Michael Holst  
https://ccom.ucsd.edu/~mholst/ 
Distinguished Professor of Mathematics and Physics UC San Diego 


Math 210B (Mathematical Methods in Physics and Engineering II)
Instructor: Prof. Michael Holst (5739 AP&M, mholst@math.ucsd.edu) Term: Winter 2016 Lecture: 1:00p1:50p MWF, 7421 AP&M Office Hours: 2:00p2:50p M, 5739 AP&M Class webpage: http://ccom.ucsd.edu/~mholst/teaching/ucsd/210b_w16/ Textbooks/References:
Note Regarding the Three Editions of the DebnathMikusinski Book: As you have probably discovered, there are three editions of the main book (Debnath/Mikusinski) we are using. Some of you may have found an inexpensive copy of the first edition, and I am sure some of you will buy the third edition (its seems the second edition is now hard to find). Let me assure you that you can use any of the three editions; I have the first and third editions. Here is a quick summary of the differences in the three editions:
In order to allow you to use any of the three editions, we need to take care of two things:
COURSE DESCRIPTION: The following is a brief description of the course. Note that the UCSD catalog currently has a very dated description of this course that was written a couple of decades ago. Our goal for the course remain the same as for the original course: provide graduate researchers in applied mathematics, physics, science, and engineering with a more sophisticated and powerful set of mathematical tools for performing their research. However, we will update some of the topics to reflect changes in the mathematical tools needed for modern science and engineering research; obvious examples being the growing importance of simulation algorithms over the last two decades, and the more recent emergence of data science techniques in all areas of science and engineering research. The prerequisites for the course remain the same as for the older description of the course. 210B. Mathematical Methods in Physics and Engineering (4) Prerequisites: Math 210A or consent of instructor. PLANNED TOPICS FOR 210B (WINTER 2016):
PLANNED TOPICS FOR 210C (SPRING 2016):
GRADES, HOMEWORKS, EXAMS, AND IMPORTANT DATES: Course information, such as the planned lecture topics for the week, any homework assignments, and so forth, will be maintained on this class webpage. Note that I sometimes make minor changes to both the lectures and homework assignments as the quarter progresses, based on how much I am able to cover in the lectures, and which directions we go based partially on the interests of the students. Therefore, CHECK THE WEBPAGE FREQUENTLY. The course will be graded on attending most of the lectures, doing some homework assignments, and a final "take home" examination, according to the following guidelines:
The "participation in class" part of the course is that I simply want you to try to come to most of the lectures; that will give you full marks on that part of the grade. (I will not actually take attendence; you are all adults.) The "homeworks" will be based on the lectures, and will just give you the opportunity to use some of the tools we go over in the lecture. They will not be particularly timeconsuming; they are for your benefit. Similar to the participation metric, if you make a good attempt on the homework then I will give you full marks. (I do not plan to formally grade the homeworks, but will try to give you feedback if you feel you need it.) The final will be a "take home" exam, which will simply be some problems from the list of homework problems (that you may have already worked on during the quarter). I know some people made travel plans right after the final exam period, so I will post this list of "take home final exam" problems to the class website by the middle of the 10th week, so that you have plenty of time to finish the take home exam by the time of the final. In any case, please turn in the take home exam to me before the end of finals week. During the actual scheduled time of the final exam for 210B (11:30a2:30p, Friday 3/18/16), I will be in my office and can answer any lastminute questions about problems on the take home final. (I will also have some coffee available for anyone who comes by...) TAKE HOME EXAM (Posted 05/04/16): This quarter the takehome final exam in 210B consists of working out a total of eight of the assigned homework problems that were listed above as HW15. You are completely free to select your eight problems from the list of problems I assigned in the Homeworks, EXCEPT that you must choose two from each of HW13 (six of the eight problems), and two from HW45. That way you will be challenged to learn a little bit about each of the major sections of the material that we covered this quarter. HW4 are problems on quantum mechanics (Chapter 7), HW5 are problems on wavelets (Chapter 8, only in the third edition). I posted HW5 those people more interested in learning about wavelets rather than quantum mechanics. The final two problems for the final can be taken from either HW4 or HW5, or both (one from each homework if you like), so that you can pursue your own interests a bit. Here are some important dates:
