19+ Online Courses to Learn Discrete Mathematics

It is frequently said that discrete mathematics is helpful in tackling a wide assortment of common day-to-day issues. Notwithstanding, discrete mathematics, when extensively considered, supports about half a portion of pure arithmetic and of operations research, just as all of the computer software. Thus discrete mathematics online courses are gaining momentum as professionals from different fields are realising its importance. Pursuing online courses and certifications in this domain will equip you with essential knowledge and skills and help you master this concept not only in academic scenarios but also in work setup.

Discrete mathematics can be applied to our regular day-to-day problems and furthermore be utilised insignificant and intriguing examinations and corporate applications, all the same. For instance, if we talk about the application of discrete mathematics in Computer Science, Computers run programming and store files. The product and documents are both put away as colossal strings of 1s and 0s. Even Binary math is discrete arithmetic. Doing a web search in different languages or dialects without a moment's delay, and restoring a summary, utilises linear algebra. Indeed, even Google Maps utilises discrete mathematics to decide the quickest driving routes and times. Thus there is a lot of importance attached to discrete mathematics online courses as it is easier to learn at one’s comfort and pace. We have compiled here a list of some of the best online courses & certifications from top providers that will teach you everything about discrete mathematics.

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19 + Discrete mathematics online courses

Here is a list of some of the best discrete mathematics online courses that are definitely worth checking out

Note: The above data is collected and compiled by the Careers360 team.

1. Discrete Mathematics

One of the best discrete mathematics courses offered in the Coursera platform, where you can learn the fundamentals of this complex subject. The course delves into concepts such as sets, graphs, relations, functions, etc. that are crucial in computer science. By the end of the course, you will reach a certain level of mathematical maturity, i.e. you will comprehend different formal statements and their proofs. This is one of the best professional courses in mathematics for your time, money and effort, where you will find at least one interesting and non-trivial result and give full proof.

Available On: Shang Jiao Tong University via Coursera

Cost: Rs. 2152 (free for auditing)

Duration: Approx. 42 hours

Topics covered

• Introduction - Basic Objects in Discrete Mathematics
• Partial Orders
• Enumerative Combinatorics
• The Binomial Coefficient
• Asymptotics and the O-Notation
• Introduction to Graph Theory
• Connectivity, Trees, Cycles
• Eulerian and Hamiltonian Cycles
• Spanning Trees
• Maximum flow and minimum cut
• Matchings in Bipartite Graphs

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2. Discrete Mathematics

One of the top discrete mathematics online courses offered through the Swayam initiative. The course teaches you the fundamentals of discrete mathematics which is necessary for computer science students. The focus will be on problem-solving as well as proof. Also, there will be plenty of motivational illustrations and applications in the course. For the course, the basic requirement is high school level arithmetic and algebra.

Available on: IIT Gandhinagar, IIT Ropar via Swayam

Duration: 12 weeks

Cost: Rs. 1000 for certificate

Topics covered

• Set Theory
• Logic, Relations, Functions
• Mathematical Induction and Pigeonhole Principle
• Graph Theory - 01
• Graph Theory - 02
• Graph Theory - 03 and Generating Functions
• Principle of Inclusion-Exclusion
• Recurrence relations
• Advanced Topics

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3. Discrete Mathematics

One of the discrete mathematics online courses designed by the prestigious IIIT Bangalore. In this course, you will be able to apply the concept in various fields of computer science (programming, operating systems, compilers, artificial intelligence, computer networks, algorithms, cryptography, data structures, natural language processing, image processing, computer vision, etc.

Available on: IIIT Bangalore via Swayam

Duration: 12 weeks

Cost: Rs. 1000 for certificate

Topics covered

• Logic: Proposition and Predicate Logic, introduction to proof techniques
• Advanced proof techniques, resolution, induction
• Set theory and relations
• Various types of relations and functions
• Combinatorics Part I: permutations, combinations, sum rule, product rule, pigeon-hole principle, Ramsey numbers
• Combinatorics Part II: Combinatorial proofs, Catalan numbers, counting using recursion, principal of inclusion-exclusion, advanced counting techniques
• Recurrence equations and various methods of solving recurrence equations
• Cardinality theory, countable and uncountable sets, Cantor’s diagonalization, uncomputable functions
• Graph theory Part I: basic definitions, Euler’s theorem, bipartite graphs and matching, Hall’s marriage theorem, various operations on graphs
• Graph theory part II: isomorphism, vertex-connectivity, edge-connectivity, Euler graphs, and Hamiltonian graphs, various characterizations, vertex, and edge coloring
• Abstract algebra: groups, rings, fields
• Basic number theory: modular arithmetic, prime numbers, and properties, GCD, Chinese remainder theorem, Fermat’s little theorem, RSA cryptosystem

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4. Master Discrete Mathematics: Sets, Math, Logic, and more

If you are looking for online degree courses, this course is for you. This is one of the top discrete mathematics online courses offered in the Udemy platform where you will learn about the basic concepts of mathematical logic. Upon completion of this course, you will know how to use permutations and combinations as well as solve real-life problems using the same.

