(x-hour) F 5:30–6:20
There are no formal prerequisites, but students are expected to engage with the material at a graduate level. We will use elements of linear algebra, functional analysis, probability theory, geometry, and scientific computing. Students must be willing to expand their knowledge in these and other areas of mathematics as needed. Students must also be willing to conduct simple numerical experiments in their programming language of choice. Advanced undergraduates may be allowed with permission of the instructor.
Students will become familiar with a variety of methods and computational techniques for dynamical systems and quantum information. They will develop experience by reviewing relevant literature and performing numerical experiments.
Expectations and Grading
Students will be asked to actively participate in classroom discussions about the material in the lectures (1/3 course grade). There will also be occasional short computational assignments (1/3 course grade). At the end of the term, students will make a presentation on a literature review or a computational project related to the material covered in class (1/3 course grade).
The Academic Honor Principle is an essential tenet of the Dartmouth community. Collaboration is strongly encouraged in this course. Ultimately, however, all assignments submitted must represent your own understanding of the material.
Students are expected to attend class in person unless directed otherwise by current College policy, or they have made alternative arrangements due to, e.g., illness, medical reasons, or the need to isolate due to COVID-19. For the health and safety of our class community, please: do not attend class when you are sick, nor when you have been instructed by Student Health Services to stay home. Please contact me to discuss how to best catch up on any course material that you miss.
Students may wish to take part in religious observances that occur during the academic term. If you have a religious observance that conflicts with your participation in the course, please notify me well in advance to discuss appropriate accommodations.
Student Accessibility and Accommodations
Students requesting disability-related accommodations and services for this course are required to register with Student Accessibility Services (SAS; Getting Started with SAS webpage; email@example.com"; 1-603-646-9900), and to request that an accommodation email be sent to me in advance of the need for an accommodation. Then, students should schedule a follow-up meeting with me to determine relevant details such as what role SAS or its Testing Center may play in accommodation implementation. This process works best for everyone when completed as early in the term as possible. If students have questions about whether they are eligible for accommodations or have concerns about the implementation of their accommodations, they should contact the SAS office. All inquiries and discussions will remain confidential.
Diversity, Equity, and Inclusion
I strongly support the view that the best outcomes of science occur when diverse and inclusive groups work together. As such, I strongly believe that diversity, equity, and inclusion are not only ethical, but play an essential role in the advancement and enjoyment of science and in maximizing its potential to address humanity's challenges. My goal as an instructor and researcher is to create a welcoming learning environment that supports the perspectives of individuals from a diverse range of backgrounds and identities, including ability, class, ethnicity, gender, race, religion, and sexuality. If you experience any issues or concerns (including on matters external to the class), please feel free to reach out to me either in person or anonymously. Students are also encouraged to contact the Graduate Program Committee (see about diversity and inclusion matters. See here for the DEI statement of the mathematics graduate program at Dartmouth.)