The Relationship Between Mathematics and IT

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Mathematics known as basic science. Learning math will train critical thinking skills, logical, analytical, and systematic. But the role of mathematics is not only limited to that. Development of other sciences, such as physics, biology, economics or social science fields, is inseparable from the role of mathematics. Math is also very deserve to be called a bridge science and technology. For example, aerospace technology advances very rapidly in today because of advances in the field of physics. But advances physical science itself can not be achieved without the development of the role of mathematics and mathematics itself.

In the development of information technology, mathematics contribute its own. Various applications and programs on the computer can not be separated from the application of mathematical applications, including the operation of Boolean algebra, graph theory, discrete mathematics, symbolic logic, opportunities and statistics. This emerging technology shows human development to implement the applications of mathematics in developing other fields.

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One example is the application of discrete mathematics in the development of computer technology. Discrete mathematics is the common name for the field of mathematics most useful in theoretical computer science. This includes computability theory, computational complexity theory, and information theory. Computability theory examine the constraints various theoretical models of the computer, including the most powerful known model – the Turing machine. Complexity theory is the study tractability by computer; few problems, although theoretically solvable by computer, but it is quite expensive in the context of time and space, can not be done in practice, even with rapid advance of computer hardware.

Another example is the development of memory. Memory storing various forms of information as binary numbers. Information (not binary form) will be solved (encoded) with a number of instructions that turn it into a number or sequence of numbers.

Besides mathematics teaches us to think critically, how to keep the technology continues to evolve in line with the development of the mathematical sciences. Processing numbers in mathematics form a programming formula that is used in the development of computer science.

Informatics technique and mathematics are closely related. Because the core of informatics technique is manufacture of software that requires calculations and a certain logic. Therefore, mathematics is essential in order as the basic and development of advance of  informatics techniques, especially software development. In the manufacture of software use the binary number system and code number. All arranged in a certain order to resulting a software that can be used to facilitate our activities. In addition, to make the programming in a computer, we have to use the algorithm. The algorithm itself is a systematic step that follows the rules of logic.

Another example of the application are:

a) Probability

The probability of an event is a number that indicates the possibility of an event. Value between 0 and 1. Events that have a value of 1 is the probability of inevitable events, and it certainly would not be surprising at all. For example, the sun still rises in the east until now. Meanwhile, an event that has a probability value of 0 is an event that is impossible or unlikely to occur. For example, a human gave birth to a a goat.

b) Algorithm

Algorithm is an appropriate procedure to solve the problem with the help of a computer and use a programming language such as Pascal, Visual Basic, Java, and many other languages​​. The use of algorithms to save file size as well as in computer programming, the using of pascal triangle in turbo pascal programs, and etc.

c) Calculus

Calculus is a branch of mathematics that includes limits, derivatives, integrals, and infinite series. Calculus has extensive applications in science and engineering and are used to solve complex problems where algebra is not enough to complete it. Calculus is used in every branch of physical science, computer science, statistics, engineering, economics, business, medicine, and other fields. Computer read data in binary form while a way to search binary studied in calculus.

d) Logic

The using of mathematical logic as a basis for programming languages​​, data structures, artificial intelligence, digital systems, databases, theory of computation, software engineering, artificial neural network. Besides the logic function is also used in managing spreadsheets in Microsoft Excel.

Development of mathematics itself actually give feedback on the development of information technology. Development of informatics technique will also facilitate the processing of mathematical calculations become more systematic.

Examples as follows:

Utilization of electronic technology in learning to give reinforcement to the learning paradigm change pattern. Using information technology and multimedia into one effective and efficient way of delivering information to students. Computer is one of information technology that has great potential to improve the quality of learning, particularly in mathematics. Many things abstract or imaginative thinking by learners can be presented through computer simulations. Exercises and experiments mathematics exploratory can be carried out learners by using simple programs for the establishment and strengthening of the concept, make mathematical modeling, and devise strategies to solve problems.

1. PowerPoint

PowerPoint is a presentation software program that is part of the Microsoft Office package.

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PowerPoint uses a graphical approach to presentations in the form of slide shows that accompany the oral delivery of the topic. This program is widely used in business and classrooms and is an effective tool when used for training purposes.

2. Microsoft Excel

Excel is an electronic spreadsheet program that can be used for storing, organizing and manipulating data.

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In Microsoft Excel statistical functions are also provided, this function can be used for mathematical calculations such as finding the sum, average, highest value, lowest value, the value of variance. We can also create symbols, tables and graphs via Microsoft Exsel this.

3. SketchUp

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Computer-based design work doesn’t have to be limited to two dimensions for paper or screen presentations. Google Sketchup is a 3D model designer that can be used for all kinds of design work with close links to Google Earth. SketchUp is a free, easy-to-learn 3D-modeling program with a few simple tools to create 3D models of houses, sheds, desks, home additions, woodworking projects, and even space ships. By add details, textures, and glass to models and design with dimensional accuracy.

4. GeoGebra

GeoGebra is an interactive geometryalgebra, and calculus application, intended for teachers and students. Most parts of GeoGebra are free software. GeoGebra is written in Java and thus available for multiple platforms. Many parts of GeoGebra have been ported to HTML5 by using the Google Web Toolkit.

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Its creator, Markus Hohenwarter, started the project in 2001 at the University of Salzburg, continuing it at Florida Atlantic University (2006–2008), Florida State University (2008–2009), and now at the University of Linz together with the help of open-source developers and translators all over the world. Currently, the lead developer of GeoGebra is Michael Borcherds, a secondary maths teacher. After a successful Kickstarter campaign, GeoGebra plans to expand their offerings to include an iPad and Android version.

5. etc.

 Source:

http://spreadsheets.about.com/od/tipsandfaqs/f/excel_use.htm

http://presentationsoft.about.com/od/powerpointtipsandfaqs/f/ppt_overview.htm

http://blog.student.uny.ac.id/reni/2011/02/22/keterkaitan-antara-matematika-dengan-tik/