Calculus Study Guide 12.2
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Summary: Calculus Study Guide FEATURES: - Includes both Calculus I and II - Clear and concise explanations - Difficult concepts are explained in simple terms - Illustrated with graphs and diagrams - Search for the words or phrases - Access the guide anytime, anywhere - at home, on the train, in the subway. - Use your down time to prepare for an exam. - Always have the guide available for a quick reference. 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 Table of derivatives: General differentiation rules | Derivatives of simple functions | Derivatives of exponential and logarithmic functions | Derivatives of trigonometric functions | Derivatives of hyperbolic functions | Derivatives of Inverse Trigonometric Functions Integration (Antiderivative): Integral | Arbitrary Constant of Integration | The Fundamental Theorem of Calculus Table of Integrals: Rules for integration of general functions | Integrals of simple functions | Rational functions | Irrational functions | Logarithms | Exponential functions | Trigonometric functions | Inverse Trigonometric Functions | Hyperbolic functions | Inverse hyperbolic functions | Definite integrals lacking closed-form antiderivatives | The "sophomore's dream" | Integral Curve | Euler-Maclaurin Formula | Trapezium rule 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 Examples: A separable first order linear ordinary differential equation | Non-separable first order linear ordinary differential equations | A simple mathematical model | Harmonic Oscillator | Stiff 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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Updated: 2011-10-11
Price: $9.99
Application description
Boost Your grades with this illustrated Study Guide. You will use it from high school all the way to graduate school and beyond.
Features
- Includes both Calculus I and II
- Clear and concise explanations
- Difficult concepts are explained in simple terms
- Illustrated with graphs and diagrams
- Search for the words or phrases
- Access the guide anytime, anywhere - at home, on the train, in the subway.
- Use your down time to prepare for an exam.
- Always have the guide available for a quick reference.
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
Table of derivatives: General differentiation rules | Derivatives of simple functions | Derivatives of exponential and logarithmic functions | Derivatives of trigonometric functions | Derivatives of hyperbolic functions | Derivatives of Inverse Trigonometric Functions
Integration (Antiderivative): Integral | Arbitrary Constant of Integration | The Fundamental Theorem of Calculus
Table of Integrals: Rules for integration of general functions | Integrals of simple functions | Rational functions | Irrational functions | Logarithms | Exponential functions | Trigonometric functions | Inverse Trigonometric Functions | Hyperbolic functions | Inverse hyperbolic functions | Definite integrals lacking closed-form antiderivatives | The "sophomore's dream" | Integral Curve | Euler-Maclaurin Formula | Trapezium rule
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
Examples: A separable first order linear ordinary differential equation | Non-separable first order linear ordinary differential equations | A simple mathematical model | Harmonic Oscillator | Stiff 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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handy e-book that is very interesting. Is really impressive.Suitable for people who like reading good books
Price: $9.99
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