Physics 7740                 Fall 2008

Mathematical Methods of Physics I.

Frank E. Harris, Professor of Physics



Class meets:          
 
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.
 
Credit:  4 semester hours
 
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.
 
Grader: 
 
Dr. Suhas Gangadharaiah (office hours not yet scheduled)
E-mail: suhas@physics.utah.edu.
 
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.
 
Texts: 
 
Arfken and Weber, Mathematical Methods for Physicists, 6th ed. (Academic Press, 2005),
Spiegel, Complex Variables  (Schaum's Outline Series, 1995).
 
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.
 
  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.
 
  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.
 
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.
 
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.
 
  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.
 
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. 
  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).
 
Grading: 
 
 
 
 
 
Homework, scaled to a maximum of            100 points
Midterms, at 100 points each200 points
Final Exam200 points
 -------
Maximum possible500 points



Course Outline



                              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.
 
 
              Vectors and Tensors                                                    Chapters 1, 2
 Introduction to Partial Differential Equations Chapter 9
 Ordinary Differential Equations Chapter 9
 Legendre Functions and Spherical Harmonics Chapter 12
 Bessel Functions Chapter 11
 Matrix AlgebraChapter 3
 Eigenvalues and Eigenvectors Chapter 3
 Sturm-Liouville Theory Chapter 10
 Infinite Series Chapter 5
 Introduction to Complex Variable Theory Chapter 6
 Contour Integration Chapter 7
 Angular Momentum Chapters 4, 12, and
     supplementary material


Problem Assignments


     These problem sets are due at the beginning of the class period on the due date.  Late problem
     sets will only be accepted with specific permission of the instructor (which will not normally
     be granted).
 
     Links to problem sets will be activated when they become available.
 
              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


Supplementary Material
 
             
  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
 

Last revised 22 August 2008