why do we need to study discrete mathematics

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As a Computer Scientist looking to get a Master\’s degree with focus on \”Algorithms, Complexity and Computability Theory and Programming Languages\” I would say Discrete Mathematics is very important. Discrete math will help you with the \”Algorithms, Complexity and Computability Theory\” part of the focus more than programming language. The understanding of set theory, probability, and combinations will allow you to analyze algorithms. You will be able to successfully identify parameters and limitations of your algorithms and have the ability to realize how complex a problem/solution is. As far as the programming language, discrete math doesn\’t touch on how to actually program; but rather it can be used for software system design specification. I used \”ZED\” in university, and it was dealing with designing a system using set theory. I\’m not sure what percentage of software systems are designed with set theory these days though. The last important concept to grab out of discrete math is boolean algebra. This is very useful not only for creating logical solution, but it is very useful in programming too. Software can be made/broke simply on the boolean logic in it. Overall, discrete math is not a numbers class for the most part. It makes you use your brain in ways no other classes do. It is a logical thinking class and you must have patience if doing proofs/logic computations don\’t come easy to you.

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I\’ve seen people change majors because they couldn\’t think \”abstractly\” enough to get through the course. In short, I would make a stance that discrete math would be important class to take for a Computer Scientist/Software Engineer.
Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. Discrete means individual, separate, distinguishable implying discontinuous or not continuous, so integers are discrete in this sense even though they are countable in the sense that you can use them to count. The term Б Discrete Mathematics Б is therefore used in contrast with Б Continuous Mathematics,Б which is the branch of mathematics dealing with objects that can vary smoothly (and which includes, for example, calculus). Whereas discrete objects can often be characterized by integers, continuous objects require real numbers. Almost allб middleб or junior high schools and high schools across the country closely follow a standard mathematics curriculum with a focus on Continuous Mathematics. Discrete mathematics has not yet been considered a separate strand in middle and high schoolб mathematics curricula. Discrete mathematics has never been included in middle and high school high-stakes standardized testsб in the USA. The two major standardized college entrance tests: the SAT and ACT, do not cover discrete mathematics topics.

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Discrete mathematics grew out of the mathematical sciences response to the need for a better understanding of the combinatorial bases of the mathematics used in the real world. It has become increasingly emphasized in the current educational climate due to following reasons: Many problems in middle and high school math competitions focus on discrete math Approximately 30-40% of questions in premier national middle and high school mathematics competitions, such as the AMC (American Mathematics Competitions),б focus on discrete mathematics. б More than half of the problems in the high level math contests, such as the AIME (American Invitational Mathematics Examination), are associated with discrete mathematics. Students not having enough knowledge and skills in discrete mathematics can t do well on these competitions. Our AMC prep course curriculum always includes at least one-third of the studies inб discrete mathematics, such as number theory, combinatorics, and graph theory,б due toб the significance of these topicsб in the AMC contests Discrete Mathematics is the backbone of Computer Science Discrete mathematics has become popular in recent decades because of its applications to.

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Discrete mathematics is the mathematical language of computer science. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in all branches of computer science, such as computer, and. Conversely, computer are tremendously significant in applying ideas from discrete mathematics to real-world applications, such as in. The set of objects studied in discrete mathematics can be finite or infinite. In real-world applications, the set of objects of interest are mainly finite, the study of which is often called finite mathematics. In some mathematics curricula, the term finite mathematics refers to courses that cover discrete mathematical concepts for business, while discrete mathematics courses emphasize discrete mathematical concepts for computer science majors. Di sc rete mat h plays the significant role in big data analytics. The Big Data era poses a critically difficult challenge and striking development opportunities: how to efficiently turn massively large data into valuable information and meaningful knowledge. Discrete mathematics produces a significant collection of powerful methods, including mathematical tools for understanding and managing very high-dimensional data, inference systems for drawing sound conclusions from large and noisy data sets, and algorithms for scaling computations up to very large sizes.

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Discrete mathematics is the mathematical language of data science, and as such, its importance has increased dramatically in recent decades. IN SUMMARY, discrete mathematics is an exciting and appropriate vehicle for working toward and achieving the goal of educating informed citizens who are better able to function in our increasingly technological society; have better reasoning power and problem-solving skills; are aware of the importance of mathematics in our society; and are prepared for future careers which will require new and more sophisticated analytical and technical tools. It is an excellent tool for improving reasoning and problem-solving abilities. We highlyб suggest that starting from the 6th grade, studentsб should some effort into studyingб fundamental discrete math, especially б combinatorics, graph theory, discrete geometry, number theory, and discrete probability. Students, even possessing veryб little knowledge and skills in elementary arithmetic and algebra,б can join our competitive mathematics classes to begin learning and studying discrete mathematics.

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