Mathematical Methods of Physics I.
Frank E. Harris, Professor of Physics
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Class meets:
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MW 3:50-5:50, Room B-1 JFB.
August 25 through December 10. Occasional classes on Fridays (same room and time). Click here for detailed schedule. | ||||||||||
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| Credit: | 4 semester hours | ||||||||||
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Instructor:   |
Frank E. Harris, Professor of Physics. Office: 303 JFB. Office
phone: 581-8445. E-mail: harris@physics.utah.edu. Office hours: after class or by appointment. | ||||||||||
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Grader:   |
Dr. Suhas Gangadharaiah (office hours not yet scheduled) E-mail: suhas@physics.utah.edu. |   | |||||||||
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Notice:                         |
The University Academic Advising Committee (UAAC) has
requested that the following information be included in this syllabus: 1.) There is no substitute day for the Fall semester. 2.) With the drop date being pushed back to ten calendar days into the semester, there is no longer a period after the drop date when students can withdraw from a class without incurring full tuition penalties. Important dates: Last day to drop (delete) classes: Wednesday, September 3. Last day to add classes: Monday, September 8. Last day to withdraw from classes: Friday, October 24. This means: 1.) Students can drop classes by phone or web through Wednesday, September 3 and the classes will not appear on their transcripts. 2.) Students can withdraw from classes by phone or web after September 3 (but will be held responsible for tuition) through Friday, October 24. A "W" will appear on their transcript for these courses. | ||||||||||
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Texts:   |
Arfken and Weber, Mathematical Methods for Physicists, 6th ed.
(Academic Press, 2005), Spiegel, Complex Variables (Schaum's Outline Series, 1995). | ||||||||||
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Computation:         |
Each student must have a computer account that permits access
to the Physics Web pages and
to programs such as Fortran or C and Maple or Mathematica. Physics majors (grad or undergrad) should arrange an account through normal departmental procedures if they have not already done so. Students not qualifying in other ways for a suitable computer account will be provided access through a temporary account associated with this course and which will terminate at its conclusion. | ||||||||||
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All students will be asked to register their e-mail addresses with the
instructor and will be assumed
to be informed of all course-related information distributed by e-mail. Note also that the problem assignments will be available only via the Web. | |||||||||||
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All students are reminded that University computer accounts are
for instructional and research use,
and their use for personal purposes should not be excessive or abusive. | ||||||||||
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| Prerequisites:           |
The officially recommended prerequisites are Math 2210, 2250, 3150, and
3160. Many students who enroll in this course will not have been previously at the University of Utah; the intent of the prerequisites is to indicate the value of some previous experience with differential equations, matrix algebra, and complex variable theory. These topics will be treated in this course in a way that does not presuppose previous knowledge, but students with a background lacking in too many of these areas may find the course rather demanding. | ||||||||||
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Examinations:   |
Midterms in the regular classroom at the class hour on Monday
October 6 and Wednesday November 19.
FINAL EXAMINATION on Wednesday, December 17, 3:30-5:30, in the regular classroom. | ||||||||||
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At all examinations, you may use the two course texts, any other materials
that are in YOUR OWN
handwriting (and not that of any other person), and any materials handed out by the instructor or made available through this Web page. No other materials are permitted (thus CALCULATORS, COMPUTERS, other texts, and all mathematical tables and handbooks are forbidden). You may assume that all problem sets that have been turned in will be returned in time to be used at the next examination. | ||||||||||
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Homework:   |
Weekly problem sets will be required and will count toward grades.
The problem sets will be available ONLY by download from this Web page. | ||||||||||
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Students may work together on the problem assignments, but each must turn
in solutions written
entirely in his/her own handwriting (except for computer-generated graphs or tables, which must be totally individual work by the submitting student). | ||||||||||
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| Grading:           |
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Course Outline
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The chapter numbers are guides to
the location of the topics in Arfken and Weber. The material
covered will be defined by the lecture presentation and in most cases will not include the entire chapter(s) referenced. It should not be concluded that each topic will be treated for an equal amount of class time.    
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| Problem Set 1. | Due Monday, September 8 | |
|   | Problem Set 2. | Due Monday, September 15 |
|   | Problem Set 3. | Due Monday, September 22 |
|   | Problem Set 4. | Due Wednesday, October 1 |
|   | Problem Set 5. | Due Wednesday, October 8 |
|   | Problem Set 6. | Due Wednesday, October 22 |
|   | Problem Set 7. | Due Monday, October 27 |
|   | Problem Set 8. | Due Wednesday, November 5 |
|   | Problem Set 9. | Due Wednesday, November 12 |
|   | Problem Set 10. | Due Wednesday, November 26 |
|   | Problem Set 11. | Due Wednesday, December 3 |
|   | Problem Set 12. | Due Wednesday, December 10 |
|   | Maple--Read Me First |
|   | Maple--Introduction |
|   | Maple--Derivatives, Integrals, etc. |
|   | Maple--Linear Algebra |
|   | Maple--Easier Eigenvalue Computations |
|   | Orthogonal Expansions |
|   | Gram-Schmidt Procedures |
|   | Gram-Schmidt Maple Code |
|   | Supplementary Material--Bessel Functions |
|   | Rotations and Angular Momentum |
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Last revised 22 August 2008