PH420/520 Course Information
PH4203A Mathematical Methods of Physics I
PH5203A Introduction to Methods in Theoretical Physics I
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.
Prerequisites:
Permission of instructor
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
Day and Time: 
Mon. & Wed. 4:00PM5:15PM 
Room: 
PH 394 (Del Square) 
Instructor: 
Dr. Ryoichi Kawai 
Dr. Joseph Harrison 
email: 
kawai@uab.edu 
jgharrison@uab.edu 
phone: 
(205) 9343931 
(205) 9341559 
Office Hour: 
Wed. 12:301:30pm 
TU & TH 2:003:00 pm 
Course Website: 
http://kawai.phy.uab.edu/courses/ph420 
Required Textbook

Basic Training in Mathematics  A Fitness Program for Science Students
R. Shankar
Springer, 1995
ISBN: 0306450364(paperback), 0306450356(hardcover)

Messages from the Instructor
Homework Assignments
Grading
Course grades will be determined based on four midterm exams (10% each), comprehensive final exam (30%), and homework (30%). A general guideline of the letter grades is given in Table. The borderline may be adjusted depending on the difficulty of exams.
PH420  PH520 
Grade  Score  Grade  Score 
A  85 or above  A  85 or above 
B  75 or above  B  75 or above 
C  60 or above  C  60 or above 
D  50 or above   
F  Below 50  F  Below 60 
Course Schedule
Lecture No 
Date 
Day 
Topics 
Chapter 
Instructor 
1 
Jan 07 
M 
Differential Calculus 
1 
Kawai 
2 
Jan 09 
W 
Integral Calculus 
2 
3 
Jan 14 
M 
Calculus of Many Variables 
3 
4 
Jan 16 
W 
Series Expansion 
4 
No Class 
Jan 21 
M 
MLK Holiday 

5 
Jan 23 
W 
Complex Numbers 
5 
6 
Jan 28 
M 
Functions of Complex Variables I 
6 
7 
Jan 30 
W 
Functions of Complex Variables II 
6 
8 
Feb 04 
M 
Problem Solving 
16 
Test 
Feb 06 
W 
Test 1 
16 
9 
Feb 11 
M 
Matrices and Determinant 
8 
10 
Feb 13 
W 
Linear Vector Space I 
9 
11 
Feb 18 
M 
Linear Vector Space II 
9 
12 
Feb 20 
W 
Linear Vector Space III 
9 
13 
Feb 25 
M 
Problem Solving 
89 
Test 
Feb 27 
W 
Test 2 
89 
14 
Mar 03 
M 
Vector Calculus I 
7 
Harrison 
15 
Mar 05 
W 
Vector Calculus II 
7 
No Class 
Mar 10 
M 
Spring Break 

Mar 12 
W 
16 
Mar 17 
M 
Vector Calculus III 
7 
17 
Mar 19 
W 
Vector Calculus IV 
7 
18 
Mar 24 
M 
Vector Calculus V 
7 
Test 
Mar 26 
W 
Test 3 
7 
19 
Mar 31 
M 
Ordinary Differential Equations (ODE I) 
10 
20 
Apr 02 
W 
ODE II 
10 
21 
Apr 07 
M 
ODE III 
10 
22 
Apr 09 
W 
Partial Differential Equations (PDE I) 
10 
23 
Apr 14 
M 
PDE II 
10 
24 
Apr 16 
W 
PDE III 
10 
Test 
Apr 21 
M 
Test 4 
10 
25 
Apr 23 
W 
Review 
7,10 
Test 
Apr 28 
M 
Final Comprehensive Exam (4:15PM6:45PM) 
110 

