Jean-Luc Thiffeault's Homepage

Lecturing Material

Fall 2022

Math 415: Applied Dynamical Systems, Chaos and Modeling

Spring 2022

Rio: Lectures on Braids and Dynamics

Lectures at Instituto de Matemàtica, Universidade Federal do Rio de Janeiro, May 3–12, 2022

Lecture 1: Mappings of the torus

Lecture 2: From the torus to the disk

Lecture 3: Braids

Lecture 4:

All four lectures in one file: [pdf]

Spring 2021

Math 322: Applied Mathematical Analysis II

Math 704: Methods of Applied Mathematics II

Fall 2020

Math 321: Applied Mathematical Analysis I

Spring 2020

Math 322: Applied Mathematical Analysis II

Math 704: Methods of Applied Mathematics II


Fall 2019

Math 321: Applied Mathematical Analysis I


Summer 2019

Minicourse on The unified transform method

Some partial notes .

Lecture 1: Introduction; Steps 1 and 2

Lecture 2: Step 3; Vanishing terms

Lecture 3: A third-order example; Final thoughts

References

Archive of papers that use the Uniform Transform Method (maintained until 2014).


Spring 2019

Math 704: Methods of Applied Mathematics II


Fall 2018

Math 322: Applied Mathematical Analysis II


Math 415: Applied Dynamical Systems, Chaos and Modeling


Summer 2018

Minicourse on Exit time problems for swimming microorganisms

All lectures in one file.

Lecture 1: Drift and diffusion

Lecture 2: The mean exit time equation

Lecture 3: Examples of exit time calculations

Lecture 4: The swimming Brownian needle

Lecture 5: Introduction to stochastic calculus

Lecture 6: The Fokker–Planck equation


Spring 2018

Math 322: Applied Mathematical Analysis II


Math 715: Methods of Computational Mathematics II


Fall 2017

Math 415: Applied Dynamical Systems, Chaos and Modeling


Spring 2017

Math 322: Applied Mathematical Analysis II


Math 704: Methods of Applied Mathematics II


Fall 2016

Math 415: Applied Dynamical Systems, Chaos and Modeling


Summer 2016

Lectures at ICTS Summer Research Program on Dynamics of Complex Systems

Lecture 1: Stirring and mixing

Lecture 2: Filament model and effective diffusivity (Matlab example files: [zip] [tar.gz])

Lecture 3: Stirring by swimming organisms, part 1

Lecture 4: Stirring by swimming organisms, part 2


Spring 2016

Math 321: Applied Mathematical Analysis I


Math 322: Applied Mathematical Analysis II


Fall 2015

Math 415: Applied Dynamical Systems, Chaos and Modeling


Summer 2015

ICERM: Lectures on Topological Surface Dynamics

Lectures at the Summer Program on Computational Dynamics and Topology at ICERM, Brown University, Providence, RI, 14–16 July 2015

All three lectures in one file: [pdf]

Spring 2014

Math 715: Methods of Computational Mathematics II


Fall 2013

Math 322: Applied Mathematical Analysis II


Math 703: Methods of Applied Mathematics I


Spring 2013

Math 321: Applied Mathematical Analysis I


Math 801: Mathematical Aspects of Mixing


Fall 2012

Math 703: Methods of Applied Mathematics I


Spring 2012

Math 321: Applied Mathematical Analysis I


Math 322: Applied Mathematical Analysis II


Fall 2011

Math 322: Applied Mathematical Analysis II


Spring 2011

Math 552: Elementary Geometric and Algebraic Topology


Fall 2010

Math 221: Calculus and Analytic Geometry


Math 705: Mathematical Fluid Dynamics


Summer 2010

Woods Hole GFD Lectures: Swimming and Swirling in Turbulence

All lectures in one file: [pdf] [djvu]

Lecture 1: Stirring and mixing [pdf] [djvu] (Matlab example files: [zip] [tar.gz])

Lecture 2: Stirring by swimming organisms [pdf] [djvu] (Slides: [pdf] [djvu])

Lecture 3: Local stretching theories [pdf] [djvu]

Lecture 4: Mixing in the presence of sources and sinks [pdf] [djvu] (Slides: [pdf] [djvu]) (Matlab example files: [zip] [tar.gz])


Spring 2010

IMA Tag Team Tutorials: Transport and Mixing in Incompressible Flows

All lectures in a single file [pdf] [djvu]

Lecture 1: Stirring and Mixing [pdf] [djvu]

Lecture 2: Linear Flows [pdf] [djvu]

Lecture 3: Effective Diffusivity [pdf] [djvu] (Matlab example files: [zip] [tar.gz])

Lecture 4: Stochastic Models (part 1) [pdf] [djvu]

Lecture 5: Stochastic Models (part 2) [pdf] [djvu]

Lecture 6: Topological Mixing [pdf] [djvu]


Spring 2009

Math 217: Calculus with Algebra & Trigonometry II


Fall 2008

Math 415: Applied Dynamical Systems, Chaos and Modeling


Math 705: Mathematical Fluid Dynamics


Spring 2008

Math 221: Calculus and Analytic Geometry


Math 801: Braids


Fall 2007

Math 705: Mathematical Fluid Dynamics