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MCS 013 Discrete Mathematics | Quick Readable...
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| Category | : BACHELOR‘S DEGREE PROGRAMMES |
| Sub Category | : Bachelor of Computer Applications (BCA) |
| Products Code | : BCA-S2-3.06 |
| HSN Code | : 490110 |
| Language | : English |
| Author | : BMAP EDUSERVICES PVT LTD |
| Publisher | : BMAP EDUSERVICES PVT LTD |
| University | : IGNOU (Indira Gandhi National Open University) |
| Pages | : 300 |
| Weight | : 199 GM |
| Dimensions | : 21.0 x 29.7 cm (A4 Size Pages) |
MCS 013 Discrete Mathematics is a foundational course designed for Master of Computer Applications (MCA) students, focusing on essential topics in discrete mathematics relevant to computer science and information technology. This course aims to provide students with a solid understanding of discrete mathematical structures and their applications in various areas of computer science.
The course begins by covering set theory. Students learn about the fundamental concepts of sets, including set notation, set operations (union, intersection, complement), set properties, and set identities. They explore set theory applications in various mathematical and computational contexts.
Logic is another central focus of the course. Students delve into propositional and predicate logic, truth tables, logical equivalences, and basic proof techniques. They learn how to formulate and evaluate logical statements, analyze logical expressions, and construct valid arguments using deductive reasoning.
The course also covers relations and functions. Students understand the properties and types of relations, including reflexive, symmetric, transitive, and equivalence relations. They explore different types of functions, including injective (one-to-one), surjective (onto), and bijective functions, and learn about function composition, inverse functions, and function properties.
Graph theory is an essential component of discrete mathematics covered in this course. Students learn about graphs, trees, graph representations, graph traversals (depth-first search, breadth-first search), and graph algorithms (shortest path algorithms, minimum spanning tree algorithms). They explore the applications of graph theory in various computer science domains, including network analysis, data structures, and algorithm design.
Throughout the course, students engage in practical exercises and problem-solving activities to reinforce their learning. They solve problems, prove theorems, and analyze real-world applications of discrete mathematics concepts. By the end of the course, students develop strong analytical and problem-solving skills essential for success in computer science and information technology.
In addition to its educational value, this study guide serves as a valuable resource for students preparing for exams. Covering the entire syllabus comprehensively and spanning approximately 300-350 pages, it provides in-depth coverage of all discrete mathematics topics, ensuring thorough preparation for exams.
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