Introductory calculus : understanding the integral / Tunc Geveci.

Format:

Book

Author/Creator:

Geveci, Tunc, author.

Language:

English

Subjects (All):

Calculus.

Calculus, Integral.

Integrals.

Genre:

Libros electronicos.

Physical Description:

1 online resource (iv, 124 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

New York, [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015.

Language Note:

English

Summary:

With a "less is more" approach to introducing the reader to the fundamental concepts and uses of Calculus, this sequence of four books covers the usual topics of the first semester of calculus, including limits, continuity, the derivative, the integral and important special functions such exponential functions, logarithms, and inverse trigonometric functions.

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

Index.

Notes:

Co-published with Cognella Academic Publishing.

Includes index.

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

ISBN:

1-60650-856-3

OCLC:

939718451