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Quick Facts

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

Course Overview

The Algebra-II program is a 12-week course in algebraic equations and concepts. It is a continuation study with advanced concepts. Set at a postgraduate level of study, one learning module is assigned per week. Students can previously complete the first course and proceed to cover advanced topics of the second course.

Based on mathematics, the Algebra-II certification syllabus covers core topics in algebra such as multilinear equations, tensor products, extensions, and fields. Candidates will also learn about Galois, Krull-Schmidt, and Jordan-Holder’s theorem in algebra. Learners can choose to attend a proctored exam by paying a nominal fee.

The Algebra-II online course is instructed by the faculty of the Institute of Mathematical Sciences, Chennai. Prof. Amritanshu Prasad and Prof. S Viswanath from the institute are the mentors. Students need to secure minimum scores in the assignments and the proctored exam scheduled for the certificate. Additionally, the faculties specify references and books learners can follow while studying.

The Highlights

  • 12-week programme
  • Core subjects
  • Course completion certificate 
  • Expert-driven curriculum
  • In-depth learning
  • Faculty development programme
  • Postgraduate level of study
  • Skilled faculty
  • Learning modules
  • Online programme
  • Video-based lectures

Important dates

Course Commencement Date

Start Date : 20 Jan, 2025

End Date : 11 Apr, 2025

Enrollment Date

End Date : 27 Jan, 2025

Other

End Date : 14 Feb, 2025

Certificate Exam Date

Start Date : 26 Apr, 2025

Programme Offerings

  • Learning Tools
  • Certificate
  • Online lectures
  • Video transcripts
  • Expert-driven curriculum
  • Core subjects.

Courses and Certificate Fees

Certificate AvailabilityCertificate Providing Authority
yesIMSc Chennai

Algebra -II course fee structure

Course 

Fee

Algebra-II (Learning materials + video tutorials)

FREE

Algebra-II (Learning materials + video tutorials + exam + certfificate)

Rs.1000


Eligibility Criteria

For the Algebra-II training, students should have completed the Algebra-I introductory course for better understanding.

Candidates need to score a minimum of 10 out of 25 in the assignments given throughout the course and 30 out of 75 in the final exam to receive the Algebra-II certification.

What you will learn

Mathematical skill
  • Anyone pursuing the Algebra-II certification course will become proficient in the following: 
  • Algebraic operations- Multilinear, extensions, equations, and much more
  • Galois theory
  • Krull-Schmidt theory
  • Jordan-Holder theory
  • Functors, categories, and natural transformations of numbers
  • Artin-Wedderburn theory
  • Semisimple rings

Who it is for

Students currently pursuing their Master of Science and Doctorates in Mathematics will benefit immensely from the Algebra-II online course.


Admission Details

To register for the Algebra-II certification course, follow the step-by-step guide given here:

Step 1: Log onto the course’s official webpage: Algebra - II - Course (nptel.ac.in). Have a look at the detailed preview available on the website.

Step 2: To enroll in the course, click on the ‘Sign-up’ option on the top of the page.

Step 3: Log in using a Facebook, Google, or Microsoft account. Alternatively, you can scroll to the bottom of the page and click on ‘Sign up now.

Step 4: Enter a username, password, and email address of your choice. Create a learning account with Swayam and begin learning.

Application Details

Joining the Algebra-II program requires candidates to provide their email addresses to create a new Swayam learning account. To receive the certificate, students need to pay the necessary fee.

The Syllabus

Evaluation process

Applicants need to pay a nominal fee of Rs. 1000 and appear for a proctored exam. A minimum score of 30 out of 75, along with an average assignment score of 10 or more will guarantee the students of the Algebra-II certification.

Instructors

IMSc Chennai Frequently Asked Questions (FAQ's)

1: What are some of the books I can refer to for the course?

Some of the book references mentioned for the Algebra-II certification course include Abstract Algebra by Dummit and Foote, Algebra by Michael Artin, and Basic Category Theory for Computer Scientists by Benjamin C Pierce.

2: How long does the course run for?

The program is a 12-week study of advanced concepts in algebra.

3: Should I create an account on Swayam even if I already have one?

If you already have a SWAYAM learning account, you can log in using your credentials and add the Algebra-II program to your learning dashboard.

4: At what level of study is the program set at?

This course is set at a post-graduation level of study.

5: How much must I score in my assignments to secure the certificate?

The assignments for the course carry a total score of 25. Apart from the examination, candidates need to secure a minimum of 10.

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