Course Name: Linear Algebra

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-Universität Bochum, Universität 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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 Syllabus

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