Mathematics is an indispensable part of the structure of physics. Since mathematics provides the logical framework where physical laws can be precisely formulated and their predictions quantified, students with highly developed mathematical skills tend to have a greater advantage in a physics course. It is therefore strongly recommended that students begin their mathematical studies at Brown as soon as possible, and at the highest level consistent with their mathematics background.

Most entering students take either MATH 190 or 350 in the fall semester, depending on their background (note that 190 is preferred over 170), followed by MATH 200 or 520 or 540 (the latter two following 350). It is strongly recommended that all sophomores take PHYS 720, “Methods of Mathematical Physics”, which will provide students with the essentials of linear algebra, Fourier analysis and differential equations, in a form most appropriate for advanced Physics courses. Note that PHYS 720 can be taken with no previous knowledge of linear algebra (the subject matter of MATH 520 and 540).

Students earning an Sc.B. in Physics must take one additional Math or Applied Math course beyond those listed above. Courses in ordinary and partial differential equations, Fourier analysis and complex analysis are highly recommended. Probability and statistics, group theory, topology and differential geometry are also good choices.

For clarification or advice on individual cases, please consult the Physics Concentration Advisor or the course instructors.