Math 112 (MATH112)
University of the Fraser Valley (UFV)
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Integral Calculus Complete Note Package
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Full semester's worth of notes for a first-year (integral) calculus course. Including methods of integration, applications of integrations, and sequences and series. Notes include theorems, examples, steps to solving equations, etc.
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Definition of a Definite Integral | Calculus II Notes
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Defines Riemann sums, summations, and definite integrals with examples and diagrams
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Properties of Definite Integrals | Calculus II Notes
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Highlights the properties of definite integrals and provides well-explained examples and diagrams
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Fundamental Theorem of Calculus
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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
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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
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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
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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
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It contains step-by-step instructions on solving examples for integration by parts
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Trigonometric Substitutions | Calculus II Notes
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Highlights common trigonometric substitutions and when and how to use them with examples
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Partial Fraction Decomposition | Calculus II Notes
- Summary • 4 pages • 2023
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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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