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Past GT nonlinear Science courses |
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Spring 2007
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Fall 2006
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Spring 2006
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Fall 2005
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Spring 2005
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Fall 2004
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Spring 2004
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Fall 2003
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Spring 2003
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Fall 2002
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Spring 2002
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Fall 2001
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Spring 2001
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GT nonlinear graduate courses
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undergrad info
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(sorry, a bit incomplete)
Fall 2006
Renormalization Group Theory - Predrag Cvitanović
PHYS 8803 - Advanced graduate level course providing
introduction to Renormalization Group Theory and its applications to
phase transitions, bifurcations, etc.
Statistical
Mechanics - Bellissard
PHYS 7123 - Principles of nonequilibrium statistical
mechanics,
both classical and quantum. Emphasis is on the dynamics of
fluctuations, their
measurement, and their relationship to transport
properties.
Introduction
to Continuum Physics-Roman Grigoriev
PHYS 4421- The course aims
to redress the balance by offering a modern,
unified introduction to the basic concepts and phenomenology of
continuous
systems.
The course is
intended for physics, biology,
math, engineering and geophysics
advanced undergraduates, starting graduate students. The mathematical
prerequisites are modest and are developed further as the need arises.
Dynamics of
Turbulence - P.K.
Yeung
AE 6080- This is a second-level course on
turbulence, building on the introductory material presented in AE
6012. The emphasis is on fundamental physical understanding, and
on the
use of this knowledge in building
turbulence models. Students are encouraged to explore the
literature on current research developments, including large-scale
numerical computations.
Biophysics - Ron
Fox
PHYS 4802 - The course will cover cellular and subcellular
biophysical mechanisms that are crucial to life. Some mechanisms may
have
applications in nanotechnology. Advanced undergraduates and graduate
students
are welcome. No prior knowledge of the material is required.
Spring 2006
Nonlinear
Dynamics & Chaos - Predrag Cvitanović
PHYS 4267/6268 - graduate/advanced undergraduate level. The
material covered includes differential equations, their stability and
bifurcations, iterated maps, deterministic chaos, fractals, and strange
attractors with applications to physical, chemical, and biological
systems.
Enforced Pre-requisites MATH 2403 OR MATH 2413 OR MATH 24X3 OR MATH
3308. Basic
knowledge of computer programing required.
Spatiotemporal
Dynamics and Pattern Formation
- Roman Grigoriev
PHYS 8803-RG - This advanced graduate level course will
develop
a
general theory of pattern formation in nonequilibrium systems using
linear
stability theory, bifurcations and symmetry analysis. A broad variety
of
physical, chemical, and biological systems will be used as examples.
Knowledge
of partial differential equations (at the level of MATH 4581 or PHYS
6124) is required. The continuum mechanics course PHYS 4421 and
introduction to nonlinear dynamics PHYS 4267, although not
pre-requisites, will provide helpful background.
ChaosBook.org study group:
Chaos, and what to do about it
PHYS 8901-PC -
Jan to Apr 2006, Man, Wed 4:05-5:25pm in Howey W505
Nonlinear
Journal
Club
PHYS 8901-PC -
Jan to May 2006, 3 to 7 Special Problems credits
Fall 2005
Continuum mechanics
- Roman Grigoriev
PHYS 4421/8803 - for graduates and advanced undergrads from
physics, engineering, math, atmospheric sciences.
Statistical Mechanics II - Kurt
Wiesenfeld
PHYS 7123 - Principles of nonequilibrium statistical
mechanics,
both classical and quantum. Emphasis is on the dynamics of
fluctuations, their
measurement, and their relationship to transport properties.
Biophysics - Ron
Fox
PHYS 4251 - The course will cover cellular and subcellular
biophysical mechanisms that are crucial to life. Some mechanisms may
have
applications in nanotechnology. Advanced undergraduates and graduate
students
are welcome. No prior knowledge of the material is required.
Fall 2004
TR 09:35-10:55, Howey Physics S106
Statistical
Mechanics II - Kurt
Wiesenfeld
PHYS 7123 - Principles of nonequilibrium statistical
mechanics,
both classical and quantum. Emphasis is on the dynamics of
fluctuations, their
measurement, and their relationship to transport properties.
TR 08:00-9:55, Howey Physics S204
Biophysics
- Ron
Fox
PHYS 4802 - The course will cover cellular and subcellular
biophysical mechanisms that are crucial to life. Some mechanisms may
have
applications in nanotechnology. Advanced undergraduates and graduate
students
are welcome. No prior knowledge of the material is required.
