Calculus Study Guide
$7.26About Calculus 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
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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Price update Price changed from $9.99 to $7.26.
What are users saying about Calculus Study Guide
Y
by Y####:
by Y####:
I click on a subject, and it does not show anything. It says it can't find URL. This is like buying a book with some of the chapters completely torn off. The display is compatible only with smart phone screens. Im using xoom but the display is not maximized. Restricted only to 20% of the xoom screen.
Y
by Y####:
by Y####:
A very comprehensive and clear written reference. Still, I would hope for some level of interactivity for the price.
by M####:
This is an excellent calculus reference book for a mobile device. I have it on my Note 4. It even covers some topics on differential equation and series. The only reason it doesn't get a 5 is that it has no settings (for instance for the global text size), nor does it have any interactivity. The language is Wikipedia-like and Wikipedia is used extensively as a reference. Still, it is a thorough mobile reference and is worth the money.