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Quick Facts

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

Course Overview

The ‘Combinatorics’ online certification course is created for the students to engage and discuss the various aspects of counting and the study of patterns in this course. The students of this course will engage in enhancing their knowledge of mathematics and algebra. The free online learning course is provided by Swayam in collaboration with the National Program for Technology Enhanced Learning(NPTEL). The classes for this program are conducted online aided by lectures, videos, books, and reference materials for about twelve weeks.

The instructor for this program is Prof. Narayanan N from the department of physics at the Indian Institute of Technology Madras. The students of this undergraduate level mathematics and algebra course will gain insights into the concepts of combinatorics.

The ‘Combinatorics’ online training program equips students with the E-Certificate and credits points after successfully completing this core course approved by the All India Council for Technical Education. The students are evaluated based on their weekly assignments and final examination for the certification.

The Highlights

Online mode
Free training
Twelve weeks
IIT faculty
Credit points
Course Certificate

Programme Offerings

videos
Lectures
Certificate
Credit Points
Weekly Assignments
Final Exam
Internal Exam
discussions

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Madras

The ‘Combinatorics’ certification fee should be paid to get access to the proctored exam at the end of the course for the certificate

Combinatorics fee structure

Program Fee	N/A
Exam Registration fee	Rs 1000

Eligibility Criteria

Those applying for the ‘Combinatorics’ online course are required to have a basic higher secondary school level mathematical knowledge to join the course.
The individuals with the knowledge of group theory are preferred for this course

Certificate qualifying details

The students of the ‘Combinatorics’ certification by Swayam are given the certificate based on the following standards,

Internal assessments - 10/25 (25%) in best 8 out of 12 assignments.
Final exam - 30/75(75%).
Total Average - 40/100 (Final Exam)

What you will learn

Mathematical skillKnowledge of Algorithms

The ‘Combinatorics’ certification syllabus is prepared for the students to engage in discussions involving the mathematical and algebraic concepts of combinatorics. The students of this course will get familiar with the following,

Finite and infinite aspects of the Pigeonhole Principle.
Fundamental counting tools and twelve-way fold compositions and partitions of integers and Stirling numbers.
Inclusion exclusion and Mobius intervention along with generative functions.
Polya’s theorem and graphs will be learned along with the structuring of species.

Who it is for

TeacherIT Engineer

The ‘Combinatorics’ online certification course is organized for the undergraduate level students of the mathematics domain and this course enables individuals who are interested in joining the companies like TCS, Infosys, and Microsoft research where they work in the areas of mathematical issues of discrete mathematics and algorit[p[phms.

Admission Details

The admission for the ‘Combinatorics’ certification course is done online through the course website.

Step 1: Go to the course page using the link,

https://onlinecourses.nptel.ac.in/noc21_ma68/preview

Step 2: Find the ‘Sign-In/Register’ option.

Step 3: Fill in the details and complete the registration.

Step 4: Join the course.

Application Details

The applicants of the ‘Combinatorics’ online course should enter the Swayam course account details on the registration form or can sign in using the Google, Facebook, or Microsoft account IDs.

The Syllabus

Pigeonhole Principle

Basic and Bijective counting.

Compositions and Partitions.

Advanced Counting.

Inclusion-Exclusion, Mobius Inversion.

Generating Functions

Graph theory, introduction, trees, connectivity.

Menger, Hall, Konig - equivalence and System of Distinct Representatives.

Planar graphs.

Groups and Polya theory.

Species of structures.

An overview, scope, and further directions.

Evaluation process

The students of this certification program are required to write the final proctored exam conducted after completing the course to qualify for the ‘Combinatorics’ certificate by Swayam.
The exam registration and payment are done online through the course website.
The students of this course should score a minimum of 30/75(75%) to pass the course.