copyright kaplan aec education, 2008 calculus and differential equations outline overview...
DESCRIPTION
Copyright Kaplan AEC Education, 2008 Outline Overview Continued INTEGRAL CALCULUS, p. 51 Definition of an Integral Fundamental Theorems on Integrals –Moment of Inertia –Center of Gravity –WorkTRANSCRIPT
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Calculus and Differential Equations Outline Overview
DIFFERENTIAL CALCULUS, p. 45• Definition of a Function • Definition of a Derivative • Some Relations Among Derivatives • Table of Derivatives • Slope of a Curve: Tangent and Normal
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Outline Overview Continued
DIFFERENTIAL CALCULUS, p. 45• Maximum and Minimum Values of a Function • Points of Inflection of a Curve • Taylor and Maclaurin Series • Evaluation of Indeterminate Forms • Differential of a Function • Functions of Several Variables, Partial
Derivatives, and Differentials
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Outline Overview Continued
INTEGRAL CALCULUS, p. 51 • Definition of an Integral • Fundamental Theorems on Integrals
– Moment of Inertia– Center of Gravity– Work
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Outline Overview ContinuedDIFFERENTIAL
EQUATIONS, p.53 • Definitions • Notation • Equations of First Order
and First Degree– Variables
Separable– Linear Equation
• Second-Order Differential Equations
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Outline Overview Continued
DIFFERENTIAL EQUATIONS, p. 53• Constant Coefficients
– Variation of Parameters– Undetermined Coefficients
• Euler Equations• Laplace Transform
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Basic Rules for Derivatives
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Solution
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The Chain Rule
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Solution
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Maximum & Minimum Values of a Function
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Solution
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Concavity & Points of Inflection
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Solution
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Solution (continued)
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Differential Equations with Variables Separable
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Solution
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Taylor Series
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Solution
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Maclaurin Series
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Solution
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Second Order Linear Equations
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Solution
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Solution (continued)
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Euler Equations
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Solution
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Method of Variation of Parameters
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Solution
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Laplace Transforms
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Solution
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Convolution
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Solution