MWF
11:45-12:35
PHYSICS
8803C - This
course is a broad introduction to quantum information theory and
quantum communication theory. Topics to be covered include:
closed and
open quantum
system dynamics, mathematical
formulation of a quantum channel, the complete positivity constraint on
quantum channels, measurements in closed and
open quantum systems, the
classical channel capacity of a quantum
channel, the quantum state channel capacity of a quantum channel,
quantum state compression,
quantum state
coding theory, and open questions in Quantum Information Theory.
The
discussion of each topic will begin with an overview of the classical
concept, and proceed to
the quantum version.
MWF 11:00-11:55,
Skiles MATH 240
Numerical
Methods: Partial Differential Equations - Liu
MATH 6640 - The goal of this course is to cover the
fundamental
issues of numerical solution of DE's, with examples from different
physical
contexts. Our intent is to examine various methods of numerical
solution,
investigate their strengths and limitations, and understand the
approximations
and errors involved. A major part of the course will be final projects
in which
each student conducts a computational investigation on a problem of
special
interest to the student. The course is divided roughly into four parts:
(1)
Ordinary Differential Equations (2) Finite Difference Methods (3)
Finite
Element Methods (4) Pseudospectral Methods
TR 01:35-02:55, Instr. Center 217
Introduction
to Fluid Mechanics - Neitzel
ME 6601 - The fundamentals of fluid mechanics. Derivation of
the governing equations of motion. An introduction to viscous,
inviscid,
turbulent, and boundary-layer flows.
TR 3:25 - 4:55, Skiles (TBA)
Modeling
and Dynamics
(i.e., Introduction to Dynamical Systems for Life Sciences) - Mason Porter
MATH 6705 -
An introduction to dynamical systems with a focus on the
life sciences, specifically aimed towards people with
appropriate majors related to biology or chemistry. It requires only
calculus I and II, so we'll be doing ODE's from a dynamical systems
perspective. The problems will come from the life sciences, so we'll be
looking at things like predator-prey models, disease dynamics,
excitable
media. Towards the end of the class, we'll get into things like
synchronization, reaction-diffusion systems, and perhaps even a bit of
biology systems on networks.
Note: Credit only
for individuals in the biological sciences
MWF 2:00-2:55, Skiles MATH 246
Dynamics
and Bifurcations I - Chow
MATH 4541 - A broad introduction to the local and global
behavior of nonlinear dynamical systems arising from maps and ordinary
differential equations.
MWF 1:05 -
1:55, Skiles MATH 271
MATH 6307 -
Graduate level ODE: This sequence develops the qualitative theory
for systems of
ordinary differential equations. Topics include stability,
Lyapunov
functions,
Floquet theory, attractors,
invariant
manifolds, bifurcation theory, and normal forms.
MWF 2:05 -
2:55, Skiles MATH 270
MATH 6514 -
Applied mathematics techniques to solve real-world problems.
Topics include mathematical modeling, asymptotic analysis,
differential equations and
scientific computation.
MWF 12:05 -
22:55, Skiles MATH 256
MATH 6584 -
Special Functions of Higher Mathematics
Gamma function; exponential function; orthogonal
polynomials; Bessel, Legendre, and hypergeometric
functions;
application to singular ordinary differential equations; and
separation of variables for partial differential
equations.
Spring 2004
TR 12:05-1:25, Howey Physics S104
Continuum mechanics
- Predrag Cvitanovic'
PHYS 4421
- for grads and advanced undergrads from physics, engineering, math,
atmospheric sciences.
Text: Benny Lautrup,
Continuum
Physics, Exotic and everyday Phenomena in the Macroscopic World,
the only modern advanced undergraduate
textbook introduction into the subject.
TR 01:35-2:55, Howey Physics S106
Quantum Info and Computation
- Jean Bellissard
MATH 4803 BDG
- Only for College of Science. Graduate students can register without prerequisie override.
Undergraduate students must register for MATH4803BDU, CRN24286.
TR 01:35-2:55, Howey Physics S106
Quantum Info and Computation
- Jean Bellissard
MATH 4803 BDU
- Only DMTH MATH majors. Graduate students must register for MATH4803BDG, CRN24293.
Taught jointly with CS4803QIC, CRN 21345, and PHYS 4803A, CRN 24576.
