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Online Course

Introduction to Abstract and Linear Algebra

Indian Institute of Technology, Kharagpur and NPTEL via Swayam

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Overview


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.

INTENDED AUDIENCE:Mathematics
PREREQUISITES: NIL
INDUSTRY SUPPORT: NIL

Syllabus

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

Taught by

Prof. Sourav Mukhopadhyay

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