AKTU Discrete Structures and Theory of Logic (BCS303) Handwritten Notes & Study Material PDF – B.Tech 2nd Year Sem 3

Discrete Structures & Theory of Logic – BCS303 Complete Handwritten Notes

Prepare for AKTU B.Tech 2nd Year, Semester III with EduQuest Complete Handwritten Notes for Discrete Structures & Theory of Logic (BCS303).

This 137-page study material covers the complete five-unit BCS303 syllabus in a clear, exam-oriented handwritten format. It includes topic-wise explanations, diagrams, worked examples, important questions, unit-wise summaries, glossary and an AKTU-pattern sample question paper.

🎓 Course Details

• Subject: Discrete Structures & Theory of Logic
• Course Code: BCS303
• Year: 2nd Year
• Semester: III
• Course Type: Programme Core
• Branches: CSE / Computer Science / Computer Engineering / IT & Allied Branches
• Pages: 137
• Coverage: Complete 5 Units
• Format: Handwritten Notes

🔹 UNIT I – Set Theory, Relations, POSET & Lattices

Topics include:

• Introduction to Sets
• Combination of Sets
• Relations
• Operations on Relations
• Properties of Relations
• Composite Relations
• Equality of Relations
• Recursive Definition of Relations
• Order of Relations
• POSET
• Hasse Diagrams
• Lattices
• Bounded, Complemented, Distributive, Modular & Complete Lattices

The PDF also includes worked examples and visual diagrams such as Venn diagrams, relation digraphs, Boolean matrix representations and Hasse diagrams.

🔹 UNIT II – Functions & Boolean Algebra

Covers:

• Functions – Definition & Types
• Classification of Functions
• Operations on Functions
• Growth of Functions
• Boolean Algebra
• Boolean Algebra Axioms & Theorems
• Algebraic Manipulation of Boolean Expressions
• Simplification of Boolean Functions
• Karnaugh Maps (K-Maps)

🔹 UNIT III – Theory of Logic & Predicate Logic

Includes:

• Propositions
• Truth Tables
• Tautology
• Contradiction
• Satisfiability
• Algebra of Propositions
• Theory of Inference
• First-Order Predicate Logic
• Well-Formed Formula
• Quantifiers
• Inference Theory of Predicate Logic

🔹 UNIT IV – Algebraic Structures

Topics include:

• Groups
• Subgroups
• Order of an Element
• Cyclic Groups
• Cosets
• Lagrange's Theorem
• Normal Subgroups
• Permutation Groups
• Symmetric Groups
• Group Homomorphisms
• Rings
• Fields

🔹 UNIT V – Graphs & Combinatorics

Covers:

• Graphs – Definition & Terminology
• Graph Representation
• Multigraphs
• Bipartite Graphs
• Planar Graphs
• Graph Isomorphism
• Homeomorphism
• Euler Paths
• Hamiltonian Paths
• Graph Coloring
• Combinatorics
• Counting Techniques
• Pigeonhole Principle

✅ 137 Pages Complete Handwritten Notes
✅ Complete BCS303 Syllabus
✅ All 5 Units Covered
✅ Topic-wise In-Depth Explanation
✅ Easy-to-Understand Handwritten Format
✅ Mathematical Diagrams & Illustrations
✅ Worked Examples
✅ Set Theory & Relations
✅ POSET & Hasse Diagrams
✅ Lattices
✅ Functions & Boolean Algebra
✅ K-Maps
✅ Propositional & Predicate Logic
✅ Group Theory, Rings & Fields
✅ Graph Theory & Combinatorics
✅ Unit-wise Summary & Glossary
✅ Important Questions
✅ AKTU-Pattern Sample Question Paper

The PDF's index confirms dedicated summary, glossary and important-question sections for every unit, followed by an AKTU-Pattern Sample Question Paper (Set A).