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Introduction to Abstract and Linear Algebra

By Prof. Sourav Mukhopadhyay   |   IIT Kharagpur
Learners enrolled: 555

Abstract and Linear Algebra are applicable to every discipline, be it engineering and technology, economics or social sciences. It is essential for the students to get acquainted with the subject of Abstract and Linear Algebra at an early stage. The present course has been designed to introduce the subject to undergraduate/postgraduate students in science and engineering. The course contains a good introduction to each topic and an advance treatment of theory at a fairly understandable level to the students at this stage. 

INTENDED AUDIENCE: Mathematics
PREREQUISITES:          NIL
INDUSTRY SUPPORT:   NIL
Summary
Course Status : Upcoming
Course Type : Core
Duration : 8 weeks
Start Date : 23 Aug 2021
End Date : 15 Oct 2021
Exam Date : 23 Oct 2021
Enrollment Ends : 23 Aug 2021
Category :
  • Mathematics
Credit Points : 2
Level : Postgraduate



Course layout

Week 1  :  Basic set theory
Week 2  :  Group Theory
Week 3  :  Rings and Polynomial rings
Week 4  :  Field and finite fields
Week 5  :  Matrices and determinants
Week 6  :  Vector spaces over fields
Week 7  :  Linear transformations and their matrices
Week 8  :  Linear equations

Books and references

1. M. Artin: Algebra.
2. S. D. Dummit and M. R. Foote: Abstract Algebra.
3. I. N. Herstein: Topics in Algebra.
4.  K. Hoffman and R. Kunze: Linear Algebra.
5. Thomas W. Judson: Abstract Algebra: Theory and Applications

Instructor bio

Prof. Sourav Mukhopadhyay

IIT Kharagpur
Sourav Mukhopadhyay is an Associate Professor, Department of Mathematics at Indian Institute of Technology Kharagpur. He has completed his B.Sc (Honours in Mathematics) in1997 from University of Calcutta, India. He has done M.Stat (in statistics) and M.Tech (in computer science) from Indian Statistical Institute, India, in 1999 and 2001 respectively. He worked with Cryptology Research Group at Indian Statistical Institute as a PhD student and received his Ph.D. degree in Computer Science from there in 2007. He was a Research Assistant at the Computer Science department of School of Computing, National University of Singapore (NUS). He visited Inria Rocquencourt, project CODES, France and worked as a post-doctoral research fellows at the School of Computer Engineering, Nanyang Technological University (NTU), Singapore. He was a post-doctoral research fellows and a part time Lecturer with School of Electronic Engineering, Dublin City University (DCU), Ireland.

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: 23 October 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 6 assignments out of the total 8 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 Kharagpur .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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