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 –

MFCS Latest Material Links

Download MFCS:Complete Notes

Download MFCS:Unit 1 Notes

Download MFCS:Unit 2 Notes

Download MFCS:Unit 3 Notes

Download MFCS:Unit 4 Notes

Download MFCS:Unit 5 Notes

MFCS Old Material Links

Download MFCS:Complete Notes

Download MFCS:Unit 1 Notes

Download MFCS:Unit 2 Notes

Download MFCS:Unit 3 Notes

Download MFCS:Unit 4 Notes

Download MFCS:Unit 5 Notes

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

About Specworld

Check Also

Internet Programming Notes pdf

Internet Programming pdf Notes – IP pdf Notes

Internet Programming pdf Notes – IP pdf Notes file Internet Programming pdf Notes – IP …

Leave a Reply

Your email address will not be published. Required fields are marked *

error: Content is protected !!
Skip to toolbar