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Aug 25, 2010, 4:40:12 PM8/25/10

to GT Chaos Course

Here is what the students in the class wrote about their interests and

what they would like to learn:

TOPICS:

vector analysis (2 students)

Levi-Civita

linear algebra (2 students)

group theory (4 students)

graphical methods

tensor math/analysis (4 students)

bivectors

non-euclidean differential geometry, topology (3 students)

[Laguna suggests Carrol's notes on tensors, ,

http://arxiv.org/abs/gr-qc/9712019, chapters 1, 2, 3]

complex analysis

probability

statistics (for physicists)

[Taboada; Gaussians, multinomials, Poisson]

Fourier series, transforms

ODEs,

[Laguna, Taboada: spherical harmonics, Bessels, orthogonal

polynomials]

PDEs (4 students)

[Laguna: parabolic (Maxwell eq), hyperbolic (Maxwell eq),

elliptic (Poisson eq), Schroedinger]

chaos

integrations, as used in electromagnetism

programing (Mathematica, Matlab, ...)

mechanical engineering applications

fluids

quantum field theory

conformal field theory

GOALS:

Theory

unspecified: (2 students)

astrophysics/accretion disks

gravity/numerical relativity

computational physics (2 students)

quantum optics theorist (1)

condensed matter

graphene, nano-science (2)

nonlinear dynamics (2 students)

Experimental

(unspecified 1 student)

atomic (1)

quantum optics (2)

condensed matter (2)

nano-science (1)

PhD in order to get a job in industry (2 students)

aerospace design

no chemistry, please (1 student)

what they would like to learn:

TOPICS:

vector analysis (2 students)

Levi-Civita

linear algebra (2 students)

group theory (4 students)

graphical methods

tensor math/analysis (4 students)

bivectors

non-euclidean differential geometry, topology (3 students)

[Laguna suggests Carrol's notes on tensors, ,

http://arxiv.org/abs/gr-qc/9712019, chapters 1, 2, 3]

complex analysis

probability

statistics (for physicists)

[Taboada; Gaussians, multinomials, Poisson]

Fourier series, transforms

ODEs,

[Laguna, Taboada: spherical harmonics, Bessels, orthogonal

polynomials]

PDEs (4 students)

[Laguna: parabolic (Maxwell eq), hyperbolic (Maxwell eq),

elliptic (Poisson eq), Schroedinger]

chaos

integrations, as used in electromagnetism

programing (Mathematica, Matlab, ...)

mechanical engineering applications

fluids

quantum field theory

conformal field theory

GOALS:

Theory

unspecified: (2 students)

astrophysics/accretion disks

gravity/numerical relativity

computational physics (2 students)

quantum optics theorist (1)

condensed matter

graphene, nano-science (2)

nonlinear dynamics (2 students)

Experimental

(unspecified 1 student)

atomic (1)

quantum optics (2)

condensed matter (2)

nano-science (1)

PhD in order to get a job in industry (2 students)

aerospace design

no chemistry, please (1 student)

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