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Here you can download the free Mathematical Foundation of Computer Science Pdf Notes – MFCS Notes Pdf latest and Old materials with multiple file links to download. Mathematical Foundation of Computer Science Notes Pdf – MFCS Pdf Notes 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.
The Mathematical Foundation of Computer Science Pdf Notes – MFCS Notes Pdf
Please find the download links of Mathematical Foundation of Computer Science Notes pdf are listed below:
Latest Material Links
Link – Complete Notes
Unit 1
Link – Unit 1 Notes
Unit 2
Link – Unit 2 Notes
Unit 3
Link – Unit 3 Notes
Unit 4
Link – Unit 4 Notes
Unit 5
Link – Unit 5 Notes
Old Material Links
Link:Complete Notes
Unit 1
Link:Unit 1 Notes
Unit 2
Link:Unit 2 Notes
Unit 3
Link:Unit 3 Notes
Unit 4
Link:Unit 4 Notes
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
Mathematical Foundation of Computer Science Notes Pdf – MFCS Pdf Notes
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.
Mathematical Foundation of Computer Science Notes pdf Details
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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