I ask for help from the VIPEr community again. I have naively agreed to teach a special topics group theory course to two of our departments BS/MS degree students. It is an independant study course that is supposed to cover group theory more indepth than what they would have recieved in their BS coursework.
I am looking for suggestions on what I should cover in this course(keeping in mind that it will be mostly independant study). I have never taught a course on group theory and only have time to cover the basics in our undergraduate inorganic course. How much depth should I give them being BS/MS students.
I am also looking for suggestions on books other than Cotton's book. I will be pulling some material from there but am looking for other options.
I thank you all in advance for your help in putting together thoughts for this course.
Nick
I taught a special topics course on Advanced Group theory about 7 or 8 years ago. I used Vincent "Moleculary symmetry and Group theory," 2nd ed, and Carter "Molecular symmetry and Group Theory" as texts, but mostly taught the course as student presentations rather than lecture. I only had 4 students. Vincent is more of a self study course, and there were some aspects of Carter I really liked with others I didn't as much. I also like both Kettle, and DeKock and Gray for their readable treatments.
For me, course content focused on MO theory, deriving character tables, etc. We did a bit of vibrational spectroscopy at the end. We mostly just followed the presentation in Carter, but students brought in their own external sources/examples.
Nick,
The first part of my Advanced Inorganic course (following a sophomore level Inorganic course that covers a lot of what you describe as "basic group theory") is taught directly from "Molecular Symmetry and Group Theory" by Carter. I love, love, love this book. And the students do, too! I have had many students go off to grad school and comment that it is far more understandable to them than Cotton or any of the other advanced texts. We definitely cover the chapters in Carter on the basic tools of group theory, then move on to vibrational spectroscopy, and then spend a lot of time on MO theory both main groups and TM complexes. Some years I do electronic spectroscopy and Tanabe Sugano diagrams and some years I don't.
Although I have never taught it as an independent study, I think that Carter's book could easily be used for this purpose.
Harris and Bertolucci is out of print but still available (especially for two students). Great applied text!