Mathematical Foundation of Computer Science Notes pdf – MFCS notes pdf

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Here you can download the free Mathematical Foundation of Computer Science Notes pdf – MFCS notes pdf latest and Old materials with multiple file links to download. MFCS notes pdf starts with the topics covering Mathematical Logic : Statements and notations, Connectives, Well formed formulas, Truth Tables, tautology, equivalence implication, Normal forms, Quantifiers, universal quantifiers, etc.

Mathematical Foundation of Computer Science Notes pdf – MFCS notes pdf Free Download

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Unit 1

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Unit 2

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Unit 3

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Unit 4

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Unit 5

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Old Material Links

Link:Complete Notes

Unit 1

Link:Unit 1 Notes

Unit 2

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Unit 3

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Unit 4

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Unit 5

Link:Unit 5 Notes

Note :- These notes are according to the r09 Syllabus book of JNTUH.In R13 & R15,8-units of R09 syllabus are combined into 5-units in r13 syllabus.Click here to check all the JNTU Syllabus books

UNIT-I

Mathematical Logic : Statements and notations, Connectives, Well formed formulas, Truth Tables, tautology, equivalence implication, Normal forms, Quantifiers, universal quantifiers.

UNIT-II

Predicates : Predicative logic, Free & Bound variables, Rules of inference, Consistency, proof of contradiction, Automatic Theorem Proving.

UNIT-III

Relations : Properties of binary Relations, equivalence, transitive closure,compatibility and partial ordering relations, Lattices, Hasse diagram. Functions: Inverse Function Compositions of functions, recursive Functions, Lattice and its Properties.

UNIT-IV

Algebraic structures : Algebraic systems Examples and general properties, Semi groups and monads, groups sub groups’ homomorphism, Isomorphism.

UNIT-V

Elementary Combinatorics: Basis of counting, Combinations & Permutations, with repetitions, Constrained repetitions, Binomial Coefficients, Binomial Multinomial theorems, the principles of Inclusion – Exclusion.Pigeon hole principles and its applications.

UNIT-VI

Recurrence Relation : Generating Functions, Function of Sequences Calculating Coefficient of generating function, Recurrence relations, Solving recurrence relation by substitution and Generating funds. Characteristics roots solution of In homogeneous Recurrence Relation.

UNIT-VII

Graph Theory : Representation of Graph, DFS, BFS, Spanning Trees, planar Graphs

UNIT-VIII

Graph Theory and Applications, Basic Concepts Isomorphism and Sub graphs, Multi graphs and Euler circuits, Hamiltonian graphs, Chromatic Numbers

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