# Description

A comprehensive calculus reference guide of identities, derivatives and integrals used by students, engineers and scientists.Your feedback is greatly appreciated.

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# What's New

Minor name change

# Additional information

Updated

June 11, 2011

Size

2.1M

Installs

10 - 50

Current Version

1.4

Requires Android

1.6 and up

Content Rating

Everyone

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HM Direct LLC

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# Similar

## 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

## Pre-Calculus and Calculus

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You have limited access to the content provided.

In this mode you can access 2 tutorials, 1 quiz, and 1 set of flashcards.

For full access to the content, please purchase this application.

You can purchase Pre-Calculus and Calculus application from within this app just for $1.99 each.

The app provides:

1. Snack sized chapters for easy learning.

2. Bite sized flashcards to memorize key concepts.

3. Simple and easy quizzes for self-assessment.

Appropriate for all ages and professions.

This app provides a quick summary of essential concepts in Pre-Calculus and Calculus via easy to grasp snack sized chapters:

"Pre-Calculus" includes:

Complex Numbers,

Functions,

Functions and Their Graphs,

Piece Wise and Step Wise Functions,

Linear Functions and Rational Functions,

Exponential and Logarithmic Functions,

Limits, Continuity and Derivatives,

Trigonometry Summary,

Graphing Trigonometric Functions,

Polar Coordinates,

Transformations,

Graphing Sinusoidal Functions.

"Calculus" includes:

Limits, Continuity and Functions,

Derivatives and Differentiation,

Applications of Derivative,

Techniques of Differentiation I,

Techniques of Differentiation II,

Integrals and Integration,

Techniques of Integration,

Applications of Integration,

Differential Equations,

Parametric Equations and Calculus,

Calculus of Polar Curves and Power Series,

Microeconomics,

Probability and Statistics.

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## Advance Calculus Calculator

********Not all Functionality Active Yet*************

*******We are not yet to provide offline support for this app*************

Currently active are

Differentiation Calculators

Derivative calculator

Subtraction Rule

Product Rule

Quotient Rule

Power Rule

Chain Rule

Addition Rule

Limit Function Value Calculator

Homogeneous Differential Equations

Integral Calculus Calculators

Trapezoidal Rule Approximate Integration

Simpson's Rule Numerical Integration

Romberg's Numerical Integration

Integral Transport Function Calculator

Differentiation is all about finding rates of change (derivative) of one quantity compared to another. We need differentiation when the rate of change is not constant.

Derivative Calculator computes a derivative of a given function with respect to a given variable using analytical differentiation.

In calculus, the subtraction rule in differentiation is a method of finding the derivative of a function that is the subtraction of two other functions for which derivatives exist. The subtraction rule in integration follows from it. The rule itself is a direct consequence of differentiation.

In calculus, the product rule of derivatives is a method of finding the derivative of a function that is the multiplication of two other functions for which derivatives exist. The product rule in integration follows from it. The rule itself is a direct consequence of differentiation.

In calculus, the quotient rule of derivatives is a method of finding the derivative of a function that is the division of two other functions for which derivatives exist. The quotient rule in integration follows from it. The rule itself is a direct consequence of differentiation.

In calculus, the power rule of derivatives is a method of finding the derivative of a function that is the multiplication of two other functions for which derivatives exist. The rule itself is a direct consequence of differentiation

In calculus, the chain rule of derivatives is a method of finding the derivative of a function that is the composition of two functions for which derivatives exist. The rule itself is a direct consequence of differentiation..

In calculus, the sum rule in differentiation is a method of finding the derivative of a function that is the sum of two other functions for which derivatives exist. The sum rule in integration follows from it. The rule itself is a direct consequence of differentiation.

Trapezoidal / Trapezium Rule is a method of finding an approximate value for an numerical integral, based on finding the sum of the areas of trapezia. Trapezium rule is also known as method of approximate integration. A slight underestimate will often be cancelled by a similar slight overestimate from another trapezium. Using narrower intervals will improve accuracy.

Simpson's 1/3 Rule Numerical Integration is used to estimate the value of a definite integral. It works by creating an even number of intervals and fitting a parabola in each pair of intervals. Simpson's rule provides the exact result for a quadratic function or parabola.

Romberg's Method Numerical Integration is based on the trapezoidal rule, where we use two estimates of an integral to compute a third integral that is more accurate than the previous integrals. This is called Richardson's extrapolation.

A perfect tool for college going students and mathematicians.

Disclaimer:

This app used web Api of calculation from www.catoom.com with Due permission

App Developer : Ariful Haque Shisir

## Calculus Formulas

Calculus Formulas App is collection of important calculus formulas.Its very useful for student and teachers.We hope It will save your valuable time.

This App contains following formulas:

- Integration formulas : Definite Integral, Trigonometric, Exponential, Hyperbolic etc formulas

- Derivative formulas : Trigonometric, Exponential etc formulas

Most welcome for suggestions, you can contact at shineappz@gmail.com

PLEASE RATE US IF YOU LIKE.THIS APP.

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No need to buy six different apps to teach your child. StartRight contains six essential learning activities for toddlers and preschoolers. The app teaches alphabets, numbers, colors, shapes, sky objects and expressions using animated graphics and audio guide. The app has graphics, which child can easily relate to his/her surroundings.