Scattering Theory 29:172

Mathematical Methods II


Spring 2020

Class Information

Instructor Information

Grading Policy

Possible final grades are A+,A,B,C,D,F. The grade of A+ is for performance that is a full grade above an A. Grades are based on homework scores 15%, hour exam scores 25% x2, and the final exam 35%. Exam dates will be determined by the instructor after consultation with the students. Homework assignments and important announcements will appear on the web version of this syllabus ( Homework solutions, exam solutions, and lecture notes will be posted on the class website here. My lecture notes are normally written during the evening before each lecture and posted on the morning of my lecture. I do not proofread the notes so be warned that they may have errors. If you do not understand something from the posted lecture notes, check with me after before or after class. I will try to correct errors as I go so expect changes in the latter parts of the notes.

General Information

This is the second half of a two semester course on mathematical methods in physics. The purpose of this course is to expose students to the type of mathematics that is used in intermediate and advanced physics classes. I plan to teach the material as a mathematics course. Deductive reasoning is an important part of physics research, and a complete development of mathematical methods, including proofs, helps develop deductive reasoning skills. I also believe that a careful treatment of the mathematics increases a student's confidence in the methods, and provides the student with the skill to critically apply these methods and the proper background to apply new methods. I will also discuss examples and assign problems that illustrate the appliaction of these methods to physics problems.

The course has two texts. The primary text is by Philippe Dennery and Andre Krzywicki. It is an excellent book and it is available in an inexpensive Dover edition. The primary text shares my point of view about how to approach the subject of teaching mathematical methods. It has some gaps and does not have any exercises. The second is an excellent reference on group theory for physicists, which is not covered in the primary textbook. For this semester I plan to follow the organization of the primary text with additional lectures on group theory.

In addition to these texts there are a number of excellent references on specific areas of mathematics that are used in physics. The references listed below go deeper in many of the subjects that I will cover in this class and cover some relevant areas of mathematics that will not be covered in this class; I have chosen them because they are the books that I have personally found to be useful both as a student and researcher.

Homework Assignments and Calendar

College Information