Available On: Udemy

Cost: Rs. 6400

Duration: 7 hours

Topics covered

• Set Theory
• Mathematical Logic and Truth Tables
• Combinations and Permutations
• Mathematical Proofs
• Graph Theory

5. Discrete Mathematics

This discrete math tutorial teaches the class participants about Reading, writing as well as thinking in an abstract and mathematical manner. It will teach you about the set theory as well as various other logical equivalences, which will further help you in formulating quantified statements. It will also teach you about the fundamental theorems of arithmetic and the Inverse and bijective functions.

Available On: Udemy

Cost: Rs. 8460/-

Duration: 19 hours

Topics covered

• Sets, Logic
• Number Theory
• Proofs, Functions, Relations
• Graph Theory
• Statistics, Combinatorics
• Sequence and Series

6. Graph Theory

This is one of those discrete math courses that specifically deals with The fundamental concepts of graph theory. It will teach you about various types of circuits and paths as well as the topics related to them. Upon the completion of this course, you will get to know about a large variety of graphs as well as their fundamental properties. The course will also teach you how to turn a matrix into a graph, and the other way round.

Available On: Udemy

Cost: Rs. 7040/-

Duration: 10 hours

Topics covered

• Supplements
• Fundamentals
• Paths, Graph Types
• Trees
• Digraphs and Tournaments
• Planar Graphs
• Graph Operations and Colorings
• Matching and Marriage

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7. Master Discrete Math 2020: More than 5 complete courses in 1

Another one of the longest discrete mathematics online courses offered in the udemy platform, this discrete math online course teaches the class participants about the correct way of interpreting as well as analysing logical statements by bringing to use connectives as well as quantifications. It will help you learn how to differentiate between the different types of notations of the set theory and also how you can utilise the old sets for constructing new ones.

Available On: Udemy

Cost: Rs, 1280/-

Duration: 16 hours

Topics covered

• Introduction
• Mathematical Statements
• Set Theory, Relations
• Functions and function notation
• Additive and Multiplicative Principles
• Binomial Coefficients
• Combinations and Permutations
• Combinatorial Proofs
• Advanced Principle of Inclusion and exclusion
• Counting Review with Detailed Solutions
• Arithmetic and Geometric Sequences
• Polynomial Fitting
• Solving Recurrence Relations
• Mathematical Induction
• Sequences review with detailed solution
• Propositional Logic
• Proofs and proving techniques
• Symbolic Logic and Proofs Review with Detailed Solutions
• Trees, Planar Graphs
• Coloring Graphs
• Euler Paths and Circuits
• Matching in Bipartite Graphs
• Graph and Number Theory

8. Master Discrete Mathematics-Set Theory, Relations & More

This course is good for all those individuals who want to learn about mathematical induction, Relations, functions as well as set theory and look for online diploma courses and certifications for the same. It will teach you about the basic fundamentals of the intersection as well as the union of 2 or more sets and also make you solve problems on the basis of this principle. It provides you with lifetime access to the course material and upon the completion of this course, you will also have a shareable certificate.

Available On: Udemy

Cost: Rs. 8640/-

Duration: 7 hours

Topics covered

• Course Introduction
• Set Theory - Introduction to Sets
• Types (Classification) of Sets
• Subset, Proper Subset, and Superset
• Power Set
• Universal Set
• The Set Operations
• Problems on Set Operations
• Venn Diagrams
• Problems on Venn Diagrams
• Relations, Types of Relations
• Functions, Types of Functions
• Even and Odd Functions
• Composition of Functions
• Inverse of a Function
• Discrete Mathematical Induction
• Bonus Lecture

9. Discrete Mathematics- Open Doors to Great Careers

In case you are looking to take up a course that is going to help you in refreshing your maths knowledge, then this is the right stop for you. This is one of the best discrete mathematics online courses for professionals as well as beginners, who do not have the luxury of time to take off-line classes. This course will give you a very strong and firm foundation in discrete mathematics, thus helping you pursue your future career. It is going to teach you about discrete mathematics which is one of the subjects very essential in Computer Science as well as data science.

