**Lecturer:**Professor Randall J. Scalise**Meeting time and place:**3:00-4:20pm WF in 155 Fondren Science**Office hours:**WF noon-1:00 PM and by appointment**Contact:**- Call or leave a message at 768-2504, or
- Leave a note in the Physics Department Office - 102 Fondren Science, or
- send me e-mail: <scalise@smu.edu>

**Exam Dates:**Open book, open notes, open Mathematica, closed internet.- Midterm - Wednesday 8 October 2014 in class
- Final - Thursday 11 December 2014, 3:00-6:00 PM

**Mathematica tutorial**PostScript 4 pages, 537511 bytes; PDF 4 pages, 32563 bytes**Grading:**- Homework - 60% (drop lowest)
- Midterm Examination - 20%
- Final Examination - 20%

**Letter grade break points:**91.5 < A < 100 87.5 < A- < 91.5 83.5 < B+ < 87.5 79.0 < B < 83.5 75.0 < B- < 79.0 71.0 < C+ < 75.0 62.5 < C < 71.0 50.0 < D < 62.5 0.0 < F < 50.0

**Texts**There is no course textbook, but any of the following may be useful. They are in the library and you can find them used (any edition) at abebooks.com- Mathematical Methods For Physicists by George B. Arfken and Hans J. Weber

# ISBN-10: 0120598760

# ISBN-13: 978-0120598762 - Mathematical Methods in the Physical Sciences by Mary L. Boas

# ISBN-10: 0471198269

# ISBN-13: 978-0471198260 - Advanced Engineering Mathematics by Erwin Kreyszig

# ISBN-10: 0471488852

# ISBN-13: 978-0471488859 - Advanced Engineering Mathematics by Peter V. O'Neil

# ISBN-10: 0534552080

# ISBN-13: 978-0534552084

- Mathematical Methods For Physicists by George B. Arfken and Hans J. Weber
**Lecture slides**- Fourier Series, Fourier Transform: 01, 02, 03
- Generalized functions,Distributions: 04, 05
- Differential equations: 06, 07
- Green functions (PDF format), Green functions (1/2), Green functions (2/2)
- Nonlinear Simple Pendulum
- Divergence, gradient, curl, laplacian: 09, 10, 11, 12

**Lecture notes**- Dirac Belt Trick
- Knot Theory Rope Trick
- Pages 1 - 10 (PDF format)
- Monte Carlo Methods - guest lecture by Professor Stephen Sekula
- Pages 11 - 20 (PDF format)
- Pages 21 - 29 (PDF format)
- Green functions (PDF format), Green functions (1/2), Green functions (2/2)
- Nonlinear Simple Pendulum
- Pages 30 - 40 (PDF format)
- Pages 41 - 50 (PDF format)
- Pages 51 - 55 (PDF format)
- Pages 56 - 66 (PDF format) Separation of variables 1/6, 2/6, 3/6, 4/6, 5/6, 6/6.
- Vibrating Rectangular Membrane - solutions to the wave equation in 2 dimensions
- 2D Vibrations of a Membrane
- Pages 67 - 77 (PDF format)
- Pages 78 - 88 (PDF format)
- Variational Calculus, 1/2, 2/2, Feynman Lectures: Principle of Least Action
- Complex Numbers; Complex Variables and Functions; Conformal Mapping; Contour Integration and Residues; Laurent Expansion; Laurent Series Examples; Residue Examples; Lecture slides: 1/2, 2/2
- Group Theory: 1/2,2/2
- Matrix Operations

- Breit-Wigner links
**Old midterm exams**4321,7305.**Homework**Due dates are strictly enforced. 50% if late; 0% once the solutions are posted.- homework #1 (PDF format) - due Monday 8 September 2014 at 11:59:59pm

(Mathematica example notebook PDF format, Fourier.nb) - homework #0 (PDF format) - due Monday 15 September 2014 at 11:59:59pm
- homework #2 (PDF format) - due Monday 22 September 2014 at 11:59:59pm
- homework #3 (PDF format) - due Monday 29 September 2014 at 11:59:59pm
- No homework due on Monday 6 October 2014 because of the midterm exam.
- No homework due on Monday 13 October 2014 because of Fall Break.
- homework #4 (PDF format) - due Monday 20 October 2014 at 11:59:59pm pseudocode for Monte Carlo assignment due
- homework #5 (PDF format) - due Monday 27 October 2014 at 11:59:59pm
- homework #6 (PDF format) - due Monday 3 November 2014 at 11:59:59pm
- homework #7 (PDF format) - due Monday 10 November 2014 at 11:59:59pm
- homework #8 (PDF format) - due Monday 17 November 2014 at 11:59:59pm
- homework #9 (PDF format) - due Monday 24 November 2014 at 11:59:59pm
- homework #10 (PDF format) - due Monday 1 December 2014 at 11:59:59pm

You may find the discussion of Olbers' Paradox in chapter 2 of Barbara Ryden's Introduction to Cosmology useful.

Be careful to use "flat" variables. - homework #11 (PDF format) - due Monday 8 December 2014 at 11:59:59pm

- homework #1 (PDF format) - due Monday 8 September 2014 at 11:59:59pm
**Homework Solutions****Disability Accommodations, Religious and Excused Absences****Official University Calendar**- Links:
- Mathematics for Physics by Michael Stone and Paul Goldbart
- Mandelbrot Set Explorer
- Robust Op Amp Realization of Chua's Circuit by Michael Peter Kennedy
- The Chaos Game (Triangle) Mathematica notebook
- The Chaos Game (Square) Mathematica notebook
- Hennon Map Mathematica notebook

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