PH420/520 Course Information
PH420-3A Mathematical Methods of Physics I
PH520-3A 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. 4:00PM-5:15PM Room: PH 394 (Del Square) Instructor: Dr. Ryoichi Kawai Dr. Joseph Harrison email: kawai@uab.edu jgharrison@uab.edu phone: (205) 934-3931 (205) 934-1559 Office Hour: Wed. 12:30-1:30pm TU & TH 2:00-3:00 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

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.
Grade Score Grade Score PH420 PH520 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 1-6 Test Feb 06 W Test 1 1-6 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 8-9 Test Feb 27 W Test 2 8-9 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 (4:15PM-6:45PM) 1-10