Available On: Udemy

Cost: Rs. 1280/-

Duration: 4.5 hours

Topics covered

• Introduction
• Propositional Logic
• Predicate Logic
• Proofs
• Mathematical Induction
• Concluding Letter

10. Discrete Mathematics- Beginners Complete Math Crash course

This is one of the most comprehensive discrete mathematics online courses available on the market as it begins with making you fully understand the basic principles of mathematical logic, Injective as well as bijective Functions as well as the most important fundamentals of counting.

Available On: Udemy

Cost: Rs. 8640/-

Duration: 4 hours

Topics covered

• Math Logic
• Proofs
• Set Theory
• Functions and Relations
• Graph Theory
• Number Theory
• Combinations and Permutations

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11. Master Discrete Mathematics- Set Theory

The aforementioned course on discrete mathematics is going to fully assist you in acing your set theory examination questions. It will also teach you how to correctly bring into practice Venn diagrams and set laws, in case the sets are equal or unequal.

Available On: Udemy

Cost: Rs. 2560/-

Duration: 2 hours

Topics covered

• Introduction
• Set Theory
• Final Exam

12. Discrete Math for Computer Science

Talking about Discrete Math for Computer Science, this is a very good course which imparts knowledge about all the concepts that are essential in discrete mathematics for Computer Science. It provides you with a detailed explanation of the most essential concepts of discrete mathematics, logic, functions, and their varying properties.

Available On: Udemy

Cost: Rs. 8640/-

Duration: 2 hours

Topics covered

• Introduction
• Logic
• Sets, Relations, Functions
• Combinatorics
• Graphs
• Bonus

13. Discrete Math Series: Set Theory & Algebra masterclass

If you want to learn set theory and propositional logic, then is one of the best discrete mathematics online courses to take. You should have some basic knowledge about the fundamentals of discrete mathematics because this is a masterclass that is going to teach you about certain advanced topics in discrete mathematics and computer science.

Available On: Udemy

Cost: Rs. 8640/-

Duration: 6.5 hours

Topics covered

• Sets - Basics
• Relations
• Reflexive relation, Irreflexive relation
• Symmetric relation, Antisymmetric relation
• Asymmetric relation, Transitive relation
• Equivalence relation and Partially Ordered Relation
• Hasse Diagram
• Bonus Section

14. Discrete Mathematics - Complete Course

This is one of the high-level discrete mathematics certification courses that covers everything from introductory discrete mathematics topics to more advanced ones & is suitable for those people who already have some pre-acquired knowledge when it comes to discrete mathematics as well as computer science in general. It is going to teach you everything about graphs, boolean algebra, trees as well as lattices and is no doubt one of the best discrete mathematics courses on the platform currently.

Available On: Udemy

Cost: Rs. 8640/-

Duration: 5.5 hours

Topics covered

• Introduction
• Set Theory: Introduction and Representation
• Set Theory: Operations
• Propositional Logic
• Graph Theory

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15. Master Discrete Mathematics- Logic

This discrete math online course deals with the logical portion included in discrete mathematics as it mainly teaches you the correct method of Translating English sentences into predicate as well as Propositional logic. Furthermore, enrolling in the course will provide you with an easy method of determining when two formulas are equivalent by using truth tables as well as logic laws.

Available On: Udemy

Cost: Rs. 2560/-

Duration: 1.5 hours

Topics covered

• Introduction
• Logic
• Final Exam

16. Discrete Structures, Data structures, and Algorithms

One of the longest discrete mathematics online courses offered in the Udemy platform, this course teaches you about algorithm discrete structures as well as data structures. It teaches you about the basic mathematics that is required for all sorts of computing and also the most important structures that stand behind it. It will teach you about the fundamental aspects of various concepts like data structure, graph theory, logic, number theory as well as proof.

Available On: Udemy

Cost: Rs. 1,600/-

Duration: 29 hours

Topics covered

• Sets, Logic
• Quantified Statements and Mathematical Symbols
• Elementary Proofs, Sequences, and Series
• Induction, Recurrence Relations
• Set Theory
• Functions, Relations, Probability
• Math of Graphs
• C++ Review
• Linked Lists, Big-O Notation
• Master Theorem, Stacks, and Queues
• Sorting, Non-Comparison Sorting
• Hashing, Trees, Dynamic Programming
• Graphs, Assorted Problems

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17. Discrete Numeric Function and recurrence relation

One of the best discrete mathematics certification courses on the market, this is an ideal course in case you want to learn about disif crete numeric functions. It teaches you everything in detail from how to generate a numeric function to the recurring relations between them.

