Discrete Mathematics Based Syllabus for B.Tech 5th sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
The detailed syllabus for Discrete Mathematics B.Tech (R13) fifthsem is as follows
OBJECTIVES:
To extend student’s Logical and Mathematical maturity and ability to deal with abstraction and to introduce most of the basic terminologies used in computer science courses and application of ideas to solve practical problems.
UNIT I : LOGIC AND PROOFS [9+3 hours]
Propositional Logic – Propositional equivalences – Predicates and Quantifiers – Nested Quantifiers – Rules of inference – Introduction to proofs – Proof methods and strategy.
UNIT II : COMBINATORICS [9+3 hours]
Mathematical induction – Strong induction and well ordering – The basics of counting – The pigeonhole principle – Permutations and combinations – Recurrence relations – Solving linear recurrence relations – Generating functions – Inclusion and exclusion principle and its applications.
UNIT III : GRAPHS [9+3 hours]
Graphs and graph models – Graph terminology and special types of graphs – Matrix representation of graphs and graph isomorphism – Connectivity – Euler and Hamilton paths.
[TOTAL (L: 45+T:15): 60 PERIODS]
OUTCOMES: At the end of the course, students would:
- Have knowledge of the concepts needed to test the logic of a program.
- Have an understanding in identifying structures on many levels.
- Be aware of a class of functions which transform a finite set into another finite set which relates to input and output functions in computer science.
- Be aware of the counting principles.
- Be exposed to concepts and properties of algebraic structures such as groups, rings and fields.
TEXT BOOKS:
- Kenneth H.Rosen, “Discrete Mathematics and its Applications”, 7th Edition, Tata Mc Graw Hill Pub. Co. Ltd., New Delhi, Special Indian Edition, 2011.
- Tremblay J.P. and Manohar R, “Discrete Mathematical Structures with Applications to Computer Science”, Tata Mc Graw Hill Pub. Co. Ltd, New Delhi, 30th Reprint, 2011.
REFERENCES:
- Ralph.P.Grimaldi., “Discrete and Combinatorial Mathematics: An Applied Introduction”, 4th Edition, Pearson Education Asia, Delhi, 2007.
- Thomas Koshy., “Discrete Mathematics with Applications”, Elsevier Publications, 2006.
- Seymour Lipschutz and Mark Lipson., “Discrete Mathematics”, Schaum’s Outlines, Tata Mc Graw Hill Pub. Co. Ltd., New Delhi, 3rd Edition, 2010.
For all other B.Tech CSE 5th sem syllabus go to Anna University B.Tech COMPUTER SCIENCE AND ENGINEERING (CSE) 5th Sem Course Structure for (R13) Batch.All details and yearly new syllabus will be updated here time to time. Subscribe, like us on facebook and follow us on google plus for all updates.
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