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Basic Linear Algebra

By Prof. I. K. Rana   |   IIT Bombay
Learners enrolled: 1950   |  Exam registration: 30
About the course:
Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances.

INTENDED AUDIENCE : B.Tech, B.Sc., M.Sc (maths) , BA/MA Economics/Statistics
PREREQUISITES : Core
INDUSTRY SUPPORT : Basic mathematics at school level undergraduate level
Summary
Course Status : Upcoming
Course Type : Core
Language for course content : English
Duration : 8 weeks
Category :
  • Mathematics
Credit Points : 2
Level : Undergraduate
Start Date : 20 Jan 2025
End Date : 14 Mar 2025
Enrollment Ends : 27 Jan 2025
Exam Registration Ends : 14 Feb 2025
Exam Date : 23 Mar 2025 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.


Page Visits



Course layout

Week 1  :  Matrices and Matrix operations, REF
Week 2  :  Linear systems, Gauss Elimination and Inverse of a matrix
Week 3  :  Rn; subspaces, linear independence, rank of a matrix
Week 4  :  Determinants, rank, inveribility
Week 5  :  Linear transformations,rank-nullity
Week 6  :  Inner product spaces, Gram-Schmidt process 
Week 7  :  Eigenvalues and Eigenvectors
Week 8  :  Similarity, diagonalization and applications

Books and references

From Geometry to Algebra, an introduction to linear Algebra, Inder K Rana, Ane Books 2007. 

Instructor bio

Prof. I. K. Rana

IIT Bombay
Prof. Inder K. Rana presently is an Emeritus Fellow at Department of mathematics, IIT Bombay. He has an experience of 36 years of teaching mathematics courses to undergraduate (B. Tech) and master’s M.Sc. students at IIT Bombay. He has authored 4 books,namely,“Introduction to measure and Integration” American Mathematical Society, Graduate Studies in Mathematics Volume 45, 2000,“From Numbers to Analysis” World Scientific Press, 1998 ,Calculus @IITB: Concepts and Examples, math4all, India, 2007 “From Geometry to Algebra: A course in Linear Algebra” math4all, India, 2007.He has won three awards,“C. L. Chandna Mathematics Award” for the year 2000 in recognition of distinguished and outstanding contributions to mathematics research and teaching. The award is given by ‘SaraswatiVishvas Canada”,“Excellence in Teaching” award for the year 2004 Awarded by IIT Bombay, based on the evaluations by students."Aryabhata Award" 2012 All India Ramanujan Math Club, India, for teaching and work towards math education in India.

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: March 23, 2025 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

Please note that assignments encompass all types (including quizzes, programming tasks, and essay submissions) available in the specific week.

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 Bombay .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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