Hello Math Majors,
I hope you are doing well both inside and outside of classes this semester. October is the heart of the fall semester, so it can feel like a long month. Every semester passes quickly, so this can make October a little more stressful. Remember, instead of freaking out about something, reach out for help!
Let's discuss getting ready for Priority Registration for the Spring 2022 semester. Priority Registration is the time period every fall and spring semester where every student is given a specific time and date to enroll in classes for the next fall or spring semester. Registration dates or "appointments" are determined randomly by class level as outlined here. Registration dates are posted to MyRed, which happened on Monday, October 4th. At the same time that registration dates are posted, everyone is able to see tentative schedule of classes for the next fall or spring semester. Thus, you can now view a tentative schedule of classes for the Spring 2022 semester.
Since a class schedule is now available, you should have access to all of the tools and information that you need to plan out classes for the Spring 2022 semester. The Degree Audit and the Degree Planner should help you determine the requirements that you have left to complete your degree and which courses it would be best to take next. If you have questions or concerns about particular courses or course prerequisites, you can always review the information on the Undergraduate Catalog. Lastly, the Enrollment Scheduler will help you build a schedule based on the classes that you would like to take for the Spring 2022 semester.
The nice feature of these tools is that they all sync together in various ways. The Degree Audit feeds information into the Degree Planner to help you determine the requirements that you have and have not completed, and the Degree Planner feeds your planned future courses into the Degree Audit to confirm that you are meeting your remaining requirements. The Degree Planner also feeds your planned courses into the Enrollment Scheduler to help you start the process of planning courses for your next semester. Leveraging these programs and how they share information can make choosing and enrolling in classes much easier. The Undergraduate Catalog and our webpage about ACE Courses can also help you fill in any gaps in the information available through the Degree Audit, the Degree Planner, and the Enrollment Scheduler.
Still have questions? This is where I can help in a variety of ways. I can help you navigate the enrollment and degree progress tracking tools, and I can answer questions about courses and policies. I also provide advice about which classes to take depending on your interests and goals.
Please don't hesitate to schedule a meeting with me or to visit me for a virtual drop-in meeting.
Best wishes, Doug
Marta Lewicka, University of Pittsburgh - Games for PDEs
Friday, October 8th at 4:00 pm in 115 Avery Hall
The following approach of finding solutions to a partial differential equation Lu=0, proved to be quite versatile:
(i) develop an asymptotic expansion of a suitable family of averaging operators on u; the operators are parametrized by the radius/epsilon of averaging;
(ii) study the related mean value equation by removing higher order terms in the expansion;
(iii) interpret the mean value equation as the dynamic programming principle of a two-player game incorporating deterministic and stochastic components;
(iv) pass to the limit in the radius of averaging/epsilon, in order to recover solutions to Lu=0 from the values of the game process.
In my talk, I will explain this approach in the following contexts: p-Laplacian; non-local geometric p-Laplacian; Robin boundary conditions; and weighted Laplace-Beltrami operator on a manifold. In each case, finding the appropriate averaging principle and the related game, is the key starting point.
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