Personal statement computer science and mathematics

It begins with the review of integers and a thorough coverage of the fundamentals of finite group theory followed by the RSA and ElGamal ciphers. Primitive roots in cyclic groups and the discrete log problem are discussed. Baby-step Giant-step and the Index Calculus probabilistic algorithms to compute discrete logs in cyclic groups are presented.

Personal statement computer science and mathematics

Charles Babbage sometimes referred as "father of computing". Machines for calculating fixed numerical tasks such as the abacus have existed since antiquity, aiding in computations such as multiplication and division.

Further, algorithms for performing computations have existed since antiquity, even before the development of sophisticated computing equipment. Wilhelm Schickard designed and constructed the first working mechanical calculator in InThomas de Colmar launched the mechanical calculator industry [note 1] when he released his simplified arithmometerwhich was the first calculating machine strong enough and reliable enough to be used daily in an office environment.

Charles Babbage started the design of the first automatic mechanical calculator, his Difference Engineinwhich eventually gave him the idea of the first programmable mechanical calculator, his Analytical Engine. Computer science began to be established as a distinct academic discipline in the s and early s.

The first computer science degree program in the United States was formed at Purdue University in Although many initially believed it was impossible that computers themselves could actually be a scientific field of study, in the late fifties it gradually became accepted among the greater academic population.

Initially, computers were quite costly, and some degree of human aid was needed for efficient use—in part from professional computer operators. As computer adoption became more widespread and affordable, less human assistance was needed for common usage.

Contributions[ edit ] The German military used the Enigma machine shown here during World War II for communications they wanted kept secret.

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The start of the " Digital Revolution ", which includes the current Information Age and the Internet. It Personal statement computer science and mathematics enabled advanced study of the mind, and mapping of the human genome became possible with the Human Genome Project.

Algorithmic trading has increased the efficiency and liquidity of financial markets by using artificial intelligencemachine learningand other statistical and numerical techniques on a large scale.

Even films that feature no explicit CGI are usually "filmed" now on digital camerasor edited or post-processed using a digital video editor. Modern computers enable optimization of such designs as complete aircraft. Notable in electrical and electronic circuit design are SPICE, as well as software for physical realization of new or modified designs.

The latter includes essential design software for integrated circuits. There are many applications of AI, some of which can be seen at home, such as robotic vacuum cleaners.

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It is also present in video games and on the modern battlefield in drones, anti-missile systems, and squad support robots. Human—computer interaction combines novel algorithms with design strategies that enable rapid human performance, low error rates, ease in learning, and high satisfaction.

Researchers use ethnographic observation and automated data collection to understand user needs, then conduct usability tests to refine designs. Key innovations include the direct manipulationselectable web links, touchscreen designs, mobile applications, and virtual reality.

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Because of this, several alternative names have been proposed. Danish scientist Peter Naur suggested the term datalogy, [32] to reflect the fact that the scientific discipline revolves around data and data treatment, while not necessarily involving computers.

The first scientific institution to use the term was the Department of Datalogy at the University of Copenhagen, founded inwith Peter Naur being the first professor in datalogy. The term is used mainly in the Scandinavian countries.

An alternative term, also proposed by Naur, is data science ; this is now used for a distinct field of data analysis, including statistics and databases.

Also, in the early days of computing, a number of terms for the practitioners of the field of computing were suggested in the Communications of the ACM—turingineer, turologist, flow-charts-man, applied meta-mathematician, and applied epistemologist.

For example, the study of computer hardware is usually considered part of computer engineeringwhile the study of commercial computer systems and their deployment is often called information technology or information systems. However, there has been much cross-fertilization of ideas between the various computer-related disciplines.

Computer science research also often intersects other disciplines, such as philosophy, cognitive sciencelinguisticsmathematicsphysicsbiologystatisticsand logic. Computer science is considered by some to have a much closer relationship with mathematics than many scientific disciplines, with some observers saying that computing is a mathematical science.

Computer science departments with a mathematics emphasis and with a numerical orientation consider alignment with computational science. Both types of departments tend to make efforts to bridge the field educationally if not across all research. Philosophy of computer science A number of computer scientists have argued for the distinction of three separate paradigms in computer science.

Peter Wegner argued that those paradigms are science, technology, and mathematics. Eden described them as the "rationalist paradigm" which treats computer science as a branch of mathematics, which is prevalent in theoretical computer science, and mainly employs deductive reasoningthe "technocratic paradigm" which might be found in engineering approaches, most prominently in software engineeringand the "scientific paradigm" which approaches computer-related artifacts from the empirical perspective of natural sciencesidentifiable in some branches of artificial intelligence.

Personal statement computer science and mathematics

Outline of computer science As a discipline, computer science spans a range of topics from theoretical studies of algorithms and the limits of computation to the practical issues of implementing computing systems in hardware and software.

In addition to these four areas, CSAB also identifies fields such as software engineering, artificial intelligence, computer networking and communication, database systems, parallel computation, distributed computation, human—computer interaction, computer graphics, operating systems, and numerical and symbolic computation as being important areas of computer science.

Theoretical computer science Theoretical Computer Science is mathematical and abstract in spirit, but it derives its motivation from practical and everyday computation. Its aim is to understand the nature of computation and, as a consequence of this understanding, provide more efficient methodologies.

All studies related to mathematical, logic and formal concepts and methods could be considered as theoretical computer science, provided that the motivation is clearly drawn from the field of computing.Find a Science Fair Project Idea.

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People who graduate with four-year degrees in computer science find a ready job market and good salaries. If you’re ready to drill down into the intricacies of computers, begin your degree at Tidewater Community College.

The history of computer science began long before our modern discipline of computer pfmlures.compments in previous centuries alluded to the discipline that we now know as computer science.

This progression, from mechanical inventions and mathematical theories towards modern computer concepts and machines, led to the development of a major academic field and the basis of .

Computer Science is a field for students interested in technology, programming and problem-solving.

Personal statement computer science and mathematics

At UW-Green Bay, Computer Science students gain a strong background in programming skills, and also leave the program with holistic communication and presentation skills that prepares them for computer science careers.

Majors and concentrations.

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At Colorado State, there are two primary methods you can explore your passions: majors and concentrations. A major is the degree you will earn at graduation, while a concentration focuses on a specific field of study related to a major.

People who graduate with four-year degrees in computer science find a ready job market and good salaries. If you’re ready to drill down into the intricacies of computers, begin your degree at Tidewater Community College.

Mathematics and Computer Science | University of Oxford