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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.

Instructors

IIT Bombay Frequently Asked Questions (FAQ's)

1: How can I enroll in the course when no option is given?

Candidates can be a part of the course when the join course option is available on the website. If the option is not present on the page, candidates will have to be patient, wait and try again.

2: How will I be able to study from the Introduction To Algebraic Topology (Part-I) Certification?

The study material for the course will be given to all the students and candidates are supposed to study from the given material.

3: How to apply for a scholarship in this program?

There is no scholarship option available for this certification course since the course is completely free.

4: How do I need to prepare for the exam?

Candidates need to prepare for the exam from the video lectures and other study material provided by the creator of the course. However, they can take the help of external resources according to their wish.

5: Who is providing this course?

The course is being provided to all the learners by the Indian Institute of Technology, Bombay through Swayam.

6: What is the mode of payment for the exam fees?

The details regarding exam and exam fees will be announced on the official website when the registration procedure is open.

7: What are the requirements to pursue this Introduction To Algebraic Topology (Part-I) training?

Basic information on point-set topology, linear algebra, and group theory is required to go through the course.

8: What if I don't want to give the offline exam?

Candidates are free to not give the offline exam depending on their will. Candidates who do not give the exam will not be eligible to get the certificate for the program.

9: Is the exam fees refundable for the Introduction To Algebraic Topology (Part-I) program?

No, the exam fees are not refundable. However, it is the candidates' choice if he or she wants to appear for the exam.

10: Am I supposed to give an entrance exam before joining the course?

No, there are no exams for certification in this course. Candidates can directly join the course through the link.

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