MFCS Pdf notes – Here you can get future notes of Mathematical Foundation of Computer Science pdf notes with the unit wise topics. Here we have listed different units wise downloadable links of Mathematical Foundation of Computer Science notes where you can click to download respectively.

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:

**All the Subject Notes link**

**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**

### 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.

**Link:Unit 1 Mathematical Foundation of Computer Science Notes**

**UNIT-II**

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

**Link:Unit 2 Mathematical Foundation of Computer Science Notes**

**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.

**Link:Unit 3 Mathematical Foundation of Computer Science Notes**

**UNIT-IV**

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

**Link:Unit 4 Mathematical Foundation of Computer Science Notes**

### 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.

**Link:Unit 5 Mathematical Foundation of Computer Science Notes**

**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

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

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