Nptel Mathematics Linear Algebra Pdf

Course abstract

The main purpose of this course in the study of linear operators on finite dimensional vector spaces. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications. Except for an occasional reference to undergraduate mathematics, the course will be self-contained. The algebraic co-ordinate free methods will be adopted through out the course. These methods are elegant and as elementary as the classical as coordinatized treatment. The scalar field will be arbitrary (even a finite field), however, in the treatment of vector spaces with inner products, special attention will be given to the real and complex cases. Determinants via the theory of multilinear forms. Variety of examples of the important concepts. The exercises will constitute significant asstion ; ranging from routine applications to ones which will extend the very best students.

Course Instructor

Media Object

Prof. Dilip P. Patil

Dilip P. Patil received Ph. D. through University of Bombay in 1989. Currently he is a Professor of Mathematics at the Departments of Mathematics and of Computer Science and Automation, Indian Institute of Science, Bangalore. He has been a Visiting Professor at Ruhr-UniversitÃƒÂ¤t Bochum, UniversitÃƒÂ¤t Leipzig and several universities in Europe and Canada. His research interests are mainly in Commutative Algebra and Algebraic Geometry.
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Teaching Assistant(s)

NIKHIL GUPTA

M.Sc. (Engg.)
DEPARTMENT OF COMPUTER SCIENCE & AUTOMATION
Indian Institute of Science

RAHUL GUPTA

Doctor of Philosophy
DEPARTMENT OF COMPUTER SCIENCE & AUTOMATION
Indian Institute of Science

GOVIND SHARMA

Doctor of Philosophy
DEPARTMENT OF COMPUTER SCIENCE & AUTOMATION
IISc Bangalore

VINEET NAIR

Doctor of Philosophy
DEPARTMENT OF COMPUTER SCIENCE & AUTOMATION
Indian Institute of Science

ACHINTYA KUNDU

Doctor of Philosophy
DEPARTMENT OF COMPUTER SCIENCE & AUTOMATION
IISc Bangalore

PHILIPS GEORGE JOHN

M.Tech.
DEPARTMENT OF COMPUTER SCIENCE & AUTOMATION
IISc Bangalore

SHIVIKA NARANG

M.Tech. Research
DEPARTMENT OF COMPUTER SCIENCE & AUTOMATION
Indian Institute of Science

POOJA KULKARNI

M.Tech.
Computer Science and Automation

SAYANTAN MUKHERJEE

DOCTOR OF PHILOSOPHY
DEPARTMENT OF COMPUTER SCIENCE AND AUTOMATION
IISC BANGALORE

Course Duration : Jan-Apr 2017

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Enrollment : 01-Jan-2017 to 23-Jan-2017

Exam registration : 15-Feb-2017 to 27-Mar-2017

Exam Date : 23-Apr-2017

Certified Category Count

Success

Elite

Gold

Legend

>=90 - Elite + Gold
60-89 - Elite
40-59 - Successfully Completed
<40 - No Certificate

Final Score Calculation Logic

Assignment Score = Average of best 8 out of 12 assignments.
Final Score(Score on Certificate)= 75% of Exam Score + 25% of Assignment Score

Linear Algebra - Toppers list

HARI PRASAD CHETRI 74%

MORIGAON TOWN SECONDARY SCHOOL

Enrollment Statistics

Total Enrollment: -1

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Registration Statistics

Total Registration : 13

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Assignment

Exam score

Final score

Score Distribution Graph - Legend

Assignment Score: Distribution of average scores garnered by students per assignment.

Exam Score : Distribution of the final exam score of students.

Final Score : Distribution of the combined score of assignments and final exam, based on the score logic.