Pedagogical knowledge of Mathematics
24th - 26th March 2018
Kerala School of Mathematics

This workshop will aim to touch upon some of these topics


    Vector Spaces, Subspaces, Basis, Linear transformation, Quotient Space, Rank-nullity theorem, Matrix representations, Inner product Spaces


    Eigenvalues and Eigenvectors; Geometric and Algebraic multiplicities, characteristic equation, spectral theorem for a symmetric operator in a f.d. inner
    product space. Structure of a single linear transformation, Algebra of Projections, Equivalence of Matrices and Similarity of Matrices

Isomorphism Theorems

    Isomorphism theorems, Linear Functionals, Dual bases, Operator Adjoints, norm, orthogonal direct sums,The Riesz Representation Theorem

Algebraic Structures

    Groups, Subgroups, Ring, Ideals, Quotient Rings, Maximal Ideals, Quotient fields, PIDs, UIDs, Fields and Algebras


    Modules, Submodules, Homomorphisms , Quotient Modules, The Cyclic Decomposition of a Primary Module

The student is best taught who is told the least

- Robert Lee Moore