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CALCULUS STUDY GUIDEBoost Your grades with this illustrated study guide. You will use it from high school all the way to graduate school and beyond. FREE chapters on Limits, Derivatives, Table of Derivatives in the trial version.
Audience:Intended for everyone interested in Math and Science, particularly high school, undergraduate, and graduate students. Features:
Table of Contents:Introduction: Functions Limits and Continuity: Limit of a Sequence | Limit of a Function | Limit of a function at infinity | Continuity | Classification of Discontinuities Derivative: Computing the derivative
| Quotient Rules | The Chain Rule | Implicit Function | Related Rates | Product
Rule Integration (Antiderivative): Integral
| Arbitrary Constant of Integration | The Fundamental Theorem of Calculus Logarithms and Exponentials: E - base of natural logarithm | Ln(x) | Hiperbolic functions Applications of the Definite Integral in Geometry: Area of a Surface of Revolution | Solid of Revolution Techniques of Integration: Integration by Parts | The ILATE rule | Integration by Substitution | Trigonometric Substitution | Partial Fractions in Integration of Rational Function | Numeric Integration | Simpson Rule Principles of Integral Evaluation: Methods of Contour Integration | Cauchy's Integral Formula | Improper Integrals | L'Hopital's Rule Differential Equations: First-Order
Differential Equation | Linear Differential Equation Numerical Integration Methods: Numerical Ordinary Differential Equations | Euler's Method | Runge-Kutta Methods | Multistep Method Series: Taylor Polynomials | Taylor Series | List of Taylor series | Lagrange Polynomial
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