Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances. INTENDED AUDIENCE : B.Tech, B.Sc., M.Sc (maths) , BA/MA Economics/StatisticsPREREQUISITES : CoreINDUSTRY SUPPORT : Basic mathematics at school level undergraduate level
Week 1: Matrices and Matrix operations, REF Week 2: Linear systems, Gauss Elimination and Inverse of a matrix Week 3: Rn; subspaces, linear independence, rank of a matrix Week 4: Determinants, rank, inveribility Week 5: Linear transformations,rank-nullity Week 6: Inner product spaces, Gram-Schmidt process Week 7: Eigenvalues and Eigenvectors Week 8: Similarity, diagonalization and applications
TEACHING ASSISTANT S. Venkitesh
S. Venkitesh is a final year Ph.D. student at IIT Bombay, with research interests in Combinatorics and Theoretical Computer Science, working with Prof. Srikanth Srinivasan. He has co-authored 3 research papers till date. His current research focuses on problems in Boolean function and circuit complexity, and theory and algorithms for linear codes, which have an inherent combinatorial/algebraic flavour. Two key methods often employed in such research are the polynomial method and the probabilistic method.He obtained his Masters’ degree in Mathematics from IIT Bombay (with Third rank) and Bachelors’ degree in Mathematics from University of Mumbai (with First rank). He has so far been a Teaching Assistant in 7 Mathematics courses of NPTEL and 10 courses at the Department of Mathematics, IIT Bombay. He also frequently accompanies the faculty of the Department of Mathematics, as a resource person for mathematics workshops at colleges in Mumbai.