Discrete Math Course Online

11 Lesson

40 Hours

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The Discrete Math Course online is a comprehensive program that teaches essential mathematical concepts critical to computer science, data science, software engineering and various other technical fields. Through this course, you will explore topics like logic, algorithms, cryptography, graph theory and more, while gaining a strong foundation in mathematical reasoning and problem-solving.

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Overview

This online training provides an in-depth exploration of discrete mathematics, focusing on the principles and techniques that form the backbone of computer science and engineering. It covers everything from logic and set theory to cryptography and probability, preparing students for real-world challenges in the tech industry. Whether you are an aspiring data scientist, software developer, or IT professional, this course will sharpen your skills in algorithm design, problem-solving and mathematical analysis.

The course is designed to be practical and engaging, offering real-world applications for each topic to help you build both theoretical knowledge and practical skills.

Prerequisites

To get the most out of this course, it is beneficial to have a solid foundation in the following areas:

Basic Algebra
Basic Geometry
Calculus (Beneficial for some levels)
Linear Algebra (Beneficial for certain topics)
Introductory Programming (Helpful for Computer Science majors)
Logical Reasoning

What Will You Learn

By the end of this course, you will have a deep understanding of the following key areas:

Logic and Proofs
Set Theory
Number Theory (Modular Arithmetic)
Combinatorics (Counting Techniques)
Graph Theory
Recursion
Algorithms
Cryptography
Probability

Who Can Enroll for This Course

This course is suitable for a variety of individuals looking to improve their mathematical and computational knowledge:

Computer Science Students
Engineering Students
Data Science Aspirants
Software Developers
IT Professionals
System Analysts
Individuals Preparing for Technical Interviews
Anyone Interested in Learning Discrete Mathematics
College Instructors Looking to Teach Discrete Math
Enthusiasts with Basic Mathematical Background

Benefits

The Discrete Math Course offers numerous benefits, including:

Foundation for Core Computer Science Concepts
Algorithm Design Skills
Cryptography Knowledge
Software Development Support
Enhanced Logical Reasoning
Foundation for Data Analysis & Operations Research
Deeper Mathematical Understanding
Improved Problem-Solving and Critical Thinking
Real-World Applications of Math
Enhanced Proof Writing Skills

Key Features

24 X 7 Lifetime Support
100% Money-Back Guarantee
Flexible Schedule
100% Job Assistance
Experienced & Professional Trainers
1 On 1 Training Option Available

Course Curriculum

Lesson 1 - Introduction to Discrete Mathematics

1. Overview of Discrete Mathematics

2. Importance in Computer Science and Engineering

3. Basic Mathematical Structures: Sets, Relations, Functions

Lesson 2 - Logic and Proofs

1. Propositional Logic (Logical Connectives, Truth Tables, Logical Equivalence)

2. Predicate Logic (Quantifiers: ∀, ∃, Universally and Existentially Quantified Statements)

3. Proof Techniques (Direct Proofs, Proof by Contradiction, Proof by Induction, Proof by Counterexample)

Lesson 3 - Set Theory

1. Sets and Operations (Union, Intersection, Difference, Complement, Power Set)

2. Relations and Functions (Reflexive, Symmetric, Transitive, Equivalence Relations, Domain, Range)

3. Cardinality of Sets (Countable vs. Uncountable, Cardinality of Infinite Sets)

Lesson 4 - Number Theory and Modular Arithmetic

1. Divisibility and Prime Numbers (Divisibility Rules, Prime Factorization, Fundamental Theorem of Arithmetic)

2. Modular Arithmetic (Congruence Relations, Modular Inverse, Applications in Cryptography)

3. Greatest Common Divisor and Euclidean Algorithm

Lesson 5 - Combinatorics

1. Basic Counting Principles (Addition and Multiplication Rules)

2. Permutations and Combinations (Factorial Notation, Permutations with Repetition, Combinations, Binomial Coefficients)

3. Pigeonhole Principle, Inclusion-Exclusion Principle, Binomial Theorem

Lesson 6 - Graph Theory

1. Basic Graph Concepts (Vertices, Edges, Degree of a Vertex, Types of Graphs)

2. Graph Representations (Adjacency Matrix and List)

3. Paths and Connectivity (Eulerian and Hamiltonian Paths)

4. Shortest Path Algorithms (Dijkstra's Algorithm, Bellman-Ford Algorithm)

Lesson 7 - Recursion and Recurrence Relations

1. Understanding Recursion (Recursive Definitions, Base Case, Recursive Case)

2. Solving Recurrence Relations (Linear Recurrence Relations, Substitution and Iteration, The Master Theorem)

Lesson 8 - Algorithms

1. Algorithm Analysis (Time and Space Complexity, Big-O Notation, Asymptotic Analysis)

2. Sorting Algorithms (Bubble Sort, Merge Sort, Quick Sort)

3. Searching Algorithms (Binary Search, Linear Search)

4. Graph Algorithms (Depth-First Search, Breadth-First Search)

Lesson 9 - Cryptography

1. Introduction to Cryptography (Symmetric and Asymmetric Encryption)

2. RSA Algorithm (Public and Private Keys, Modular Arithmetic in Cryptography)

3. Cryptographic Protocols (Digital Signatures, Hash Functions)

Lesson 10 - Probability

1. Basic Probability Concepts (Sample Space, Events, Probability Laws)

2. Conditional Probability (Bayes' Theorem)

3. Discrete Random Variables (Probability Distributions, Expectation and Variance)

4. Binomial Distribution

Lesson 11 - Advanced Topics

1. Advanced Graph Theory (Network Flow, Bipartite Graphs)

2. Advanced Recursion (Divide and Conquer Algorithms)

3. Advanced Combinatorics (Generating Functions, Partitions of Sets)

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Course Fees

Online Class Room Program

US $ 799.00

100% Money Back Guarantee

Duration : 40 Hrs
Plus Self Paced

Classes Starting From

Fast Track Batch 08 Jul 2026
Weekday Batch 13 Jul 2026
Weekend Batch 11 Jul 2026

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Want to know Today's Offer

Discrete Math Certification Online

After completing the Discrete Math Training and engaging in practical exercises, learners will receive a Course Completion Certificate from igmGuru. This certification validates your proficiency in key discrete mathematics concepts, including logic, set theory, graph theory, cryptography and probability. It demonstrates your ability to apply mathematical reasoning and problem-solving skills to real-world challenges in computer science, software development and data science.

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Discrete Math Course Online