Mathematical Foundation of Computer Science Notes Pdf-  Download B.Tech Notes, Study Material, Books

Download Mathematical Foundation of Computer Science  Notes Pdf. We provide B.tech Mathematical Foundation of Computer Science study materials to B.Tech  student with free of cost and it can download easily and without registration need. You can Check Mathematical Foundation of Computer Science of B.Tech  Study Materials and Lecture Notes (మ్యాథమెటికల్ ఫౌండేషన్ ఆఫ్ కంప్యూటర్ సైన్స్ నోట్స్) with Syllabus and Important Questions. From the following B.tech Mathematical Foundation of Computer Science Notes, you can get the complete Study Material in Single Download Link.

Also, Read The following links for More Information

Mathematical Foundation of Computer Science Notes Pdf

  1. Computer science is the art of solving problems with computers. This is a broad definition that encompasses an equally broad field. Within computer science, we find software engineering, bioinformatics, cryptography, machine learning, human-computer interaction, graphics, and a host of other fields. Mathematics underpins all of these endeavors in computer science. We use graphs to model complex problems and exploit their mathematical properties to solve them. We use recursion to break down seemingly insurmountable problems into smaller and more manageable problems. We use topology, linear algebra, and geometry in 3D graphics.

Mathematical Foundation of Computer Science Pdf Download

MFCS  lecture notes

Download

MFCS Notes ppt

Download

Mathematical Foundation of Computer Science Question Paper

Download

Mathematical Foundation of Computer Science Study Material

Download

List of Reference Books for Mathematical Foundation of Computer Science – 2nd Year

  • Discrete Mathematical Structures with Applications to Computer Science, J. P.Tremblay and P. Manohar, Tata McGraw Hill.
  •  Elements of Discrete Mathematics-A Computer Oriented Approach, C. L. Liu and D. P. Mohapatra, 3rdEdition, Tata McGraw Hill.
  • Discrete Mathematics and its Applications with Combinatorics and Graph Theory, K. H. Rosen, 7th Edition, Tata McGraw Hill.
  • Discrete Mathematics for Computer Scientists and Mathematicians, J. L. Mott, A. Kandel, T.P. Baker, 2nd Edition, Prentice Hall of India.
  • Discrete Mathematical Structures, BernandKolman, Robert C. Busby, Sharon Cutler Ross, PHI.
  • Discrete Mathematics, S. K. Chakraborty and B.K. Sarkar, Oxford, 2011.

Mathematical Foundation of Computer Science Syllabus – 1st sem

UNIT -I: Mathematical Logic:

Propositional Calculus: Statements and Notations, Connectives, Well-Formed Formulas, Truth Tables, Tautologies, Equivalence of Formulas, Duality Law, Tautological Implications, Normal Forms, Theory of Inference for Statement Calculus, Consistency of Premises, Indirect Method of Proof. Predicate Calculus: Predicative Logic, Statement Functions, Variables and Quantifiers, Free and Bound Variables, Inference Theory for Predicate Calculus.

UNIT -II: Set Theory:

Introduction, Operations on Binary Sets, Principle of Inclusion and Exclusion, Relations: Properties of Binary Relations, Relation Matrix and Digraph, Operations on Relations, Partition and Covering, Transitive Closure, Equivalence, Compatibility and Partial Ordering Relations, Hasse Diagrams, Functions: Bijective Functions, Composition of Functions, Inverse Functions, Permutation Functions, Recursive Functions, Lattice and its Properties.

UNIT- III: Algebraic Structures and Number Theory:

Algebraic Structures: Algebraic Systems, Examples, General Properties, Semi Groups and Monoids, Homomorphism of Semi Groups and Monoids, Group, Subgroup, Abelian Group, Homomorphism, Isomorphism, Number Theory: Properties of Integers, Division Theorem, The Greatest Common Divisor, Euclidean Algorithm, Least Common Multiple, Testing for Prime Numbers, The Fundamental Theorem of Arithmetic, Modular
Arithmetic (Fermat‘s Theorem and Euler‘s Theorem)

UNIT -IV: Combinatorics:

Basic of Counting, Permutations, Permutations with Repetitions, Circular Permutations, Restricted Permutations, Combinations, Restricted Combinations, Generating Functions of Permutations and Combinations, Binomial and Multinomial Coefficients, Binomial and Multinomial Theorems, The Principles of Inclusion Exclusion, Pigeonhole Principle and its Application.

UNIT -V: Recurrence Relations:

Generating Functions, Function of Sequences, Partial Fractions, Calculating Coefficient of Generating Functions, Recurrence Relations, Formulation as Recurrence Relations, Solving Recurrence Relations by Substitution and Generating Functions, Method of Characteristic Roots, Solving Inhomogeneous Recurrence Relations

UNIT -VI: Graph Theory:

Basic Concepts of Graphs, Sub graphs, Matrix Representation of Graphs: Adjacency Matrices, Incidence Matrices, Isomorphic Graphs, Paths and Circuits, Eulerian and Hamiltonian Graphs, Multigraphs, Planar Graphs, Euler‘s Formula, Graph Colouring and Covering, Chromatic Number, Spanning Trees, Algorithms for Spanning Trees (Problems Only and Theorems without Proofs).

