These notes are purely based on BSC and B.Tech.

these are Descriptive notes I myself used these notes for Examination preparation and SCORED A+ Marks in Institute Examinations.
B.Sc. Third year Mathematics | As per NEP Handwritten Notes PDF

Chapters and Topics Included on PDF

Module-I

• Binary, Inverse, Composite and Equivalence relation
• Equivalence classes and its properties
• Partition of a set
• Partial order relation
• Partially ordered and Totally ordered sets
• Hasses Diagram
• Lattices – Definition and Dual, Bounded, Distributive and Complemented Lattices

Module-II

• Boolean Algebra
• Definition and properties
• Switching circuits and its applications
• Logic gates and circuits
• Boolean functions
• Disjunctive and conjunctive normal forms
• Bool’s expansion theorem
• Minimize the Boolean function using Karnaugh Map

Module – III

• Graphs
• Definition and types of graphs
• Subgraphs
• Walk, path and circuit
• Connected and disconnected graphs
• Euler graph
• Hamiltonian path and circuit
• Dijkstra’s Algorithm for shortest paths in weighted graph

Module – IV

• Trees and its properties
• Rooted, Binary and Spanning tree
• Rank and nullity of a graph 4.4 Kruskal’s and Prim’s Algorithm
• Cut-set and its properties
• Fundamental Circuit and Cut-Set
• Planar graphs
• Kuratowski’s two graphs