Course $,$ teachers, text are as in the table CTX

course teacher text

physics one mechanics

physics one optics

physics two basic mechanics

physics two optics

physics three mechanics

physics three optics

math four algebra

math four geometry

Please explain:

$(1)$ is CTX BCNF$?4$NF$?$

$(2)$ Is there redundancy? What is the problem? If we add a new course of physics what we will have to do $($suppose that all the teacher of physics can teach this new course$)$

$(3)$ what kind of dependency exists?

$(4)$ give the solution