Discrete Mathematics Structure detailed syllabus for Artificial Intelligence & Data Science (AIDS) for 2021-22 regulation curriculum has been taken from the Rajasthan Technical University official website and presented for the artificial intelligence & data science students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Artificial Intelligence & Data Science 4th Sem scheme and its subjects, do visit AIDS 4th Sem 2021-22 regulation scheme. The detailed syllabus of discrete mathematics structure is as follows.
Unit 1
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Unit 2
Set Theory: Definition of sets, countable and uncountable sets, Set operations, Partition of set, Cardinality (Inclusion-Exclusion & Addition Principles) Venn Diagrams, proofs of some general identities on sets. Relation: Definition, types of relation, composition of relations, Pictorial representation of relation, Equivalence relation, Partial ordering relation, Job-Scheduling problem. Function: Definition, type of functions, one to one, into and onto function, inverse function, composition of functions, recursively defined functions, pigeonhole principle. Theorem proving Techniques: Mathematical induction, Proof by contradiction. Composition of Functions. The Pigeonhole and Generalized Pigeonhole Principles.
Unit 3
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Unit 4
Posets, Hasse Diagram and Lattices: Introduction, ordered set, Hasse diagram of partially, ordered set, isomorphic ordered set, well ordered set, properties of Lattices, bounded and complemented lattices. Combinatorics: Introduction, Permutation and combination, Binomial Theorem, Multimodal Coefficients Recurrence Relation and Generating Function: Introduction to Recurrence Relation and Recursive algorithms, linear recurrence relations with constant coefficients, Homogeneous solutions, Particular solutions, Total solutions, Generating functions, Solution by method of generating functions.
Unit 5
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Unit 6
Graph Theory: Introduction and basic terminology of graphs, Planer graphs, Multigraphs and weighted graphs, Isomorphic graphs, Paths, Cycles and connectivity, Shortest path in weighted graph, Introduction to Eulerian paths and circuits, Hamiltonian paths and circuits, Graph coloring, chromatic number, Isomorphism and Homomorphism of graphs, matching, vertex/edge covering. uince oi Dean Acadtrotaia rs 40
For detailed syllabus of all other subjects of Artificial Intelligence & Data Science, 2021-22 regulation curriculum do visit AIDS 4th Sem subject syllabuses for 2021-22 regulation.
For all Artificial Intelligence & Data Science results, visit Rajasthan Technical University artificial intelligence & data science all semester results direct link.