It is increasingly being applied in the practical fields of mathematics and computer science. Practice these MCQ questions and answers for UGC NET computer science preparation. Discrete Structures in Computer Science 1: Sets Jörn W. Janneck, Dept. stream >> >> endobj A set is said to contain its elements. This page was last modified 20:27, 15 August 2008. 21:59 No comments: Definition : Sets. x�mTKo�0��W�h�*Z���n���(����!��5Xbg����~$���Q�ȏ���E��]yd��ճ(. See SIGCSE Committee Report On the Implementation of a Discrete Mathematics Course. Lecture Notes Glynn Winskel c 2005, 2006 Glynn Winskel June 26, 2006 . Many common data structures used in computer science have recursive definitions Example: Full binary trees Base step: A single root node r is a full binary tree Recursive step:If T 1and T 2are disjoint full binary trees with roots r 1and r 2, then introducing a new root r connected to r 1and r … Discrete Structures for Computer Science George Voutsadakis1 1Mathematics and Computer Science Lake Superior State University ... Let Aand B be sets. Unknown . Toggle navigation. 2 0 obj << Discrete structures are foundational material for computer science. The objects in a set are called the elements, or members,of the set. of Computer Science, Lund University 2 axiomatic vs naïve set theory Zermelo-Fraenkel Set Theory w/Choice (ZFC) extensionality regularity specification union replacement infinity power set choice This course will be about “naïve” set theory. 3 0 obj << /Length 352 Relate the ideas of mathematical induction to recursion and recursively defined structures. Solve a variety of basic recurrence equations. Describe the importance and limitations of predicate logic. Functions are normally denoted by letters like f, g and h. A function from Ato B is an association to each element in Aof exactly one element in B. Set theory concepts are used in software engineering and in databases. Two sets are equal if and only if they have the same elements. << /ColorSpace 16 0 R /ShadingType 2 /Coords [ 0 76200 9144000 76200 ] /Domain In April 2007, the SIGCSE Committee on the Implementation of a Discrete Mathematics Course released a report detailing three models for a one-semester discrete mathematics course to meet the criteria articulated in CC2001; these models remain applicable under the slightly revised suggestions in this interim report. Apply formal methods of symbolic propositional and predicate logic. Compute permutations and combinations of a set, and interpret the meaning in the context of the particular application. endobj Discrete Structures; Sets in Discrete Structures; Friday, 18 July 2014. /Filter /FlateDecode >> /Font << /TT4 15 0 R /TT2 13 0 R /TT3 14 0 R /TT1 12 0 R >> /XObject << /Resources 1 0 R The material in discrete mathematics is pervasive in the areas of data structures and algorithms but appears elsewhere in computer science as well. /Im1 10 0 R >> /Shading << /Sh1 9 0 R >> >> stream HK��_,��Z�^s�IW���Q~�XޥvCe �u-P7w�r?�{��(�x� By foundational we mean that relatively few computer scientists will be working primarily on discrete structures, but that many other areas of computer science require the ability to work with concepts from discrete structures. %��������� Graph theory concepts are used in networks, operating systems, and compilers. << /Length 11 0 R /Type /XObject /Subtype /Image /Width 393 /Height 64 /Interpolate In a perhaps unsympathetic view, the standard presenta-tions (and there are many )the material in the course is treated as a discrete collection of so many techniques that the students must master for further stud-ies in Computer Science.