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Discrete Mathematics

This subject walks you through the most important concepts step by step, starting from the foundations and moving towards practical exam-focused preparation. Use this page as your central place to revise topics, jump into notes, and quickly access practice material when you need it.

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U1

Mathematical Reasoning

topic 1 to 13

13 topics

Mathematical Reasoning: Sets, Subsets, Algebra of Sets

Propositions and Compound Statements

Basic Logical Operations

Propositional Logic and its Applications with Statement Problems

Propositions and Truth Tables

Tautologies and Contradictions

Conditional and Bi-conditional Statements

Arguments in Propositional Logic

Propositional Functions

Quantifiers and Negation of Quantified Statements

Relations and Equivalence Relations

Partial Ordering Relations

Functions and Recursively Defined Functions

U2

Combinatorics

topic 14 to 22

9 topics

Combinatorics: Basics of Counting Methods

Combinations and Permutations

Pigeonhole Principle

Graphs and its Types

Graph Isomorphism

Trees in Graph Theory

Connectivity in Graphs

Eulerian and Hamiltonian Paths

Spanning Trees and Shortest Path Problem

U3

Revisiting Special Functions

topic 23 to 25

3 topics

Revisiting Special Functions: Power, Floor, Increasing, Decreasing

Big O, Little O and Omega Notations

Orders of the Polynomial Functions

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