Introductory calculus : understanding the integral / Tunc Geveci.

By:

Geveci, Tunc [author.]

Material type: Text

TextPublisher: New York [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015Description: 1 online resource (1 PDF (iv, 124 pages)) : illustrationsContent type:

text

Media type:

electronic

Carrier type:

online resource

ISBN:

9781606508565
1606508563

Subject(s): Genre/Form:

Additional physical formats: Print version:: Introductory Calculus I: Understanding the Derivative.DDC classification:

515 23

LOC classification:

QA300 .G485 2015

Online resources:

Click here to access online

Contents:

1. Using the integral in the approximation of area -- The summation notation -- The area under the graph of a function --

2. Understanding the concept of the integral -- The Riemann integral and signed area -- The integrals of piecewise continuous functions -- The precise definition of the integral.

3. Introduction to the fundamental theorem of calculus -- The fundamental theorem of calculus (part 1) -- The proof of theorem 1 -- The indefinite integrals of basic functions -- A short list of antiderivatives -- The fundamental theorem of calculus and one-dimensional motion.

4. The antiderivative and the fundamental theorem of calculus -- Some properties of the integral -- The second part of the fundamental theorem.

5. The indefinite and definite integrals of linear combinations of functions -- The linearity of indefinite and definite integrals -- The area of a region between the graphs of functions.

6. Using the substitution rule for integrals -- The substitution rule for indefinite integrals -- The substitution rule for definite integrals.

7. The fundamental theorem of calculus and the differential equation y' = f' -- The differential equation y' = f and the fundamental theorem -- Acceleration, velocity and position.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Co-published with Cognella Academic Publishing.

Includes index.

1. Using the integral in the approximation of area -- The summation notation -- The area under the graph of a function --

2. Understanding the concept of the integral -- The Riemann integral and signed area -- The integrals of piecewise continuous functions -- The precise definition of the integral.

4. The antiderivative and the fundamental theorem of calculus -- Some properties of the integral -- The second part of the fundamental theorem.

5. The indefinite and definite integrals of linear combinations of functions -- The linearity of indefinite and definite integrals -- The area of a region between the graphs of functions.

6. Using the substitution rule for integrals -- The substitution rule for indefinite integrals -- The substitution rule for definite integrals.

7. The fundamental theorem of calculus and the differential equation y' = f' -- The differential equation y' = f and the fundamental theorem -- Acceleration, velocity and position.

Title from PDF title page (viewed on December 9, 2015).

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