Breaking News
Home / education / Mathematical Foundation of Computer Science pdf Notes – MFCS pdf Notes

# Mathematical Foundation of Computer Science pdf Notes – MFCS pdf Notes

## Mathematical Foundation of Computer Science pdf Notes – MFCS pdf Notes file

Mathematical Foundation of Computer Science pdf Notes – MFCS notes pdf – MFCS pdf Notes file to download are listed below please check it –

Note :- These notes are according to the R09 Syllabus book of JNTU.In R13 and R15,8-units of R09 syllabus are combined into 5-units in R13 and R15 syllabus. If you have any doubts please refer to the JNTU Syllabus Book.

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