Discrete Mathematics
( 25 Module )

module #1
Introduction to Discrete Mathematics
Overview of discrete mathematics, its significance, and applications

module #2
Sets and Operations
Basic set operations, uri ng sets, at set identity

module #3
Itakda ang Relations and Functions
Introduction to relations, functions, and their properties

module #4
Combinatorics:Counting Principles
Basic counting principles, permutation, and combinations

module #5
Combinatorics:Recurrence Relations
Introduction to recurrence relations and their applications

module #6
Number Theory:Divisibility and Primes
Properties of integers, divisibility, and prime numbers

module #7
Number Theory:Congruences
Introduction to congruences, modular arithmetic, at cryptographic applications

module #8
Algebraic Structures:Groups
Definition and properties of groups, subgroups, and homomorphisms

module #9
Algebraic Structures:Rings and Fields
Definition and properties of rings, fields, and their applications

module #10
Graph Theory :Basics
Introduction to graph theory, basic definitions, and graph representation

module #11
Graph Theory:Traversability
Graph traversability, Eulerian and Hamiltonian paths, and circuits

module #12
Graph Theory:Connectivity
Pagkakakonekta ng graph, mga konektadong bahagi, at minimax theorems

module #13
Discrete Probability
Introduction to discrete probability, events, and probability spaces

module #14
Discrete Random Variables
Discrete random variables, probability distribution, at inaasahang value

module #15
Trees and Forests
Introduction to trees, forest, and their applications in computer science

module #16
Lattices and Boolean Algebras
Introduction to lattices, Boolean algebras, and their applications

module #17
Recursion at Induction
Recursion, mathematical induction, at structural induction

module #18
Discrete Optimization
Introduction to discrete optimization, linear programming, at integer programming

module #19
Modeling with Discrete Mathematics
Applications of discrete matematika sa computer science, networking, at coding theory

module #20
Computational Complexity
Introduction to computational complexity, time and space complexity, and reducibility

module #21
Logic and Propositional Calculus
Introduction to propositional logic, propositional calculus, and logical operators

module #22
Predicate Logic
Introduction to predicate logic, predicates, and quantifiers

module #23
Model Theory
Introduction to model theory, structures, and interpretations

module #24
Aplikasyon ng Discrete Mathematics
Real-world applications of discrete mathematics sa computer science, cryptography, at data analysis

module #25
Pagtatapos ng Kurso at Konklusyon
Pagpaplano ng mga susunod na hakbang sa karera sa Discrete Mathematics

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