Semester Lectures (IITK)
 Ordinary Differential
Equations (MTH102) Lecture
Notes.
 Partial Differential
Equations Lecture
Notes.
 MathematicsIII (MTH203), I semester, 201112.
 PDES (MSO203b),
 I semester, 201213.
 I semester, 201516.
 I semester, 201920.
 Several Variable Calculus and
Differential Geometry (MTH305).
 AnalysisII (MTH404). Lecture
Notes.
 II semester, 201112.
 II semester 201718.
 Functional
Analysis (MTH405).
Lecture Notes.
 Partial Differential
Equations (MTH424). Lecture
Notes.
 II semester, 201011.
 II semester, 201314.
 II semester, 201819.
 Sobolev Spaces and
Applications (MTH656). Lecture
Notes.
 II semester, 201213.
 II semester, 201415.
 II semester, 201516.
 Analytical Techniques for PDE
(MTH663). Lecture Notes.
 I semester, 201011.
 I semester, 201819.
 Introduction to Homogenization
(MTH719). Lecture Notes.
 I semester, 201415.
 I semester,
201718.
 Analysis (MTH753). Lecture Notes.
 I semester, 201314.
 I semester, 201617.

Short Lectures
 Variational
Inequalities and Methods,
October 2009 (Universidad de Concepcion,
Chile). Lecture Notes.
 Γconvergence and
Homogenization, July 2010
(Workshop on Multiscale Analysis and
Homogenization, IISc. Bangalore). Lecture Notes.
 Multivariable Calculus, June
2011 (Mathematics Training & Talent
Search (MTTS), ICT Mumbai).
 Classification of Second Order PDE, May 2012,
National Programme on Differential Equations: Theory,
Computation and Applications (NPDETCA), IIT Delhi.
 Basics of Homogenization, August 2012,
Workshop on Elliptic and Parabolic Partial Differential
Equations and Related Topics: Theory and Numerical
Methods, IIT Gandhi Nagar, Gujarat.
 Asymptotic Expansion, Hconvergence and
Compensated Compactness, December 2013,
Workshop on Homogenization, IIST Trivandrum, Kerala.
 RieszFredhölm Theory, January 2014, Advanced
Workshop on Computational Methods for Integral Equations
and Applications, IIT Kanpur, Uttarpradesh. Lecture Notes.
 Basic PDE Overview, December 2014, ATM
Workshop on PDE and Fourier Analysis, IIT Kanpur,
Uttarpradesh. Lecture Notes.
 BlochFloquet Transform, December 2014, ATM Workshop
on PDE and Fourier Analysis, IIT Kanpur, Uttarpradesh. Lecture Notes.