MFCS  Important Questions

  •  Prove that a group consisting of three elements is an abelian group?
  •  Prove that G={-1,1,i,-i} is an abelian group under multiplication?
  •  Let G= {-1,0,1} . Verify that G forms an abelian group under addition?
  •  Prove that the Cancellation laws hold good in a group G.?
  • Prove that the order of a-1 is the same as the order of a.?
  •  Explain in brief about fermats theorem?
  • State Division algorithm and apply it for a dividend of 170 and divisor of 11.
  • Explain in brief about the Division theorem?
  •  Explain in brief about GCD with example?
  • Prove that the sum of two odd integers is an even integer?
  •  Explain in brief about Euler’s theorem with examples?
  • Explain in brief about the Principle of Mathematical Induction with examples?
  •  Define the Prime number? Explain in brief about the procedure for testing of prime numbers?
  • Using Fermat’s theorem, find 3201 mod 11.
  • Use Euler’s theorem to find a number between 0 and 9 such that a is congruent to 7 1000 (mod 10)
  •  Find the integers x such that i) 5x≡4 (mod 3) ii) 7x≡6 (mod 5) iii) 9x≡8 (mod 7)
  • Determine GCD (1970, 1066) using the Euclidean algorithm.
  •  If a=1820 and b=231, find GCD (a, b). Express GCD as a linear combination of a and b.
  •  Find 117 mod 13 using modular arithmetic.

Buy Mathematical Foundation of Computer Science Books for 1st year Online at Amazon.in

Mathematical Foundation for Computer Science
  • M. Vasanthi
  • Narosa Publishing House Pvt. Ltd.
  • Paperback
  • English
Sale
Mathematical Foundation of Computer Science
  • Y.N. Singh
  • New Age International Private Limited
  • Edition no. First (01/01/2005)
  • Paperback: 392 pages
Sale
Mathematical Foundations of Computer Science
  • Shahnaz Bathul
  • PHI Learning
  • Edition no. 2nd Revised edition (01/30/2016)
  • Paperback: 480 pages
Mathematical foundation for computer science
  • Jayant Ganguly
  • Pearson Education
  • Paperback
  • English
Sale
Mathematical Foundations of Computer Science
  • G. Shanker Rao
  • I K International Publishing House Pvt. Ltd
  • Edition no. Revised and Updated (06/10/2009)
  • Paperback: 472 pages
Sale
Mathematical Foundation of Computer Science

Warning: sizeof(): Parameter must be an array or an object that implements Countable in /srv/users/marvelserver/apps/examupdates2019/public/wp-content/plugins/aawp/includes/aawp/class.aawp-functions.php on line 1151
  • Subsequently, he became a selected Senior Scientist of the Hungarian Academy of sciences, Budapest, and the Indian National Science Academy, New Delhi, for the period August - September, 2005.
  • He was the Principal Investigator of three major research projects sponsored by the University Grants commission, New Delhi. He was a Fellow of the Andhra pradesh Academy of Sciences, and also and A.P. Scientist awarded (2009).
  • He was the Elected General Secretary of "Andhra Pradesh Socirty for Mathematical Sciences" (2014-2016)
  • Dr. Tumurukota Venkata Pradeep Kumar is presently working as Assistant Professor in Mathematics in University Engineering College, Acharya Nagarjuna University, Nagarjuna Nagar, A.P.
  • Dr. Shaik Mohiddin Shaw is presently working as Assistant Professor in Mathematics in Narasaraopet Engineering College, Narasaraopet, A.P. India.

We provided the Download Links to Mathematical Foundation of Computer Science Notes Pdf-  Download B.Tech Notes, Study Material, Books, for Engineering Students. Share this article with your classmates and friends so that they can also follow Latest Study Materials and Notes on Engineering Subjects. Any University student can download given B.Tech Notes and Study material or you can buy B.Tech 2nd Year Mathematical Foundation of Computer Science Books at Amazon also. For any query regarding on Mathematical Foundation of Computer Science Pdf Contact us via the comment box below.

📢 Get Latest Exam Updates via E-mail ✉

Note : Submit your name, email, state and updates category below.
  • This field is for validation purposes and should be left unchanged.
1 Comment
  1. Neelesh Singh says

    Respected Sir & Madam
    In above Mathematical Foundation of Computer Science Notes Pdf some chapters are missing as follows –
    Unit 4 Combinatorics
    Unit 5 Recurrence Relations
    Unit 6 Graph THEORY
    PLEASE UPLOAD ALSO THAT .

Leave A Reply

Your email address will not be published.