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Algebra - II

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

Learners enrolled: 1254

SUMMARY

Course Status : Upcoming
Course Type : Core
Duration : 12 weeks
Start Date : 18 Jan 2021
End Date : 09 Apr 2021
Exam Date : 25 Apr 2021
Enrollment Ends : 25 Jan 2021
Category :
  • Mathematics
  • Level : Postgraduate
    This is an AICTE approved FDP course

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    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


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