Application of Integral Calculus in Information Technology

Engineering Mathematics 1
Application of Integral Calculus in Information Technology
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Engineering Mathematics 2
Application of integral calculus in information technology
Introduction
Invention of calculus was one of the greatest contribution to the modern science. A lot of
technological accomplishment including information science, landing on the mood among other
technological accomplishment would not be accomplished without the invention of calculus. The
term “calculus” has its origin from a Latin word meaning small stone (Yao, 2012, pp.285-297).
This is due to the reason that many years ago, people used the small stones to do calculations and
solve many arithmetic problems. The theorem of calculus was discovered by two people namely
Isaac Newton and Baron Gottfried. The two gentlemen discovered the theorem in the 17th
century. It was invented in order to help in solving problems while dealing with the changing
quantities (Machado, Galhano, and Trujillo, 2014, pp.577-582). It is therefore christened
mathematics of change. Calculus is divided into two main sub topics including differential
calculus and integral calculus. This essay focuses on the integral calculus.
The Integral calculus is a branch of calculus which deals with the applications and theory
of integration. As differential calculus focus on rates of change including velocities, slopes of
tangent lines among other areas, the integral calculus focuses on the total size of a given value
for example volumes, areas, and lengths. The better part of integral calculus is based on
derivation of formulas which are afterwards used in finding anti-derivatives (Azodolmolky,
Nejabati, Pazouki, Wieder, Yahyapour, and Simeonidou, 2013, pp. 1397-1402). In that sense, the
integral calculus has been a gate way to many courses in information technology which are
devoted to the studies involving graphics and programming among others. As such, the integral
calculus has been a critical aspect in information technology. In that rationale, I sought to do a
research on the application of the integral calculus in the following areas of information

Engineering Mathematics 3
technology: scientific computing, designing and analysis of algorithms, asymptomatic
enumeration, graphical and visual design as well as information processing.
Scientific computing
Scientific computing involves a collection of tools, theories and techniques which are
essential in solving computer mathematical models of problems in engineering and science at
large. A good number of tools and techniques which are applied here are originally integral
calculus based most of which got originated way back before computers came to be. The integral
calculus constitute a better part of computer science. The advent of electronic computers have
signaled a new era which involves solving many scientific problems (Almeida, and Torres, 2009,
pp.1816-1820). As such, the numerical approaches that were developed for manual calculation
by hand are getting abandoned and some have been revised. Some of the considerations which
seemed irrelevant for manual calculations have now become efficient and effective approaches
for use in a large information system.
Some of the considerations including computer operating systems, programming
languages, the correctness of programs and management of voluminous data got subsumed under
the domain of information technology where scientific computing has become import. Be that as
it may, mathematics, calculus in particular, continues to play a significant role in information
technology. The integral calculus offers the mathematical model language that is to be solved as
well as the information concerning the importance of a model, it also facilitates scientific
computing with the theoretical origin of the numerical methods thus increasing the tools for use
in information technology.