PH420/5202C (Fall, 2019) Mathematical Methods for Physics: 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 
Office Hour: 
Wed. 12:301:30pm 
Course Website: 
https://kawai.phy.uab.edu/courses/2019Fall/ph420 

2018 Lecture Notes 
Downlad PDF (14 Mb)

Suggested Textbook 


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

Course Schedule
Score Card (Dec. 15 2019, Final)
Past Exams
2014,
2015,
2016,
2017,
2018
Current Term Exams Solution
Messages from the Instructor
 [08/06] The course web page opens.
Mathematica
The use of Mathetmatica is required in this course. Mathematica 10 is installed on all computers in the classroom. However, it is highly desirable for you to have your own Mathematica on your personal computer. It is free for UAB students. The following web page will explain how to get your own copy of Mathematica: https://www.uab.edu/it/home/component/k2/item/551mathematica. Free online tutorials are also available. See https://www.uab.edu/it/home/component/k2/item/551mathematica.
Homework
Several homework problems will be given every week. Homework must be turned in electronically by email. Allowed formats are Mathematica Notebook(preferred), Maple Worksheet, LaTeX source, Acorbat PDF. Hand written documents must be scanned in high resolution (300 DPI or higher) 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.
Grading
Exams and assignments carry the following maximum possible 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 
* Not for PH520 students. 
