proposed syllabus for second year degree course in computer
proposed syllabus for second year degree course in computer
proposed syllabus for second year degree course in computer
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Relations contd.: Properties of Relations, Computer Recognition – Zero-OneMatrices and Directed Graphs, Partial Orders – Hasse Diagrams, EquivalenceRelations and PartitionsUNIT – 55 HoursGroups: Def<strong>in</strong>itions, Examples, and Elementary Properties, Homomorphisms,Isomorphisms, and Cyclic Groups, Cosets, and Lagrange’Theorem.Cod<strong>in</strong>g Theory and R<strong>in</strong>gs: Elements of Cod<strong>in</strong>g Theory, The Hamm<strong>in</strong>g Metric,The Parity Check, and Generator MatricesUnit – 65 HoursGroup Codes: Decod<strong>in</strong>g with Coset Leaders, Hamm<strong>in</strong>g MatricesR<strong>in</strong>gs and Modular Arithmetic: The R<strong>in</strong>g Structure – Def<strong>in</strong>ition and Examples,R<strong>in</strong>g Properties and Substructures, The Integers Modulo nText Book:1. Ralph P. Grimaldi, “Discrete and Comb<strong>in</strong>atorial Mathematics, “5 th Edition, Pearson Education, 2004.(Chapter 3.1, 3.2, 3.3, 3.4, Appendix 3,Chapter 2, Chapter 4.1, 4.2, Chapter 5.1 to 5.6, Chapter 7.1 to 7.4, Chapter16.1, 16.2, 16.3, 16.5 to 16.9, and Chapter 14.1, 14.2, 14.3).Reference Books:1. Kenneth H. Rosen, “Discrete Mathematics and its Applications, “7 th Edition, McGraw Hill, 2010.2. Jayant Ganguly, “A Treatise on Discrete Mathematical Structures,”Sangu<strong>in</strong>e-Pearson, 2010.3. D.S. Malik and M.K. Sen, “ Discrete Mathematical Structures: Theory andApplications,” Cengage Learn<strong>in</strong>g, 2004.4. Thomas Koshy. Discrete Mathematics with Applications,” Elsevier,2005,Repr<strong>in</strong>t 2008.