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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

Coursera’s Discrete Mathematics online training programme uncovers the fundamentals of discrete mathematics, and how it also forms the mathematical foundation of information and computer science. You will be familiarized with a wide range of mathematical aspects such as functions, graphs, relations, sets, etc. which are ubiquitous and thoroughly involved in computer science.

The online programme, Discrete Mathematics, is an intermediate-level course and attempts to teach through rigorous methods while also trying to avoid being extra formal. For this, the course not only introduces the concepts and gives the full proof, but also makes the process interesting by showing at least one non-trivial result. Examples and figures will be used whenever possible to avoid extremely formal representation.

The Shanghai Jiao Tong University offers the Discrete Mathematics online course and is known to be one of China’s fastest developing universities. The course curriculum features online video lectures, course readings, quizzes, assignments, and interactive feedback. Moreover, it also provides flexible deadlines for a self-paced learning experience. Upon completion, you will also earn the e-certificate, which can be shared across your LinkedIn profile, CV, or printed resume.

The Highlights

Flexible deadlines
Computer and information sciences
Completion in about 41 hours
100% online course
Shareable certificate
Self-paced learning
Intermediate-level course
Subtitles in English, Russian, Spanish, Portuguese (Brazilian), and French

Programme Offerings

Intermediate-level Course
Shareable Electronic Certificate
video lectures
Flexible Deadlines
financial aid.

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 2435	yes	Coursera

The Discrete Mathematics online training course provides free enrollment and hence requires no fee. However, if you wish to avail the full programme experience, including the shareable certificate, you must purchase the certificate experience through your preferred payment method.

Discrete Mathematics Fees Structure

Course	Fees
Discrete Mathematics (Certificate)	Rs. 2,435

What you will learn

Mathematical skillKnowledge of Algorithms

After completing the Discrete Mathematics online training by Coursera, you will be able to thoroughly understand:

What discrete mathematics is and how it differs from the other fields because of the way its “flavour” is.
How to prove non-trivial and fundamental facts about partial orders.
Be able to perform enumerative combinatorics
Analyze algorithms by using the binomial coefficients (n choose k)
The concept of asymptotics and the O-Notation
Basic principles of graph theory such as cycles, degree, isomorphism, paths, graphs, etc. and apply it in discrete mathematics
The class of graphs called trees and their various equivalent characterizations.
How to detect whether two trees are isomorphic by using an efficient algorithm
The characterization of Eulerian graphs, Hamiltonian paths, and their existence with Ore’s and Dirac’s theorem
How to prove Cayley’s formula and find a graph’s minimum spanning tree with edge costs
How to prove Hall’s Theorem and Konig’s theorem and prove Dilworth’s theorem using Konig’s theorem.
Formal statements, their proofs, establishing rigorous proofs, creating interesting results.

Who it is for

Computer Programmer

Admission Details

To enrol yourself for the Discrete Mathematics training course by Coursera follow the steps given below:

Visit the Course page.
Type in ‘Discrete Mathematics’ in the search bar and open your course.
Select the “Enroll for free” tab, and the sign-up page will appear.
Open an account on Coursera or log in via Google, Facebook, or Apple. If you have registered before, log in and get the course material.

Application Details

To be able to apply for the Discrete Mathematics course by Coursera, there is no need to fill extensive forms with intricate details. Simply, register by logging in and get access to the course material.

The Syllabus

Videos

Introduction to the course
Sets, Relations, Functions

Assignment

Sets, relations, and functions

Peer Reviews

Exercises for introduction lesson
Sets, Relations, Functions

Videos

Partial orderings: basic notions
Mirsky's and Dilworth's Theorem

Assignment

Partial orders, maximal and minimal elements, chains, antichains

Peer Review

Partial orders, maximal and minimal elements, chains, antichains

Videos

How to Count Functions, Injections, Permutations, and Subsets
Evaluating Simple Sums
Pascal's Triangle

Assignment

Counting Basic Objects

Peer Review

Counting Basic Objects

Videos

Combinatorial Identities
Estimating the Binomial Coefficient
Excursion to Discrete Probability: Computing the Expected Minimum of k Random Elements from {1,...,n}