Discrete Mathematics Lecture Notes for 5th Semester B.E. Computer Science And Engineering Students. As per Anna university syllabus of regulation 2013 as well, we provided important 2 marks and 16 marks questions to answer for all units. Here you will get notes for all units.
Discrete Mathematics Lecture Notes
Discrete Mathematics Lecture Notes for free download. Computer engineering is a discipline that integrates several fields of electrical engineering and computer science required to develop computer hardware and software. Logical and Mathematical maturity and ability to deal with abstraction and to Introduce most of the basic terminology used in computer science courses and application of ideas to solve practical problems.
UNIT I LOGIC AND PROOFS
Propositional Logic – Propositional equivalences – Predicates and Quantifiers – Nested Quantifiers –Rules of inference – Introduction to proofs – Proof methods and strategy.
UNIT II COMBINATORICS
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
Graphs and graph models – Graph terminology and special types of graphs – Matrix representation of graphs and graph isomorphic – Connectivity – Euler and Hamilton paths.
UNIT IV ALGEBRAIC STRUCTURES
Algebraic systems – Semi groups and mono ids – Groups – Subgroups Homomorphism’s – Normal subgroup and cossets – Lagrange’s theorem – Definitions and examples of Rings and Fields.
UNIT V LATTICES AND BOOLEAN ALGEBRA
Partial ordering – Posets – Lattices as posets – Properties of lattices – Lattices as algebraic systems –Sub lattices – Direct product and homomorphism – Some special lattices – Boolean algebra.
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CSE 5th Semester Lecture Notes
CSE 5th Semester Lecture Notes for all the semester are available here. Computer software Engineers develop, design, and test software. Some software engineers design, construct, and maintain computer programs for companies.