Teaching

Semester Lectures (IIT-K)

  1. Ordinary Differential Equations Lecture Notes. Lecture Videos.
    • MTH-102
      • II semester, 2019-20.
      • II semester, 2020-21.
    • MTH-114M
      • II semester, 2022-23.
  2. Partial Differential Equations Lecture Notes.
    • Mathematics-III (MTH-203), I semester, 2011-12.
    • PDES (MSO-203b),
      • I semester, 2012-13.
      • I semester, 2015-16.
      • I semester, 2019-20.
      • I semester, 2021-22.
  3. Several Variable Calculus and Differential Geometry (MTH-305).
    • II semester, 2016-17.
  4. Analysis-II (MTH-404). Lecture Notes.
    • II semester, 2011-12.
    • II semester 2017-18.
  5. Functional Analysis (MTH-405). Lecture Notes.
    • Summer Term, May 2010.
  6. Partial Differential Equations (MTH-424). Lecture Notes.
    • II semester, 2010-11.
    • II semester, 2013-14.
    • II semester, 2018-19.
    • I semester, 2022-23.
    • II semester, 2023-24.
  7. Sobolev Spaces and Applications (MTH-656). Lecture Notes.
    • II semester, 2012-13.
    • II semester, 2014-15.
    • II semester, 2015-16.
    • II semester, 2021-22.
    • I semester, 2023-24.
  8. Analytical Techniques for PDE (MTH-663). Lecture Notes.
    • I semester, 2010-11.
    • I semester, 2018-19.
  9. Introduction to Homogenization (MTH-719). Lecture Notes.
    • I semester, 2014-15.
    • I semester, 2017-18.
  10. Analysis (MTH-753). Lecture Notes. Lecture Videos.
    • I semester, 2013-14.
    • I semester, 2016-17.
    • I semester, 2020-21.

Short Lectures

  1. Variational Inequalities and Methods, October 2009 (Universidad de Concepcion, Chile). Lecture Notes.
  2. Γ-convergence and Homogenization, July 2010 (Workshop on Multiscale Analysis and Homogenization, IISc. Bangalore). Lecture Notes.
  3. Multi-variable Calculus, June 2011 (Mathematics Training & Talent Search (MTTS), ICT Mumbai).
  4. Classification of Second Order PDE, May 2012, National Programme on Differential Equations: Theory, Computation and Applications (NPDE-TCA), IIT Delhi.
  5. Basics of Homogenization, August 2012, Workshop on Elliptic and Parabolic Partial Differential Equations and Related Topics: Theory and Numerical Methods, IIT Gandhi Nagar, Gujarat.
  6. Asymptotic Expansion, H-convergence and Compensated Compactness, December 2013, Workshop on Homogenization, IIST Trivandrum, Kerala.
  7. Riesz-Fredhölm Theory, January 2014, Advanced Workshop on Computational Methods for Integral Equations and Applications, IIT Kanpur, Uttarpradesh. Lecture Notes.
  8. Basic PDE Overview, December 2014, ATM Workshop on PDE and Fourier Analysis, IIT Kanpur, Uttarpradesh. Lecture Notes.
  9. Bloch-Floquet Transform, December 2014, ATM Workshop on PDE and Fourier Analysis, IIT Kanpur, Uttarpradesh. Lecture Notes.
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Last modified: 17 March, 2024 14:45:44 IST