**Major Lecture Series Given:**

in the Department of Mathematics, IIT, Bombay, 1987-88.*Semigroup Theoretic Approach to Control Problems-(30 hours)*Department of Mathematics, Aligarh Muslim University, Aligarh (March'88).*On Variational Inequalities-(4 hours),***3 hours invited talk on**in the Instructional Conference on,*Finite element methods for partial integro-differential equations of parabolic type,***Computational and Finite Element Methods,**held in Indira Gandhi National Open University, New Delhi (22nd Oct-2nd Nov.'91).**3 hours talk on**in the Workshop on*Finite element methods (MODULE III),***Industrial Mathematics,**held in MS University, Baroda (6- 9th July'93).**8 hours Lectures on**Seoul National University, Seoul (Nov-Dec'93).*Finite Element Methods for Elliptic Equations,***2 hours talk on**in the Workshop on*Gradient based unconstrained optimization problems***Engineering Optimization**held in IIT,B (15-19^{th}March'94).**6 hours talk on**in the Refresher Course on*Sobolev Spaces and Variational Methods***Applied Functional Analysis,**held in Aligarh Muslim University, Aligarh (Feb'94).**6 hours talk on**in the Refresher Course, held in Sambalpur University, Sambalpur (January'95).*Theory of distribution and Sobolev Spaces***8 hours talk on**in the Refresher Course, held in Sambalpur University, Sambalpur (Feb'95).*Sobolev Spaces and Elliptic PDEs***7 hours Lecture on**in the Department of Mathematics, IIT, Bombay (1997 Summer).*Adaptive Finite Element Methods***A minicourse on**during April- June'98 in the Department of Mathematics, The Federal University of Parana, Curitiba Brazil). (4 hours every week).*The Theory of Finite Elements***Advanced Lecture Series on**during May- July'98 in the Department of Mathematics, The Federal University of Parana, Curitiba (Brazil). (4 hours every week).*Navier-Stokes Equations- Theory and Computational Aspects***4 hours Lectures on**during July'98 in the Department of Computer Science, Institute of Mathematical Sciences, Sao Paulo Univ., Sao Carlos (Brazil).*Finite Element Methods for Elliptic Equations***A series of Lectures on**during Sept.-Dec.'98 in the Department of Mathematical and Computer Sciences, Colorado School of Mines (Golden), USA.*ADI Galerkin Methods for Parabolic and Partial Integro-Differential Equations***3 hours Lectures on**during 15-17th May'2000 in the International Workshop on*Finite Element Methods for Elliptic Equations***Analysis and Applications,**held in the Department of Mathematics, Faculty of Sciences, Chiangmai University, Chiangmai (Thailand).**A series of Lectures on**during June'2000 in the Department of Mathematics, Seoul National University, Seoul (South Korea).*Parabolic Integro-Differential Equations and Numerical Methods***A series of Lectures on**is presently going in this semester on each saturday for one and half hours duration.*Single Conservation Law : Theory and Compution***A series of Lectures on**during June - July, 2001 in the Department of Mathematics, UFPR (Curitiba), Brazil*Discontinuous Galerkin Methods for Elliptical Problems,***A series of Lectures on**during June - July, 2001 in the Department of Mathematics, UFPR (Curitiba), Brazil*Kelvin Voight Fluids,***10 hours lectures on**in the National Training Programme and Workshop on*Scientific Computing***Industrial Mathematics**at Kelaniya University Colombo during 26--30th December'01.**Semester long weakly seminar series on**under a year long programme on Industrial Mathematics, Department of Mathematics, IIT Bombay.*Finite Element Methods*,**6 hours lectures on**in the workshop held in the Department of Mathematics, IIT Kharagpur (May'02).*Scientific Computing***6 hours lectures on**in the UGC Refresher Course in Amritsar Univ. during 8-10 August'02.*Finite Element Methods for Elliptic Problems***3 hours talk on**in the*Scientific Computing: Linear Solvers***UNESCO Sponsored Workshop on Industrial Mathematics,**Department of Applied Mathematics, MS University, Baroda during 1-7 Dec.'03.**Gave a talk on**in the National workshop on*A quick tour to the theory of Distributions***Wavelet Theory and Applications**held in the Institute of Physics, Bhubaneswar (10th February'04).**Gave a talk on**in the National workshop on*Basic Ingredients of Sobolev Spaces***Wavelet Theory and Applications**held in the Institute of Physics, Bhubaneswar (11th February'04).**3 hours talk on**in the*Option Derivatives in Financial Market***UGC sponsored Refresher Course on Financial Mathematics**at the Department of mathematics, University of Mumbai during 16th Feb. to 10th March'04 (16th Feb'04).**Gave 2 hours talk on**in the*Scientific Computing: Linear Solvers***Workshop on Teaching Engineering Mathematics**held at AISMS College of Engineering, Pune on December 16, 2004.**A series of eight Lectures (each one and half hours) on**in the Department of Mathematics, Dr. Babasaheb Ambedkar Marathawada University, Aurangabad during February 21-25, 2005.*Mathematical Theory of Finite Element Methods***Gave a talk to B.Sc. students on**in the Maulana Azad College, Aurangabad on February 22, 2005.*Why should industry Hire Mathematicians***Gave a talk on**under lectures series on*Industrial Mathematics: A Case Study***Development in Graduate Level Mathematics**held in Jawaharlal Nehru Engineering College, Auranagbad, on February 25, 2005, organised by Marathawada Mathematical Society.**Gave two talks on**Humboldt University, Berlin December'2005.*A priori and A posteriori Error Analysis of Local Discontinuous Galerkin Methods*- A series of lectures on Finite Element Methods for Parabolic Problems: in the Instructional School of Modern PDE held during,June,06; May-June 2007 and June-July,08.