Abstract and Linear Algebraare 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.
Important For Certification/Credit Transfer:
Weekly Assignments and Discussion Forum can be accessed ONLY by enrolling here
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Note: Content is Free!
All content including discussion forum and assignments, is free
Final Exam (in-person, invigilated, currently conducted in India) is mandatory for Certification and has INR Rs. 1100 as exam fee.
INTENDED AUDIENCE: Mathematics
CORE/ELECTIVE: Core
UG/PG: UG
PREREQUISITES: NIL
INDUSTRY SUPPORT: NIL
4685 students have enrolled already!!
ABOUT THE INSTRUCTOR:
Dr. SouravMukhopadhyay is an associate professor at Indian Institute of Technology Kharagpur. He has completed his B.Sc (Honours in Mathematics) in 1997 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 InriaRocquencourt, 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 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
SUGGESTED READING MATERIALS:
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
CERTIFICATION EXAM :
The exam is optional for a fee.
Date and Time of Exam: October 28, 2018 (Sunday):
Time of Exams: Morning session 9am to 12 noon; Afternoon session: 2pm to 5pm.
Exam for this Course will be available in both morning & afternoon sessions.
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.
CERTIFICATE:
Final score will be calculated as : 25% assignment score + 75% final exam score
25% assignment score is calculated as 25% of average of Best 6 out of 8 assignments
E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. 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 http://nptel.ac.in/noc/
