Introduction to Abstract and Linear Algebra

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Free Online Course: Introduction to Abstract and Linear Algebra provided by Swayam is a comprehensive online course, which lasts for 8 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Introduction to Abstract and Linear Algebra is taught by Prof. Sourav Mukhopadhyay.

Overview
  • Abstract and Linear Algebra are 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:MathematicsPREREQUISITES: NILINDUSTRY SUPPORT: NIL

Syllabus
  • 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