MWF 01:05-01:55, Skiles (TBA)
Intro to Mathematical Modeling
- Mason Porter
MATH 4803 POR
- Undergraduate and graduate students wanted. Prerequisites: Calculus I - IV and a willingness to work hard.
The purpose of this course is to introduce undergraduates in math, science and engineering (and interested graduate students)
to the rudiments of mathematical modeling with a case study approach. Continuous and discrete systems and applications from numerous
scientific disciplines will be considered.
MW 03:05-4:25, Skiles 108A
Computational Homology
- Konstantin Mischaikow
MATH 4432 A
- Enforced pre-requisite: MATH 4317
Course aimed at a broad audience including students from mathematics, physics,
computer science and engineering.
Prerequisites are minimal, a solid understanding of linear algebra and continuous functions.
MWF 11:05 - 11:55, Cherry Emerson 204
Theoretical Ecology
- Christopher Klausmeier
BIOL 4423/8803B
- Theoretical foundations of ecology, from the population to the community and ecosystem levels.
Topics: Single-species models; Two-Species Interactions; Community Modules; Food Webs; Biodiversity Effects;
Spatial Processes; Non-equlibrium Processes; Ecological Stoichiometry; Allometry; Ecosystem Links; Evolutionary Ecology;
Community Assembly.
From Professor Klausmeier: If any students and/or postdocs are interested in applying nonlinear dynamics to ecological
problems, this class will provide the necessary background. I would love to see
some physicists show up. . .no previous biology needed.
MWF 09:05 - 09:55, Howey Physics S204
Thermodynamics
- Ronald Fox
PHYS 3141 Enforced Pre-requisites PHYS 2212 or PHYS 2232 or PHYS 2123 AND
MATH 2403 or MATH 2413 or MATH 24X3 or MATH 3308.
MWF 09:05 - 09:55, Howey Physics S106
Nonlinear Dynamics & Chaos
- Kurt Wiesenfeld
PHYS 4267 Enforced Pre-requisites MATH 2403 OR MATH 2413 OR MATH 24X3 OR MATH 3308. Basic knowledge of computer programing required.
MWF 12:05 - 12:55, Howey Physics S104
Classical Mechanics II
- Ray Flannery
PHYS 6102 Enforced Pre-requisites PHYS 6101
Fall 2003
Spring 2003
-
Introduction to nonlinear dynamics and chaos
- Kurt Wiesenfeld
phys 4267 -
a service graduate/advanced undergraduate course
course with at least 50% students outside physics.
(Should be cross-listed in other Schools)
-
Classical Mechanics II
- Raymond Flannery
phys 6102
- fast track grads
-
Spatiotemporal Dynamics and Pattern Formation
-
Roman Grigoriev
phys 7224 - advanced graduate:
this year the emphasis is on
patterns, extended systems and spatiotemporal chaos.
-
Numerical Methods for Dynamical Systems
- TBA
math 6647
- advanced graduate:
Approximation of the dynamical structure of a differential equation and preservation of dynamical structure under discretization.
-
Quantum Information and Quantum Computing
- Jean Bellissard
PHYS 4803 A LPA 28057 Special Topics 3 0 20 TR 0135-0255pm - Place TBA
Secondary Title: Quantum Info and Computation
Enforced Pre-requisite(s): MATH 2401
Prerequisites MATH2401 and familiarity with matrix calculus
and finite dimensional vector spaces.
Taught jointly with Math4803BDU and CS4803F
Theoretical Chemisty of Polymers
- Rigoberto Hernandez
chem 6755
- advanced graduate: Equilibrum and nonequilibrium
theories for polymers (crosslisted with CHE, MSE and TFE 6755).
Field theory
-
Predrag Cvitanovic'
phys 7147 - Quantum Field Theory,
introduction to quantum field theory: path integrals
Feynman diagrams,
diagrammatic purtubation theory,
variational methods, renormalization theory.
Fall 2002
TR 12:00am-01:00pm, Howey TBA:
(R)evolution of physics.
- David
Finkelstein
The main evolutionary leaps of 20th century
physics: space-time theory, quantum theory, and gauge theory, at the
rudimentary level
phys 2001 - Text: Smolin, Three roads to quantum gravity.
Basic Books, 2001.
TR 09:35-10:55, Howey N209:
Continuum mechanics
- Predrag Cvitanovic'
phys 4421
- for grads and advanced undergrads from physics, engineering, math,
geophysics.
Text: Benny Lautrup,
Continuum
Physics, Exotic and everyday Phenomena in the Macroscopic World,
the only modern advanced undergraduate
textbook introduction into the subject.
