Introduction to Theoretical Physics
PHYSICS 19
Subject & Catalog Number
Course Information
Description
Physics 19 is a comprehensive introduction to the foundations of theoretical physics, with a first-principles approach to its five main areas: analytical mechanics, thermodynamics, fields, relativity, and quantum theory.
The course is aimed primarily at students who are considering pursuing advanced study of physics in the concentration, as an option alongside Physics 15A and Physics 16. (Most physics concentrators start by taking either Physics 15A, 16, or 19.) The course is also open to undergraduate and graduate students in other fields of study—such as math, philosophy, astronomy, biology, chemistry, computer science, and engineering—who are interested in developing a better understanding of physics either to serve the needs of their own academic work or as a first step toward switching their area of study to physics.
The purpose of the course is to present the foundations of modern theoretical physics in a welcoming setting for students from a variety of backgrounds. The course is intended to present a clear, faithful picture of what theoretical physics looks like. We will derive nearly everything from scratch in as self-contained a manner as possible—with occasional exceptions for special cutting-edge examples. We will also introduce all the necessary mathematics along the way.
Specific topics will include Newtonian mechanics, chaos, perturbation theory, orbital mechanics, the Lagrangian and Hamiltonian formulations, the connection between symmetries and conservation laws, statistical physics and thermodynamics, electromagnetism, special relativity, relativistic gravitation, black holes, and an extensive introduction to quantum theory. In-class discussions will regularly address relevant issues in 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.
Cooperation and diversity strengthen our academic community, so the course will prioritize collaboration and 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.
Course Notes
For students intending on concentrating in physics, please note that the laboratory component of Physics 19, called Principles of Scientific Inquiry (PSI), is a departmental requirement. (For students in Physics 19 who are not planning on concentrating in physics, PSI is not required.) Sign-ups for PSI will be arranged at the beginning of the semester. PSI topics will include experimental design, model testing, measurements, data collection, data and error analysis, basic programming, oral presentations, and scientific writing. PSI will meet weekly throughout the semester, and will emphasize collaborative teaching and learning.
Recommended Prep
Physics 19 is mathematically intensive. The course will assume a working knowledge of single-variable differential and integral calculus at least at the level of Mathematics 1A, as well as a high comfort level with abstract concepts, but will not assume previous coursework in physics or multivariable calculus. Mathematics 1A is not a strict requirement, and students who are unsure whether they have adequate background should contact the instructor. The course will cover relevant topics from vector calculus, complex analysis, linear algebra, and other areas of mathematics as needed, so a prior familiarity with these subjects, while helpful, will not be required.
Available for Harvard Cross Registration
