Fall 2015 Welcome! This course will introduce you to many of the mathematical tools you need to be an effective physicist. While this will not be an easy class, if you do decide to exert the mental effort to assimilate the material well, I believe it will be rewarding!
Syllabus and Grading Scheme
The rough chronology of the course will be as follows.
The grading scheme in this course will go as follows. Roughly top 1/3 of the class will get A, middle 1/3 B and bottom 1/3 C. I will use plus/minus letter grades, e.g. A+, whenever appropriate. I wish to reward hard work during the semester, so I will give most weight to the homework you turn in.Lecture Notes & Problems
The midterm and final are papers you would write on topics I describe below. (The font size should be 12 pts.) Your writing will be judged firstly by the accuracy, breadth and depth of the content; but also by the clarity of the exposition. Turn in your papers by e-mailing them to me. If you write your paper on MS Word, please convert it to Open Office format before sending it to me. Extra credit will be given if you write your paper in LaTeX; if you do, just e-mail me your TeX file.
Homework (60%): I will assign problem sets from the lecture notes posted here. I recommend starting your homework as soon as possible -- do not wait until the day before it is due to do it!
Note: I will not accept late homework -- just turn in whatever you have done at the time/day it is due.
Final (25%) (Due Wed 16 December, 11:59 pm): Write a 10-20 page introduction to group theory. Your paper should explain the basic axioms that define a group, and may cover questions that include but need not be limited to: What is the Lie algebra of a group? What is a representation of a group? What groups, and which of its representations, are important in physics? What are symmetries, and how are groups related to their description in both classical and quantum physics?
Note added Friday 11 December: The total for the final will be 25 points. You can turn it in until Friday 18 December 11:59 pm, but I will take 3 points off if you turn it in on Thursday 17 Dec and 6 points off on Friday 18 Dec.
Current Grades (Updated 12 December):
I will be teaching from my lecture notes below. The main shortcoming of my lecture notes is that there are no figures - this is why you need to come to class, where I will supply them whenever necessary...
Mathematical Methods Texts
This course does not have a required textbook. However, I encourage you to seek out different ways of looking at the material discussed in class.Other Mathematical Resources
AcknowledgementsWhile developing this course, I have taken inspiration from several of the textbooks listed above. The previous installment of Phys 3033, taught by Prof. John Hiller, can be found here.
DisclaimerThe views and opinions expressed in this page are strictly those of mine (Yi-Zen Chu). The contents of this page have not been reviewed or approved by the University of Minnesota.