MT 131 Discrete Mathematics
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The MT 131 Discrete mathematics course is basically the study of mathematical structures that are discrete rather than continuous. Unlike real numbers with a "smooth" change in properties, objects studied in discrete mathematics (such as integers, numbers and sentences in logic do not change in this way smoothly but have different individual meanings. Thus, discrete mathematics excludes topics of "continuous mathematics" such as calculus or Euclidean geometry. Discrete objects can usually be enumerated using integers. More formally, discrete mathematics is characterized by a branch of mathematics dealing with countable sets (a finite set or a set with the same base as natural numbers). However, the term "discrete mathematics" is not precisely defined. Indeed, discrete mathematics has fewer descriptions, and what it contains describes what it contains, rather than what it excludes: ever-changing quantities and related concepts.
Discrete mathematics provides a public forum for important research in many areas of discrete mathematics and combinatorics.
Research areas covered in discrete mathematics include graph and hypergraph theory, enumeration, coding theory, block design, partially ordered combination of sets, extreme value set theory, matroid theory, algebraic combination, discrete geometry, matrix, discrete probability, and partial cryptography.
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