Description: A comprehensive, fast-paced introduction to the conceptual and mathematical foundations of modern theoretical physics that starts from the very beginning of the subject, with an integrated, first-principles approach to its five main areas: analytical dynamics, statistical mechanics, relativity, fields, and quantum theory. Examples will be drawn from many areas of physics, including Newtonian mechanics, electromagnetism, particle physics, general relativity, and quantum information. In-class discussions will frequently address the history and philosophy of physics, as well as the conceptual implications of our modern physical theories for making sense of the world around us.

Course Notes: The course is intended for students from a variety of backgrounds, including those who are considering pursuing advanced study of physics in the concentration as well as those who are unsure. The course is also meant for undergraduate and graduate students in other fields of study—such as pure or applied math, astronomy, biology, chemistry, computer science, history, and philosophy—who are interested in developing a better understanding of the modern foundations of theoretical physics either to serve the needs of their own academic work or as a first step toward switching their area of study to physics. Cooperation and diversity strengthen our academic community, so the course prioritizes collaboration and will aim to provide a welcoming and inclusive environment for students with diverse identities and backgrounds. The instructor will help students form study groups as needed.

Recommended Prep: The course assumes a knowledge of single-variable differential and integral calculus, as well as a high comfort level with abstract concepts, but does not assume previous coursework in physics. The course is therefore appropriate both for students who have taken the Physics 15/16 sequence as well as those who have not. The course will cover relevant topics from undergraduate physics, vector calculus, linear algebra, complex analysis, and other areas of mathematics as needed, so a familiarity with these subjects, while helpful, is not required.