Possible
Research Topics
Below is a list of possible subjects for your research project.
You can
propose your own subject as well and check with me whether it is OK. In
parentheses are the sections in Arfken and Weber where you can read a
little bit about the subjects but I expect
that you will use additional references for your research (you can
check wikipedia but do not
use it as a reference; valid references are scientific journals and
books). As soon as
people tell me that they are interested in one of the subjects I will
write their names next to it so that it is clear what subjects are
still available.
- Gauss' Theorem
and its applications (1.11) -
- Stokes' Theorem and its
applications (1.12) - Michelle
Neeley
- Helmholtz's Theorem and
its applications (1.16) - Allison
Reagan
- Pseudotensors. Physical
Examples (2.9) - Andrew Ayres
- Applications of
Eigenvector and Eigenvalue Theory (3.5) - Shengnan Li
- Group Theory I: Discrete
Groups and their applications. (4.7) - Deborah Penchoff
- Group Theory II:
Continuous Groups and their Applications (4.2) - Jessica White
- Taylor's Expansion and its
applications (5.6) - Jacob
Fosso Tande
- Bernouilli
Numbers and their applications (5.9) -
- Conformal Mapping and its
applications (6.8) - Suman
Ganguli
- Method of Steepest
Descent and its applications (7.3) - Xu Wang
- The Gamma function and its
applications (8.1)
- The Beta
Function and its applications (8.5) - Riddhi Dave
- Separation of Variables
and its applications (9.3) -
- Green's Functions and
their applications (9.7 and 10.5) - Erik Olsen
- Hermitian Operators and
their applications (10.2) - Andy
Hicks
- Bessel Functions and
their applications (Chapter 11) - Jen Niedziela
- Legendre Functions and
their applications (Chapter 12) -
- Hermite
Functions and their applications (13.1)
- Laguerre
Functions and their applications (13.2)
- Chebyshev
Functions and their applications (13.3)
- Mathieu Functions and their applications (13.6)
- Applications of Fourier
Series (14.3) - Matt
Hollingsworth
- Fourier
Transforms and their Applications (15.3) - Allyn
Milojevich
- Laplace
Transforms and their Applications (15.8) - Sarina Adhikari
- Convolution
Theorem and its Applications (15.11)
- Lagrangian
Multipliers and their Applications (17.6) - Huijuan Li
- Poisson
Distribution and its Applications (19.4) - Hao Hu
- Gauss' Normal
Distribution and its Applications (19.5) - Gyu Tae Kim
- Finite
Element Methods and its application for solving PDEs. - Haihang
You