I am currently pursuing Ph.D in Mathematics at Indian Institute of Science(IISc),Bangalore.
I have completed M.Sc in Mathematics from Sri Sathya Sai Institute of Higher Learning in 2015.
I have 4 years of teaching experience , conducting tutorial sessions for UG students at IISc.
I am passionate about teaching mathematics, and explaining the concepts with real-life examples.
Experience: 4 years
Covers Linear Algebra required for Undergraduate Level in Most Engineering Courses.
Detailed Explanation of various concepts such as -Systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices.Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates. Linear transformations, Rank-nullity theorem, Algebra of linear transformations, Isomorphism, Matrix representation, Linear functionals, Annihilator, Double dual, Transpose of a linear transformation. Characteristic values and characteristic vectors of linear transformations, Diagonalizability, Minimal polynomial of a linear transformation, Cayley-Hamilton theorem, Invariant subspaces, Direct-sum decompositions, Invariant direct sums, The primary decomposition theorem, Cyclic subspaces and annihilators, Cyclic decomposition, Rational, Jordan forms,Inner product spaces, Orthonormal bases, Gram-Schmidt process.
Lots of Problems for Practice.
Tests for Evaluations are available at the end of each session.