Mathematics- Discrete Mathematics-

Sets and Relations- Finite Set, Infinite Set, Empty Set (Null Set), Singleton Set, Subset, Proper Subset, Universal Set, Complement, Power Set, Disjoint Set, Equal Sets, Equivalent Sets, Binary Relation, Reflexive Relation, Symmetric Relation, Transitive Relation, Antisymmetric Relation, Equivalence Relation, Partial Order Relation, Total Order Relation, Injective Function (One-to-One), Surjective Function (Onto), Bijective Function.

Logic- Classical Logic, Symbolic Logic, Propositional Logic, Predicate Logic, Modal Logic, Fuzzy Logic, Temporal Logic, Non-classical Logic, Inductive Logic, Computational Logic.

Combinatorics- Enumerative Combinatorics, Permutations, Combinations, Binomial Coefficients, Graph Theory, Generating Functions, Partitions, Polya Enumeration Theorem, Combinatorial Optimization, Probabilistic Combinatorics.

Graph Theory- Undirected Graphs, Directed Graphs (Digraphs), Weighted Graphs, Unweighted Graphs, Simple Graphs, Multigraphs, Pseudographs, Planar Graphs, Bipartite Graphs, Complete Graphs, Regular Graphs, Eulerian Graphs, Hamiltonian Graphs, Tree Graphs, Directed Acyclic Graphs (DAGs), Hypergraphs.

Discrete Probability- Bernoulli Distribution, Binomial Distribution, Poisson Distribution, Geometric Distribution, Negative Binomial Distribution, Hypergeometric Distribution, Uniform Distribution, Multinomial Distribution.

Number Theory- Elementary Number Theory, Analytic Number Theory, Algebraic Number Theory, Diophantine Equations, Modular Forms and Elliptic Curves, Arithmetic Geometry, Computational Number Theory, Probabilistic Number Theory, Transcendental Number Theory.