Delaware State University
DOVER, DE 19901

Department of Applied Mathematics & Theoretical Physics -- (302) 857-7516 (main), -7517 (fax)

Computational Methods
Phys-655 (19040) : TR, 9:30–10:45 pm, SC.N209
[Topics][Schedule][Assignments][ClassNotes][Welcome]

Instructor: Tristan Hübsch, ETV 103, (302) 857-6603, thubsch@mac.com, thubsch@desu.edu
Office hours: MW, 3:00–6:00 pm, ETV 103
Textbook (required): Gerd Baumann, Mathematica for Theoretical Physics (2nd ed.)

Grading recipe (no make-ups are given, except in cases of proven medical emergency):

Component

Time

Remark

% of Grade

Weekly projects

See in weekly schedule

May overlap with individual contributions to the term-project

50%

Term-project

Incrementally, through semester

Written on a chosen topic

50%

Computational Methods (Phys 655) familiarizes the student with computational algorithms frequently used in the solution of scientific problems, to enable the student to understand and estimate the numerical errors, and to give the student practice in presenting his/hers results through intelligible and clear prescriptions of the scientific background, the methods and results.

“Success = 1% inspiration + 99% perspiration”--T.A. Edison
But, learning is still 100% learning!


Topical schedule:
Introduction to computational methods Applications
• Direct computations – symbolic
• Direct computations – numerical
• Image generation and processing
• Simulation
• Electricity and Magnetism
• Quantum Mechanics
• General Relativity
• Fractals and Recursive Processes

Weekly schedule:

08/30: Introductory Matters
09/04–06: What “Computational Methods” is (and isn’t)?
09/11–13: E&M—Static Potentials
09/18–20: Applications
09/25–27: E&M—Motion and Radiation
10/02–04: Applications [E&M Static Potentials Assignment due]
10/09–11: QM—Simple Potentials in 1 Dimension
10/16–18: Applications [E&M Motion and Radiation Assignment due]
10/23–25: QM—Simple Potentials in 3 Dimensions
10/30–01: Applications [QM Simple 1D Potentials Assignment due]
11/06–08: GR—Tensors
11/13–15: Einstein’s Equations [QM Simple 3D Potentials Assignment due]
11/20: Fractals & Recursion
11/23: Thanksgivings Recess
11/27–29: Renormalizaion Group [Einstein’s Equations Assignment due]
12/04–06: Review


Bi-weekly assignments

Starting in week 09/17–21, on the topic indicated in the weekly schedule, due in two weeks.

All weekly assignments are due by 5:00 pm of the end of the week indicated and should be submitted via e-mail attachments, or alternatively handed in either to the instructor in hand, left in the instructor's mailbox in ETV#116. Late assignments will not be accepted, except in cases of proven emergency.

Collaboration policy

Collaboration -- but not blind copying -- on the weekly assignments is strongly encouraged; students should use this to learn from each other. All assignments are open text and other sources, as indicated in the textbook listing above.

Presentation and organization

While a neat presentation of the Student’s work is not required for full credit, it certainly makes it easier to assess the quality of the work and give the proper credit due. In all cases, include sketches if they might help conveying the approach or the calculations. Where necessary, include all units and symbols such as the measure of an integral, arrow on a vector, vertical bars for the absolute value of a quantity, for the magnitude of a vector or for the determinant of a matrix, etc.

© Tristan Hübsch, 2007


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