MWF 10:05-10:55, Howey L5:
Classical Mechanics I
- Ian Gatland
phys 6101
- introductory graduate course
TR 12:05-1:25, 108B Skiles:
Modeling and Dynamics
-
L.A. Bunimovich
TR 02:00pm-03:00pm , Van Leer C457
Quantitative Electrophysiology
- Robert Butera
ECE6787/BMED6787
- a quantitative description of the dynamics of electrically excitable
cells (mostly neurons, also cardiac and muscle), both
measurement and modeling.
- Non-ECE students should register for
the BMED listing.
TR 08:05-09:25am, Howey TBA:
Statistical mechanics II: Stochastic processes and non-equilibrium
statistical mechanics
- Ron Fox
phys 7123 - advanced graduate:
this year the emphasis is on stochastic and non-equilibrium processes.
TR 01:00pm-02:00, Howey TBA:
Physics of philosophy
- David
Finkelstein
phys 8802
- a physicist looks at the questions of
philosophers; the inverse of the philosophy of physics.
TR 06:00pm-09:00, Howey TBA:
Quantum relativity workshop
- David
Finkelstein
phys 8803
- ongoing research into post-quantum
physics, currently exploring a new concept of elementary quantum processes
Summer 2002
Spring 2002
-
Introduction
to nonlinear dynamics and chaos
- Roman Grigoriev
phys 4267 -
a service graduate/advanced undergraduate course
course with at least 50% students outside physics.
(Should be cross-listed in other Schools)
-
Nonlinear dynamics: Quantum chaos
-
Predrag Cvitanovic
phys 7224 - advanced graduate:
this year the emphasis is on semiclassical methods in quantum mechanics and
quantum chaos. It will be easier going for those who have taken
Fall 2001 phys 7123.
Text: Quantum dynamics chapters of
Classical
and quantum chaos
webbook by P. Cvitanovic' et al.
-
Group Theory and Quantum Mechanics
-
John Wood
PHYS 7143
- graduate:
Foundations of group representation theory with applications in atomic, molecular, nuclear, and solid-state physics.
-
Information
Theory
- Professor L.
Bunimovich
- Important in information technologies.
-
Algebraic
Topology
-
Professor Mischaikov
With a computational approach motivated by applications in
image processing, dynamics and numerical analysis.
Fall 2001
MWF 9:05-9:55, 108A Skiles:
Chaotic Dynamics: Operator approach
-
Michael Blank
math 8823 - advanced graduate special topics course,
the emphasis on Perron-Frobenius operators which move
probability distributions.
M. Blank,
visiting from Inst. of Information Transmission Problems, Moscow,
works and publishes with physicists and biologists, so this course is
recommended also for advanced graduate students outside mathematics.
MWF 10:05-10:55, Howey L5:
Classical Mechanics I
- Raymond Flannery
phys 6101
- introductory graduate course
MWF 1:05-1:55, 108A Skiles:
Interacting particle systems
-
Markos A. Katsoulakis
math 8833 - advanced graduate special topics course
on large scale limits on interacting particle systems.
TR 1:35-2:55, 167 Skiles:
Introduction to Numerical Methods for PDEs
- Peter J. Mucha
Mon 2:05-2:55, Howey N110:
Nonlinear Science Seminar
MWF 3:05-3:55, 108A Skiles:
Probability: Trees & networks
-
Russel Lyons
math 8803 - advanced graduate special topics course
on dynamics of networks.
Center for Dynamical Systems and Nonlinear Studies Colloquium
TR 09:35-10:55, Howey L5:
Classical Mechanics II
- Raymond Flannery
phys 6102
- fast track grads
TR 11:05-12:25, Howey S106:
Statistical mechanics II: Chaos, and what to do about it
-
Predrag Cvitanovic
phys 7123 - advanced graduate:
this year the emphasis is on chaotic dynamics, evolution operator
formalism and chaotic dynamics theory of non-equilibrium processes.
Part I of 2 semester sequence, with quantum chaos to be taken up
in phys 7224.
Can be taken in tandem with math 8823.
Text: Classical dynamics chapters of
Classical
and quantum chaos
webbook by P. Cvitanovic' et al.
Tue 12:35-1:25, Skiles 255:
Dynamics Informal Brown Bag Lunch Chat
Nanobiology
- Ronald Fox
phys 4802/8802
- terminology, concepts and mechanisms of biology at the nanometer scale
Spring 2001
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