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

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#### Unit 3

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#### 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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