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Calculus I Flashcard

Calculus I Flashcard
  • #: 5482
  • Price: $4.99 In Apple Store
  • Category: Education
  • Updated: 2011-03-22
  • Current Version: 2.1
  • 2.1
  • Size: 5.00 MB
  • Language: English
  • Seller: Mo Zhang
  • Requirements: Compatible with iPhone, iPod touch, and iPad. Requires iOS 4.0 or later.
  • © 2011 Pilipala
  •  Add to Favorite apps

 

Description

The Calculus I Flashcard has seven chapters containing 110 flashcards. It covers the first-semester of calculus including limits, differentiation, application of differentiation, continuity, and integration. Below is the chapter summary.

Calculus I Flashcard Summary

Chapter 1 Limits and Their Properties

• Definition of Limit

• Basic Limits

• Properties of Limits

• Limits of a Polynomial Function

• Limits of a Rational Function

• The Limit of Radical Functions

• The Limit of a Composite Function

• Limits of Trigonometric functions

...

Chapter 2 Limits and Continuity

• Definition of Continuity

• Continuity on a Closed Interval

• Properties of Continuity

• Continuity of a Composite Function

Chapter 3 Differentiation

• Tangent Line with Slope m

• Derivative of a Function

• Differentiability Implies Continuity

• The Constant Rule

• The Power Rule

• The Constant Multiple Rule

• The Sum and Difference Rules

• Derivatives of Sine and Cosine Functions

• The Product Rule

• The Quotient Rule

...

Chapter 4 Applications of Differentiation

• Extrema

• The Extreme Value Theorem

• Relative Extrema

• Critical Number

• Relative Extrema Occur at Critical Numbers

• Rolle’sTheorem

• The Mean Value Theorem

• Increasing and Decreasing Functions

• Test for Increasing and Decreasing Functions

• The First Derivative Test

• Concavity

• Test for Concavity

• Points of Inflection

• Second Derivative Test

• Definition of Limits at Infinity

• Horizontal Asymptote

• Theorem of Limits at Infinity

• Definition of Differentials

• Differential Formulas

Chapter 5 Integration

• Representation of antiderivatives

• Summation Formulas

• Definition of the Area of a Region in the Plane

• Riemann Sum

•The Definite Integral as the Area of a Region

• Two Special Definite Integrals

• Additive Interval Property

• Presentation of Inequality

• Properties of Definite Integrals

• The Fundamental Theorem of Calculus

• Mean Value Theorem for Integrals

• Average Value of a Function on an Interval

• The Second Fundamental Theorem of Calculus

• Antidifferentiation of a Composite Function

• The General Power Rule for Integration

• Change of Variables for Definite Integrals

• Integration of Even and Odd Functions

• Integral of p(x) = Ax2 + Bx + C

• The Trapezoidal Rule

• Errors in the Trapezoidal Rule

• Simpson’s Rule (n is even)

• Errors in the Simpson’s Rule

Chapter 6 Derivatives and Integrals of Logarithmic, Exponential, Trigonometric, and Inverse Functions

• The Natural Logarithmic Function

• Definition e

• Definition of e Involving Limits

• Derivative of the Natural Logarithmic Functions

• Derivative Involving Absolute Value

• Log Rule for Integration

• Integrals of the Six Basic Trigonometric Functions

• Reflective Property of Inverse Functions

• The Existence of an Inverse Function

• Continuity and Differentiability of Inverse Functions

• The Derivative of an Inverse Function

• The Derivative of the Natural Exponential Function

• Derivatives for Base of Any Number

• The Power Rule for Real Exponents

...

Chapter 7 Derivatives and Integrals of Hyperbolic Functions

• The Hyperbolic Functions

• Hyperbolic Identities (Unity)

• Hyperbolic Identities (Double Angle)

• Hyperbolic Identities (Sinh and Cosh Squared)

• Hyperbolic Identities (Sum and Difference of Angles)

• Differentiation of Hyperbolic Function

...

Because the words limits in description, the above summary of this package is not complete. If you need more information and screenshots about this package, you can visit www.pilipala.net. Thank you very much for your interests, and wish you master Calculus!

What's New in Version 2.1

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The information may be outdated (2011-03-27 03:50:51). For actual information go to iTunes

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