JNTUK R20 B Tech CSE 2-1 MFCS Material/ Notes PDF Download: Explore the world of mathematical foundations in computer science with the JNTUK R20 B Tech CSE 2-1 MFCS Material, specially crafted for B Tech students. This resource aims to introduce students to essential topics and techniques in discrete methods and combinatorial reasoning. Delve into a variety of applications and sharpen problem-solving skills through an algorithmic approach, emphasizing the close relationship between discrete mathematics and computer science.
Access this valuable material with ease by downloading the JNTUK R20 B Tech CSE 2-1 MFCS Material PDF, ensuring a convenient and accessible learning experience for academic success in the mathematical foundations of computer science.
JNTUK R20 B Tech CSE 2-1 MFCS Material – Units
| No. Of Units | Name of the Unit |
| Unit – 1 | Mathematical Logic |
| Unit – 2 | Set Theory, Functions |
| Unit – 3 | Combinatorics, Number Theory |
| Unit – 4 | Recurrence Relations |
| Unit – 5 | Graph Theory |
Unit 1 Syllabus PDF Download | JNTUK R20 B Tech MFCS Material
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: Predicates, Predicative Logic, Statement Functions, Variables and Quantifiers, Free and Bound Variables, Inference Theory for Predicate Calculus.
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Unit 2 Syllabus PDF Download | JNTUK R20 B Tech MFCS Material
Set Theory: Sets: Operations on Sets, Principle of Inclusion-Exclusion, Relations: Properties, Operations, Partition and Covering, Transitive Closure, Equivalence, Compatibility and Partial Ordering, Hasse Diagrams,
Functions: Bijective, Composition, Inverse, Permutation, and Recursive Functions, Lattice and its Properties, Algebraic Structures: Algebraic Systems, Properties, Semi Groups and Monoids, Group, Subgroup and Abelian Group, Homomorphism, Isomorphism.
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Unit 3 Syllabus PDF Download | JNTUK R20 B Tech MFCS Material
Combinatorics: Basis of Counting, Permutations, Permutations with Repetitions, Circular and Restricted Permutations, Combinations, Restricted Combinations, Binomial and Multinomial Coefficients and Theorems,
Number Theory: Properties of Integers, Division Theorem, Greatest Common Divisor, Euclidean Algorithm, Least Common Multiple, Testing for Prime Numbers, The Fundamental Theorem of Arithmetic, Modular Arithmetic, Fermat’s and Euler’s Theorems
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Unit 4 Syllabus PDF Download | JNTUK R20 B Tech MFCS Material
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
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Unit 5 Syllabus PDF Download | JNTUK R20 B Tech MFCS Material
Graph Theory: Basic Concepts, Graph Theory and its Applications, Subgraphs, Graph Representations: Adjacency and Incidence Matrices, Isomorphic Graphs, Paths and Circuits, Eulerian and Hamiltonian Graphs, Multigraphs, Bipartite and Planar Graphs, Euler’s Theorem, Graph Colouring and Covering, Chromatic Number, Spanning Trees, Prim’s and Kruskal’s Algorithms, BFS and DFS Spanning Trees.
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| To Download The JNTUK R20 B Tech CSE 2-1 MFCS Unit 5 Notes | Download PDF |
JNTUK R20 B Tech CSE Mathematical Foundations of Computer Science Material – Outcomes
- Problem-Solving Proficiency: Demonstrate skills in solving real-world mathematical problems effectively.
- Understanding Mathematical Principles: Comprehend fundamental mathematical principles and logical reasoning.
- Modeling and Software Proficiency: Apply knowledge of mathematical modeling and showcase proficiency in using mathematical software.
- Data Manipulation and Analysis: Manipulate and analyze data numerically and graphically using suitable software tools.
- Effective Mathematical Communication: Communicate mathematical ideas and results, whether in writing or verbally.
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