Introduction to Abstract and Linear Algebra

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

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