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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Course Overview

The Introduction To Algebraic Topology (Part-I) Certification course is a master's level program and requires fundamental knowledge in the field of point-set topology and group theory. The course also touches upon the modern aspects of mathematics. The course will be offered to the candidates by IIT, Bombay and the syllabus of the Introduction To Algebraic Topology (Part-I) program is similar to the program of the National Centre for Mathematics. The course deals with different topics throughout the syllabus like path homotopy, convex geometry, covering spaces, and many more topics which gives a variety of knowledge to the students. 

The Introduction To Algebraic Topology (Part-I) certification syllabus of the course can be completed according to the pace of the candidate although the set timing for the completion of the training is 3 months. Candidates need not buy any external study material or notes as the course includes the full package of study material, assignments, tests, fonts clearing discussion platform, etc. The other benefits of the Introduction To Algebraic Topology (Part-I) by Swayam include a certification which will be provided to the students only if they acquire the passing grades in the exam and register for the same by paying the exam fees. 

The Highlights

  • Provided by IIT- Bombay, and NPTEL 
  • Self-paced training
  • Online session
  • No payment required for joining the course
  • Certification available after qualifying for the exam
  • Course duration is 12 weeks

Programme Offerings

  • assignments
  • Tasks
  • Modules
  • video lectures
  • Online discussion forum
  • audio lectures
  • references
  • Books

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Bombay
  • Participants can take part in the program without paying any Introduction To Algebraic Topology (Part-I) fees. 
  • Applicants willing to get a certificate at the end of the online course can pay the exam fees of Rs. 1000.

Introduction to Algebraic Topology (Part-I) fees details

Heads 

Amount in Rupees

Course fees

Free

Exam fees

Rs.1,000


Eligibility Criteria

Education

Knowledge of point-set topology, group theory, linear algebra is required for this course.

Certification Qualifying Details

Applicants willing to take part in the program must go through the process of an offline exam by achieving a total of at least 40 out of 100 marks which should include 10 marks out of 25 as assignment score and 30 out of 75 as exam score.

What you will learn

Mathematical skill

After successfully concluding the course, candidates will be able to learn the following-

  • Candidates will be able to learn the basics of algebraic topology in the Introduction To Algebraic Topology (Part-I) Certification.
  • Students will acquire knowledge of different types of homotopy like relative homotopy and path homotopy.
  • Participants will gain insights on how to construct typical structures in algebraic geometry. 
  • Candidates will come to know about the relation of algebra with fundamental groups in this program.
  • Students will learn about the classification of triangulated compact surfaces in the Introduction To Algebraic Topology (Part-I) online course.
  • Learners will get to know about convex geometry and simplicial complexes.
  • Candidates will learn about subdivision and simplicial approximation.

Who it is for

Given below are the candidate who can apply for the Introduction To Algebraic Topology (Part-I) online course-

  • Candidates who have information related to linear algebra and point-set topology.
  • Participants who want to get trained in algebraic topology.
  • Working professionals such as mathematicians, physicists.

Admission Details

Candidates willing to take part in the online training are required to go through the following process-

Step 1- Candidates need to directly visit the official link of the training - https://onlinecourses.nptel.ac.in/noc21_ma28/preview

Note - No " join the course" button is available on the official page of the training. Thus students are requested to kindly wait till the time it becomes available again and try again later.

The Syllabus

Evaluation process

Applicants willing to take part in the program and wish to obtain a certificate must go through the process of an offline exam by achieving a total of at least 40 out of 100 marks which should include 10 marks out of 25 as assignment score and 30 out of 75 as exam score.

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