PH420/5202C (Fall, 2012) Course Information
Course Description:
Through this course students will learn mathematical methods necessary
in physics core courses such as classical mechanics, electromagnetism,
and quantum mechanics. The mathematical methods covered in this course
include complex analysis, linear algebra, vector calculus, series
expansions, ordinary differential equations including special
functions, and partial differential equations. Students successfully
completing this course will develop sufficient mathematical skills
necessary to complete the physics core courses.
In addition to basic mathematical skills, various mathematical
tools such as Maple are intensively used in this
course.
Learning Objectives:
 Differential and integral calculus
 Series expansions including Taylor, Fourier, and Laurent
expansions.
 Complex variables, functions of complex variables, residue
theorem and contour integrals
 Matrices, linear algebra, and eigenvalue problems
 Vector calculus
 Ordinary differential equations, special functions
 Partial differential equations
 Calculus of Variation
Day and Time: 
Tue. & Thu. 11:00APM12:15PM 
Room: 
PH 394 (Del Square) 
Instructor: 
Dr. Ryoichi Kawai 
email: 
kawai@uab.edu 
phone: 
(205) 9343931 
skype^{*}: 
userid = ryoichikawai
* You must send your skype user ID to
the instructor by email in advance or your call will be blocked. 
Office Hour: 
by appointment

Course Website: 
http://kawai.phy.uab.edu/courses/ph420 
Course
Schedule 
Required
Textbook 


Mathematical
Methods in Physical Sciences Mary L. Boas
Wiley; 3 edition (2006)
ISBN13: 9780471198260 

Messages from the Instructor
Maple
Maple 15/16 is used during lecture. If you have an older version of Maple 13/14, you can use it to solve homework problems. If you have even older versions, you are recommended to get a new version. You can purchase a student edition at a discount price through the adoption program.
Homework
Several homework problems will be given every week. Homework must be
turned in electronically by email. Allowed formats are LaTeX
source, LaTeX dvi, Acorbat PDF, Maple Worksheet, Maple Document,
Mathematica Document. (Hand written documents must be scanned in
high resolution (300 DPI) with sufficient contrast and saved in PDF.)
Exams
Three midterm exams and a final comprehensive exam will be given.
Students must take all four exams. Makeup exam is allowed only when
reasonable excuse is presented. You can take only one makeup exam.
Grading
Exams and assignments carry the following maximum possile points.
Midterm exams (15 pts. each), Final exam (30 pts.), Homework and other
assignments (25 pts.). The total maximum possible points is 100. Letter
grades are determined by the rule given in the table. 
Grade 
Total Score 
A 
85 or above 
B 
75 or above 
C 
60 or above 
D^{*} 
50 or above 
F 
Otherwise 
* Only for PH420 students. 
