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FlexBook: CK-12 Calculus

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Chapter Title

Creator

Functions, Limits, and Continuity

Functions, Limits, and Continuity Functions, Limits, and Continuity

CK-12 Foundation

Functions, Limits, and Continuity

A review of the basics of functions is given. Students use linear approximations to study the limit...

Created: Oct. 06, 2009 03:51 PM

Last edited: Feb. 06, 2012 02:36 PM

A review of the basics of functions is given. Students use linear approximations to study the limit process, before a more formal treatment of limits is given.

Categories: Calculus , Differentiation , Continuity , Single Variable

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: functions , relations , equations , models

Created: Oct. 06, 2009 03:51 PM

Last Edited: Feb. 06, 2012 02:36 PM

Functions, Limits, and Continuity

Derivatives

Derivatives Derivatives

CK-12 Foundation

Derivatives

Students explore instantaneous rate of change, and the relationship between continuity and...

Created: Oct. 06, 2009 03:51 PM

Last edited: Feb. 06, 2012 02:36 PM

Students explore instantaneous rate of change, and the relationship between continuity and differentiability. The Chain Rule and implicit differentiation are reviewed.

Categories: Calculus , Single Variable , Continuity , Differentiation

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: derivative , tangent lines , rate of change , techniques of differentiation

Created: Oct. 06, 2009 03:51 PM

Last Edited: Feb. 06, 2012 02:36 PM

Derivatives

Applications of Derivatives

Applications of Derivatives Applications of Derivatives

CK-12 Foundation

Applications of Derivatives

Students gain practice with using the derivatives in related rates problems. Additional topics...

Created: Oct. 06, 2009 03:51 PM

Last edited: Feb. 06, 2012 02:36 PM

Students gain practice with using the derivatives in related rates problems. Additional topics include The First Derivative Test, The Second Derivative Test, limits at infinity, optimization, and approximation errors.

Categories: Calculus , Single Variable , Differentiation , Functions

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: approximating errors , optimization , limits at infinity , mean value theorem

Created: Oct. 06, 2009 03:51 PM

Last Edited: Feb. 06, 2012 02:36 PM

Applications of Derivatives

Integration

Integration Integration

CK-12 Foundation

Integration

Topics in this chapter include: indefinite integrals calculus, initial value problems, definite...

Created: Oct. 06, 2009 03:51 PM

Last edited: Feb. 06, 2012 02:36 PM

Topics in this chapter include: indefinite integrals calculus, initial value problems, definite integrals, the Fundamental Theorem of Calculus, integration by substitution, and numerical integration.

Categories: Calculus , Differential Equations , Ordinary Differential Equations , Single Variable

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: initial value problems , indefinite integrals , fundamental theorem of calculus , definite integrals

Created: Oct. 06, 2009 03:51 PM

Last Edited: Feb. 06, 2012 02:36 PM

Integration

Applications of Definite Integrals

Applications of Definite Integrals Applications of Definite Integrals

CK-12 Foundation

Applications of Definite Integrals

This chapter includes applications of the definite integral, such as calculating areas between two...

Created: Oct. 06, 2009 03:51 PM

Last edited: Feb. 06, 2012 02:36 PM

This chapter includes applications of the definite integral, such as calculating areas between two curves, volumes, length of curves, and other real-world applications in physics and statistics.

Categories: Mathematics , Calculus , Single Variable , Integration

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: applications in physics , surface area of revolution , volume of solid of revolutions , area between two curves

Created: Oct. 06, 2009 03:51 PM

Last Edited: Feb. 06, 2012 02:36 PM

Applications of Definite Integrals

Transcendental Functions

Transcendental Functions Transcendental Functions

CK-12 Foundation

Transcendental Functions

This chapter includes differentiation and integration of logarithmic and exponential functions,...

Created: Oct. 06, 2009 03:52 PM

Last edited: Feb. 06, 2012 02:36 PM

This chapter includes differentiation and integration of logarithmic and exponential functions, exponential growth and decay, derivatives and integrals involving inverse trigonometric functions, and L’Hospital’s Rule.

Categories: Calculus , Single Variable , Continuity , Differentiation

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: functions , logarithmic functions , exponential functions , l'hospital's rule

Created: Oct. 06, 2009 03:52 PM

Last Edited: Feb. 06, 2012 02:36 PM

Transcendental Functions

Integration Techniques

Integration Techniques Integration Techniques

CK-12 Foundation

Integration Techniques

Topics in this chapter include: integration by substitution, integration by parts, integration by...

Created: Oct. 06, 2009 03:52 PM

Last edited: Feb. 06, 2012 02:36 PM

Topics in this chapter include: integration by substitution, integration by parts, integration by partial fractions, trigonometric integrals, trigonometric substitutions, and improper integrals.

Categories: Calculus , Differential Equations , Ordinary Differential Equations , First Order

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: improper integrals , integration , integration by substitution , integration by parts

Created: Oct. 06, 2009 03:52 PM

Last Edited: Feb. 06, 2012 02:36 PM

Integration Techniques

Infinite Series

Infinite Series Infinite Series

CK-12 Foundation

Infinite Series

This chapter introduces the study of sequences and infinite series. The properties presented describ...

Created: Oct. 06, 2009 03:52 PM

Last edited: Feb. 06, 2012 02:37 PM

This chapter introduces the study of sequences and infinite series. The properties presented describe the behavior of a sequence or series, including whether a sequence approaches a number or an infinite series adds to a number.

Categories: Calculus , Several Variables , Taylor Series , Single Variable

Grades: 11 , 12

Organizations: CK-12 Foundation

Tags: geometric series , sequences , absolute convergence , harmonic series

Created: Oct. 06, 2009 03:52 PM

Last Edited: Feb. 06, 2012 02:37 PM

Infinite Series

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CK-12 Calculus

Reviewed

Created: Oct. 06, 2009 03:51 PM
Last modified: 2 weeks, 2 days ago

CK-12 Foundation’s Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.

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Calculus

Continuity

Differentiation

Functions

Integration

Limits

Mathematics

Series

Single Variable

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Tags:

calculus

continuity

differentiation

functions

integration

limits

series

single variable

Reviewed

CK-12 readers should treat this FlexBook as a final draft. This FlexBook underwent a thorough review conducted by practicing teachers, domain experts, copyeditors, technical editors, and has been developed following state and national standards. It can be used in its current form, "flexed" (customized), and/or printed by the user. CK-12 supports feedback on all of its FlexBooks so that they can be continually improved and updated.

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	Flexr Information
BUILD NUMBER	:15418
DEPLOYMENT DATE	:2012-02-10 10:38:18 -0800 (Fri, 10 Feb 2012)
PDF ENGINE	:1
BIDI ENGINE	:1
DATABASE VERSION	:1.2.5.2
FB2N VERSION	:0.1.105
MWDOCBOOK VERSION	:${mwdocbook.mwdocbook}