Calculus Study Guide v.12.2
Requirements: 1.5+
Overview:
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
This app has NO advertisements
More Info:
Download Instructions: by Nihon
http://uploaded.net/file/fb22s7no
Requirements: 1.5+
Overview:
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
This app has NO advertisements
More Info:
Code:
https://play.google.com/store/apps/details?id=com.mobilereference.calculus
Download Instructions: by Nihon
http://uploaded.net/file/fb22s7no
trmpereira — Thu Mar 14, 2013 10:14 pm
