Linear Algebra and Applications
March-June: Thursday at 10:30, Friday at 9:30.
12/03 (video, notes), 18/03 (video, notes), 19/03 (video, notes), 25/03 (video, notes), 1/04 (video, notes), 08/04 (video, notes), 09/04 (video, notes),
15/04 (video, notes), 16/04 (video, notes), 22/04 (video, notes), 23/04 (video, notes), 29/04 (video, notes), 30/04 (video, notes), 06/05 (video, notes),
07/05 (video, notes), 13/05 (video, notes), 14/05 (video, notes), 20/05 (video, notes), 21/05 (video, notes), 27/05 (video, notes),
28/05 (video1, video2, notes), 4/06 (video, notes), 10/06 (video, notes), 11/06 (video, notes), 17/06 (video, notes), 18/06 (video, notes)
EXAM: Friday, June 25 at 14:30.
Monitor: Julia Domingues, e-mail: juliahdomingues@hotmail.com
Time for monitoria: please select HERE
Link for online class: it will be sent by email to all registered students, and you can ask me for this link by email.
Introduction to the Theory of Oscillations and Waves
January-February, Wednesday/Thursday/Friday, 10:00-12:00.
Online: feel free to ask me for the link by email.
Classes:
6/jan (video, notes), 7/jan (video, notes), 8/jan (video, notes), 13/jan (video, notes), 14/jan (video, notes), 15/jan (video, notes),
21/jan (video, notes), 22/jan (video, notes), 27/jan (video, notes), 28/jan (video, notes), 29/jan (video, notes),
3/fev (video, notes, YT1, YT2), 4/fev (video, notes), 5/fev (video, notes), 10/fev (video, notes), 11/fev (video, notes, YT1, YT2, YT3),
12/fev (video, notes), 18/fev (video, notes), 19/fev (video, notes), 24/fev (video, notes, L1, L2, L3), 25/fev (video, notes), 26/fev (video)
Exercises:
Monitor: Ciro Campolina, e-mail: cs.campolina@gmail.com
Álgebra Linear e Aplicações March-June, Tue & Wed 15:30-17:00
Thermal and Statistical Aspects of Fluid Dynamics (together with Simon Thalabard)
January-February, Tue, Wed, Fri 15:00-17:00, room 224 (starting on January 7)
LECTURE NOTES:
Section 1 (by Alexei Mailybaev)
Section 2 (by Simon Thalabard)
August 1: Mini-course on Parametric Resonance
At the São Paulo School of Advanced Sciences on NONLINEAR DYNAMICS
Temporary links: youtube1, youtube2, youtube3, youtube4
March-June: Fluid Dynamics
Tue, Wed 13:30-15:00, room 333
Recommended literature:
ACHESON, D. J. – Elementary Fluid Dynamics, Oxford University Press, 1990.
BATCHELOR, G. – An Introduction to Fluid Dynamics, Cambridge University Press, 1967.
CHORIN, A. J., MARSDEN, J. E. – A Mathematical Introduction to Fluid Mechanics, second edition, Springer-Verlag, 1990.
COURANT, R., FRIEDRICHS, K. O. – Supersonic Flow and Shock Waves, Springer-Verlag, 1976.
LANDAU L.D., LIFSHITZ, E.M. Fluid Mechanics. (Course of T.P., Vol.6).
WHITHAM, G. – Linear and Nonlinear Waves. New York, John Wiley, 1974.
January-February: Introduction to the Theory of Oscillations and Waves
Some rather old notes
Exam questions with literature references
Ordinary Differential Equations
Hydrodynamic Turbulence (reading course)
Spontaneous Stochasticity (mini-course)
Bifurcations in ordinary differential equations
Fluid Dynamics
Introduction to the Theory of Oscillations and Waves
Lectures on Boundaries of Stability Domains (mini-course)
Partial Differential Equations
Measure and Integration
Thermal Flow of Fluids
Stability and Catastrophes in Mechanical Systems
Introduction to the Lattice Boltzmann method for fluid dynamics (reading course)