Algebra - II

By Prof. Amritanshu Prasad, Prof. S. Viswanath | The Institute of Mathematical Sciences, Chennai, The Institute of Mathematical Sciences, Chennai

Learners enrolled: 1634

Second part of Foundational PG level course in algebra, suitable for M.Sc and first year PhD students in Mathematics.

INTENDED AUDIENCE : None

PREREQUISITES : Algebra I (highly recommended)

INDUSTRIES SUPPORT : None

Summary

Course Status :	Ongoing
Course Type :	Core
Duration :	12 weeks
Start Date :	18 Jan 2021
End Date :	09 Apr 2021
Exam Date :	25 Apr 2021
Enrollment Ends :	01 Feb 2021
Category :	Mathematics
Level :	Postgraduate

Course layout

Week 1:Fields, equations, extensions

Week 2:Ruler and compass constructions,

Week 3: Finite Fields

Week 4:Galois Theory - 1

Week 5:Galois Theory - 2

Week 6:Categories, functors, natural transformations - 1

Week 7: Categories, functors, natural transformations - 2

Week 8:Tensor products of modules

Week 9:Jordan-Holder theorem

Week 10:Krull-Schmidt theorem

Week 11: Semisimple rings, Artin-Wedderburn theorem

Week 12:Multilinear Algebra

Books and references

Algebra, by Michael Artin

Abstract Algebra, by Dummit and Foote

Basic Category Theory for Computer Scientists, by Benjamin C. Pierce

Instructor bio

Prof. Amritanshu Prasad

The Institute of Mathematical Sciences, Chennai

Amritanshu Prasad is a faculty at The Institute of Mathematical Sciences, Chennai. His research interest is in representation theory.

Prof. S. Viswanath

The Institute of Mathematical Sciences, Chennai

S Viswanath is a faculty at The Institute of Mathematical Sciences, Chennai. His research interest is in representation theory.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 25 April 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

SWAYAM Helpline / Support