Text:
``Mathematical Methods for Physicists'', G.B. Arfken and H.J. Weber,
Elsevier, 6th edition.
Other
useful items: You will need a table of functions. For
example, ``Handbook of Mathematical Functions'', M. Ambramovitz
and I.A. Stegun, Dover.
Lectures: Tuesday and Thursday 2:10 PM to 3:25 PM.
Room: Phy 306 Nielsen Building.
Instructor: Prof. Adriana Moreo - Rm 303 South College Building.
Office Hours: Monday 2:15PM to 3:15PM. I also will be available by request.
Phone: 974-2084 (UTK) or 241-1698 (ORNL). E-mail: amoreo@utk.edu
Web Page: http://sces.phys.utk.edu/~moreo/mm12/index.html
HOMEWORK: Due on Tuesday at the beginning of the class following assignment on preceeding Tuesday. The assignments will be listed in the webpage. The homework will be graded and returned to you. Each problem will be graded on a scale from 0 to 10. The homework grade will be normalized at the end of the semester to 30 points. Solutions to all homework problems will be available on the webpage.
MIDTERM EXAMS
There will be two midterm exams administered during class and with a
take home part. Class notes can be used in the exams.
GRADING:
20 points for each midterm exam.
30 points for homework.
10 points for class participation.
20 points for final exam.
|
WEEK |
#per |
Subjects (Tentative) |
Chapter |
|
1st |
1 |
Vectors and Tensors. |
1, 2 |
|
2nd |
2 |
Transformations: Contravariance and Covariance. |
1, 2 |
|
3rd |
2 |
Tensors, cotensors, dual spaces. |
1, 2 |
|
4th |
2 |
Delta functions. |
1 |
|
5th |
2 |
Direct products and tensor contractions. |
1, 2 |
|
6th |
2 |
Metric tensor and pseudotensors. |
2 |
|
7th |
1 |
First Midterm Exam - Tuesday, October 2 |
|
|
8th |
1 |
Lorentz transformations, field strength tensor. |
2 |
|
9th |
2 |
Differential equations – Separation of Variables. |
9 |
|
10th |
2 |
Separation of variables: Cartesian coordinates. |
9 |
|
11th |
2 |
SV: cylindrical – Frobenius method. |
9, 10 |
|
12th |
2 |
SV: spherical – Legendre polynomials |
11 |
|
13th |
1 |
Spherical Harmonics - Second Midterm Exam - Thursday, November 15 |
12 |
|
14th |
1 |
Green Functions. |
9, 10 |
|
15th |
2 |
Integral Transforms: Fourier and Laplace. |
14, 15 |
|
16th |
1 |
Review |
|
Final Exam: Thursday
December 6 from 2:45 PM to 4:45 PM.
Any student who feels s/he
may need an accommodation based on the impact of
a disability
should contact me privately to discuss your specific needs.
Please
contact the Office of Disability Services at 865-974-6087 in
Hoskins
Library to coordinate reasonable accommodations for
students with documented
disabilities.