculus II Notes

  • Describes the steps needed to use the substitution method of integration as well as examples.
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Area Between Curves | Calculus II Notes
  • Summary

    Area Between Curves | Calculus II Notes

  • Provides a concise description of how to solve the area between curves using integration. Includes examples and step-by-step instructions.
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Volume | Calculus II Notes
  • Summary

    Volume | Calculus II Notes

  • Explains how to set up an integral to solve for volume for general shapes and circular symmetry. Provides formulas and examples for solids of revolution; disk method, washer method, and shell method.
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Integration by Parts | Calculus II Notes
  • Summary

    Integration by Parts | Calculus II Notes

  • It contains step-by-step instructions on solving examples for integration by parts
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Trigonometric Substitutions | Calculus II Notes
  • Summary

    Trigonometric Substitutions | Calculus II Notes

  • Highlights common trigonometric substitutions and when and how to use them with examples
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Partial Fraction Decomposition | Calculus II Notes
  • Summary

    Partial Fraction Decomposition | Calculus II Notes

  • Details how to integrate some rational functions using partial decomposition. Includes broken down and step by step instructions to solve examples for linear factor cases and irreducible quadratic factor in the denominator.
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Numeric Integration | Calculus II Notesq
  • Summary

    Numeric Integration | Calculus II Notesq

  • Numeric approximation for an integral by using the midpoint rule, trapezoidal rule, and simpson's rule. Includes examples with diagrams and explanations.
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Improper Integrals | Calculus II Notes
  • Summary

    Improper Integrals | Calculus II Notes

  • Defines an improper integral and breaks down the steps for solving improper integrals with either an infinite domain of integration or with an unbounded integrated.
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Average Value of a Function | Calculus II Notes
  • Summary

    Average Value of a Function | Calculus II Notes

  • Defines the average value of a function and gives detailed examples on how to solve
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Separable Differential Equations | Calculus II Notes
  • Summary

    Separable Differential Equations | Calculus II Notes

  • Defines differential equations, gives step by step examples on how to soble separable differential equations (both general and particular solutions) and initial conditions,
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Sequences | Calculus II Notes
  • Summary

    Sequences | Calculus II Notes

  • Includes Definitions, notations, and examples. Explains convergence to a limit, monotone sequence theorem, and bounding terms.
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Introduction to Series | Calculus II Notes
  • Summary

    Introduction to Series | Calculus II Notes

  • An introduction to series, including definitions, relation to integration, theorems and detailed examples
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The Divergence Test | Calculus II Notes
  • Summary

    The Divergence Test | Calculus II Notes

  • Highlights theorems and gives detailed and explained examples on the divergence test
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The Integral Test | Calculus II Notes
  • Summary

    The Integral Test | Calculus II Notes

  • Highlights theorems and gives detailed and explained examples on the integral test for convergence
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Comparison Test | Calculus II Notes
  • Summary

    Comparison Test | Calculus II Notes

  • Highlights theorems and gives detailed and explained examples on the comparison test
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Alternating Series Test | Calculus II Notes
  • Summary

    Alternating Series Test | Calculus II Notes

  • Highlights theorems and gives detailed and explained examples on the alternating series test
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