Mathematical Methods of Physics I, GaTech PHYS-6124 Fall 2010

[predrag]

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)