Are you searching for Discrete Structures Notes PDF to prepare for your exams or build a strong base in theoretical computer science? You’re in the right place! Whether you’re a BCA, B.Sc (CS), B.Tech (CSE/IT), or MCA student, these easy-to-understand notes are perfect for mastering the mathematical foundations of computer science.
In this article, you’ll get:
Free downloadable PDF notes for each unit
Clear explanations in simple English
Topics covering the complete syllabus of BCA 2nd Semester
Best study material for quick revision
Explore the units below for detailed content. Want’s to explore more subjects – Study Hub Zone
What is Discrete Structures?
Discrete Structures (also known as Discrete Mathematics) is a branch of mathematics that deals with countable, distinct elements. It is essential in computer science for understanding logic, algorithms, graph theory, set theory, combinatorics, and relations.
These notes will help you understand:
Propositional and predicate logic
Set theory and operations
Relations and functions
Combinatorics and counting principles
Graph theory and trees
Boolean algebra and mathematical reasoning
Why Use Our Discrete Structures Notes?
👉 100% Syllabus Coverage – Ideal for BCA, CS, and Engineering Students
👉 Designed by professors, mathematicians, and CS faculty experts
👉 Includes theorems, Venn diagrams, truth tables, and solved problems
👉 Best for academic success, competitive exams & coding logic building
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Course Units
Unit 1: Set Theory, Logic, and Proof Techniques
Topics Covered: Definitions and operations of sets with Venn diagrams, set theory laws, Cartesian product, logical operations and truth tables, and introduces predicate logic, quantifiers, and methods of mathematical proof including direct, contradiction, and contrapositive.
Unit 2: Relations and Functions in Discrete Mathematics
Topics Covered: Focuses on properties of relations (reflexive, symmetric, transitive, equivalence), their representation using matrices and graphs, relation closures and composition, along with types of functions like one-to-one, onto, bijective, inverse, and function composition.
Unit 3: Algebraic Structures
Topics Covered: Explains binary operations and their properties, and introduces semigroups, monoids, and groups including subgroups, cyclic and permutation groups, along with homomorphism and isomorphism concepts in abstract algebra.
Unit 4: Combinatorics, Permutations, and Recurrence Relations
Topics Covered: Counting principles using addition and multiplication rules, permutations and combinations, pigeonhole principle, recurrence relations, and solving linear recurrence relations with constant coefficients.
Unit 5: Graph Theory and Tree Structures
Topics Covered: Includes types and representations of graphs, graph terminology (degree, path, cycles), special graphs like complete and bipartite, and covers tree concepts such as binary trees, spanning trees, rooted trees, and basic traversals like BFS and DFS.
Final Thoughts
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