There are honors math courses that the OP was referring to:
https://math.berkeley.edu/courses/choosing/honors-courses
There is also an honors physics sequence. It used to be H7A, H7B, H7C, but it was renamed 5A, 5B, 5C with the topics reordered (probably to make more sense for physics majors, as opposed to engineering majors that make up most of the students in 7A, 7B, 7C).
With respect to the OP’s questions, the math department would have the answer, if they are willing to tell them to the student.