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JNTUK R19 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 R19 B.Tech CSE 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 R19 B.Tech CSE 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 R19 B.Tech CSE 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 R19 B.Tech CSE 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 R19 B.Tech CSE MFCS Material
Graph Theory: Basic Concepts, Graph Theory and its Applications, Sub graphs, 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 R19 B.Tech CSE 2-1 MFCS Unit 5 Notes PDF | Download PDF |
JNTUK R19 B.Tech MFCS Material – Outcomes
- Solve math problems proficiently by understanding the principles and logic behind them. This means being able to tackle various mathematical challenges with confidence and accuracy.
- Utilize mathematical modeling techniques effectively, employing both theoretical knowledge and practical skills to represent real-world phenomena mathematically.
- Demonstrate proficiency in using mathematical software tools to manipulate and analyze data. This involves being comfortable with software applications designed for numerical and graphical analysis, such as MATLAB or Mathematica.
- Interpret data numerically and graphically using appropriate software, enabling clear visualization and understanding of mathematical concepts. This involves not only crunching numbers but also presenting findings in a visually comprehensible manner.
- Communicate mathematical ideas and results clearly, whether verbally or in writing. This entails being able to convey complex mathematical concepts in simple language, ensuring that others can grasp the significance of the findings effectively.
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