This document discusses functions and their applications. It begins with an introduction that defines a function as a rule that maps an input number to a unique output number. It then provides examples of functions. It discusses applications of functions in real world contexts like tracking location over time. It also discusses applications in computer science and software engineering. Finally, it concludes that polynomials are an important topic in mathematics and provides references and websites for further information.

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CAREER POINT UNIVERSITY
KOTA,RAJASTHAN
Major ASSIGNMENT
SUBJECT: MATHEMATICS(MAL-120)
TOPIC: functions
Submitted To :- Submitted By :-
Dr. Sona Raj Mr. Wakil kumar
UID : K12467
Course: B.Tech , 1st year/ 2nd sem
Branch: Computer science &
Engineering

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Contents
• Introduction
• Examples
• Application of function related to Real world
• Application of function related to CSE
• Conclusion
• Reference
• Visited websites

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Introduction
• A function is a rule that maps a number to
another unique number.
• The input to the function is called the
independent variable, and is also called the
argument of the function. The output of the
function is called the dependent variable.

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Examples

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Examples

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Application of function related to
Real world
• The concept of function (of the form f:R→R ) has
been used in various real world applications of
Mathematics.
• In almost all of the applications the general
consideration such as approximating a given function
with another function is viewed through a lens of
mean square error or one of several other such very
similar metrics.

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• Location as a function of time. You can never
be in two places at the same time.
• If you were to plot the graphs of where two
people are as a function of time, the place
where the lines cross means that the two
people meet each other at that time.
• This idea is used in logistics, an area of
mathematics that tries to plan where people
and items are for businesses.

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Application of function related to
CSE
• Software engineering is the application of a
systematic, disciplined, quantifiable approach to the
design, development , operation, and maintenance
of software, and the study of these approaches; that
is , the application of engineering to software.
• It is also the process of making, testing and
documenting computer programs and is considered
as one of the applied areas of computer science.

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• The Guide to the Software Engineering Body of
Knowledge.
• Nowadaya Petroleum industry relies on many
software and these software can only be operated
via computers.
• Programming language theory is a branch of
computer science that deals with the design,
implementation, analysis, characterization, and
classification of programming languages and their
individual features.

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Conclusion
• Polynomials are one of the most important topic in
mathematics. For this reason, it is important that you
learn polynomials well. Moreover, polynomials are
great ways to develop a particular thinking skill.
Polynomials should be studied both because they are
one of the most frequently discussed objects in
mathematics and because they are one of the most
interesting.

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References
1) Dass H.K (1988)”Advanced Engineering Mathematics”
S.Chand & Company Ltd.
2) N.P.Bali (2006) “engineering mathematics” Lakshmi
publication, 9th Edition ,pp. 862,
3) B.V RAMANNA (2007) “engineering mathematics” 2nd
Edition Pp 8.22
4) D.K.S. Rewar (2014) ”Mathematics ” College book
house, New edition pp: 84
5) Classroom maths notebook.

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Websites
• http://www.schandgroup.com
E-mail:schand@vsnl.com
• http://www.maths.com
• http://en.wikipedia.org/wiki
• http://www.info.math.com
• https://www.khanacademy.org/math/differential
• http://ocw.mit.co.in

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