Available On: Udemy

Cost: Rs. 1280/-

Duration: 5 hours

Topics covered

• Set Theory
• Venn Diagram
• Discrete numeric function
• General function
• Different types of recurrence relations
• How to solve recurrence relations

18. Learn Binary Mathematics for students and beginners

This course specifically revolves around binary mathematics for computer science. It will teach you about the addition as well as subtraction of binary integers and how you can represent positive integers in binary. You will get to learn in-depth about fixed-point binary basics and addition and subtraction in the same. Most of the course content will be taught to you on the basis of the example of the Russian Peasant Algorithm.

Available On: Udemy

Cost: Rs. 1280/-

Duration: 2 hours

Topics covered

• Introduction
• Unsigned Binary
• Signed Binary
• Fixed Point Binary
• Floating Point Binary
• Exploring Multiplication of Binary Integers

19. Discrete mathematics for computer science complete course

This course is best suitable for you in case you are looking to learn about the role played by discrete mathematics in computer science. it's going to teach you about all the major concepts of discrete mathematics, that too with the use of examples in order to facilitate better understanding.

Available On: Udemy

Cost: Rs. 1280/-

Duration: 15.5 hours

Topics covered

• Truth Table, Tautology, Contradiction and logic gates in Discrete Mathematics
• Conditional Statements, Inverse, Converse, Contrapositive, Biconditional
• Set Theory with examples
• Venn Diagrams | Union Intersection Subsets Overlapping Disjoints Overlapping Set
• Set Identities | Laws and Proofs
• Cartesian Product | Binary Relation | Domain and Range of Relation
• Reflexive, Symmetric, Transitive, and Equivalence Relations
• Irreflexive, AntiSymetric, Partial Order Relations
• Inverse of a function, Composite Relation, Complementary Relation
• Arithmetics sequence with examples
• Geometric Sequence in discrete mathematics
• Series in discrete mathematics
• Mathematical Induction in discrete mathematics
• Methods of proof: Direct Method / Indirect Method
• Law of contradiction
• Permutations and Combinations
• Ordered & Unordered Partitions | Permutations with repetitions
• Tree Diagram
• Inclusion-Exclusion Principle, PigeonHole Principle
• Probability in discrete mathematics
• Laws of Probability
• Conditional Probability | Multiplication Theorem | Independence
• Graphs and their types
• Paths and Circuits, Matrix Representation of Graphs
• Isomorphism in graphs

20. Discrete Maths Problems

This is a great resource for all those students who are looking for problems as well as solutions for practicing and preparing for exams based on discrete mathematics. The course contents will also be useful for you in case you simply want to add your learning or test your own understanding of the concepts.

Available On: Udemy

Cost: Rs. 1280/-

Duration: 6 hours

Topics covered

• Sets, Relations, and Functions
• Mathematical Logic
• Mathematical Induction and Recurrence Relations
• Group theory
• Graph Theory
• Counting Theory
• Trees, Probability

21. Master Set Theory from scratch

This is one of the shortest discrete mathematics certification courses offered in the Udemy platform and it is compact. It will teach you how to perform a variety of operations on sets. It will teach you all about the C# platform and how you can use it to perform set operations. It provides you with a shareable certificate, once you complete the course and also with lifetime access to all the course material and content.

Available On: Udemy

Cost: Rs. 6400/-

Duration: 2.5 hours

Topics covered

• Introduction
• Types of Sets
• Deep in Sets
• Arithmetic of Sets
• Towards real world
• Real-World Applications

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Conclusion

Numerous students, particularly the brilliant and propelled ones, discover calculus, geometry, and even algebra to be dull, boring, and unacceptable. Seldom is this the situation with the most discrete math-related themes? At the point when we ask the students about their most favorite topics, most react to either "number theory” or "combinatorics.” Furthermore, when they are asked what their most unloved subject is, the staggering reaction is "geometry." Simply put, most Students find discrete mathematics comparatively more fun than variable-based math, geometry, or algebraic calculation. And in this age of mobility, discrete mathematics online courses have become the norm.

We emphatically suggest that, before you continue past geometry, you must spend some time learning at least the basic fundamentals of discrete math, by taking an introductory discrete mathematics course specifically the number theory, counting, and probability. You can begin studying discrete math—by taking any of the discrete mathematics online courses mentioned above, and we're certain that they will be extremely useful for you. You can even make an online course comparison to choose and enrol in the best discrete mathematics online courses.

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