Computing for Calculus - 1st Edition - ISBN: 9780123043658, 9781483271088

Computing for Calculus

1st Edition

Authors: Mark J. Christensen
eBook ISBN: 9781483271088
Imprint: Academic Press
Published Date: 1st January 1981
Page Count: 240
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Description

Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems.

This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other topics include the Taylor polynomials, estimating the limit of a sequence, infinite series, and level curves and central projection of surfaces.

This publication is beneficial to math students and specialists who use computer languages for educational purposes.

Table of Contents


Chapter 1 Basic BASIC


1.1 The Language BASIC


1.2 The Structure of a Computer Program


1.3 Numeric Variables


1.4 Printing Numeric Variables


Exercises


1.5 The INPUT Statement for Numeric Variables


Exercises


1.6 Printing String Constants


Exercises


1.7 String Variables


Exercises


1.8 The FOR-NEXT Statement: Looping


Exercises


1.9 The Intrinsic Functions


Exercises


1.10 Advanced Intrinsic Functions


Exercises


1.11 User Defined Functions


Exercises


1.12 The IF and GOTO Statements


Exercises


1.13 The GOSUB Statement


Exercises


Chapter 2 Estimation Of Derivatives


2.1 Printing Tables of Functions


Exercises


2.2 Numerical Estimation of the First Derivative


Exercises


2.3 Numerical Estimation of Limits


Exercises


2.4 Linear Approximations and Tangents


Exercises


Chapter 3 The Definite Integral


3.1 Elementary Estimation of Areas


Exercises


Chapter 4 Graphics


4.1 Elementary Graphics


Exercises


4.2 Numerical and String Arrays


Exercises


4.3 Line Drawing Algorithms


Exercises


4.4 Polar Graphing


Exercises


Chapter 5 Solving Equations


5.1 The Bisection Method


Exercises


5.2 The Secant Method


Exercises


5.3 Newton's Methods


Exercises


Chapter 6 Implicit Functions And Differentiation


6.1

Details

No. of pages:
240
Language:
English
Copyright:
© Academic Press 1981
Published:
Imprint:
Academic Press
eBook ISBN:
9781483271088

About the Author

Mark J. Christensen

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