Physics 7740                 Fall 2017

Mathematical Methods of Physics I.

Frank E. Harris, Professor of Physics

Class meets:       
 
 
 
MW 2:00--3:50, Room 102 JFB   August 23 through December 6.
Occasional classes on Fridays (same room and time). These classses were announced in
the official time schedule and are an integral part of the course. They are NOT optional.
Click here for detailed schedule.
 
Credit:  4 semester hours
 
Instructor: 
 
Frank E. Harris, Professor of Physics.  Office: 204 JFB.  Office phone: 581-8445.
E-mail: harris@physics.utah.edu.  Office hours: after class Mondays or by appointment.
 
Grader: 
 
to be appointed  Office: -----
E-mail: -----@utah.edu.  Office hour: -----.
 
Texts: 
 
Harris, Mathematics for Physical Science and Engineering, (Academic Press, 2014),
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.
 
Computation
Project:
 
Because there is a long gap in the classs schedule this year (caused by the inconvenient scheduling
of an important scientific meeting) each class member will be assigned an individual computation
project to be carried out between October 6 and October 27. Details to be supplied later.
 
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 Wednesday September 27 and Monday
November 13.

FINAL EXAMINATION on Monday, December 11, 1:00-3:00 pm, 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. 
There will probably be ten or eleven sets, due at approximately weekly intervals.
The problem sets will be available ONLY by download from this Web page.  Links to them
will be added (as the problem sets are released) near the bottom of this page (below the tentative
course outline).
 
  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 the text.  The material
          covered will be defined by the lecture presentation and in some 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.
 
              Infinite Series                                                   Chapter 2
       Gamma Function Chapter 9
 Linear Algebra Chapter 4
       Matrix Eigenvalue Problems Chapter 5
 Vector Analysis Chapter 7
 Ordinary Differential Equations Chapter 10
       Series Solutions Chapter 14, Sect. 1
 Vector Spaces Chapter 11
 Fourier Series Chapter 12
 Special Functions Chapter 14
 Partial Differential Equations Chapter 15
 Complex Variable Theory Chapter 17
  Spiegel, Chapters 1-7


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 Wednesday, August 30
 Problem Set 2.Due Friday, September 8
 Problem Set 3.Due Monday, September 18
 Problem Set 4.Due Monday, September 25
 Problem Set 5.Due Friday, October 27
 Problem Set 6.Due Monday, November 7
 Problem Set 7.Due Wednesday, November 15
 Problem Set 8.Due Wednesday, November 22
 Problem Set 9.Due Wednesday, November 29
 Problem Set 10.Due Wednesday, December 6


Supplementary Material
(to be added as needed)
             
  Exam 1 (Fall 2016)
  Exam 1 answers (Fall 2016)
  Exam 1 (Fall 2015)
  Exam 1 answers (Fall 2015)
  Exam 2 (Fall 2016)
  Exam 2 answers (Fall 2016)

Last revised 06 August 2017