The Teachers' Enrichment Workshop (TEW) series is a programme of the National Centre for Mathematics (NCM), which sponsors instructional schools and workshops at several levels in various places across the country. This particular TEW is also part of the outreach activity `Enriching Collegiate Education' of the Institute of Mathematical Sciences (IMSc) Chennai, which co-sponsors the activity.  It is meant for college teachers to revisit and update their content knowledge.  The lectures will cover specific topics which are relevant for what teachers themselves teach in their classrooms.   An important component of the workshop  is the discussion hour during which the teachers will have opportunities to get their doubts cleared and work out exercises, both routine and advanced.
This Workshop is meant primarily for mathematics teachers of Engineering colleges in and around Chennai.  In view of infrastructural difficulties,  the participants are NOT being provided any accommodation.

 Syllabus:  

• Applications of Linear Algebra : Matrices and linear transformations--rank, eigenvalues and eigenvectors, Cayley-Hamilton theorem.Symmetric, orthogonal matrices, positive definite matrices;Some applications of linear algebra to combinatorics and geometry will be covered from the book of Babai and Frenkl.
• Applications of Partial Differential Equations (PDE) : Introduction to Distributions, Introduction to Sobolev Spaces, Weak solutions to elliptic PDEs.
• Applications of Number theory (Cryptography) :  Modular arithmetic, finite fields, discrete logarithm problem,Diffie-Hellman key exchange, El Gamal public key cryptosystem, Pohlig-Hellman algorithm, RSA public key cryptosystem.

Time-Table :