That page says that “The following courses are REQUIRED for admission to this major”. Below that are most of the listed courses. A small section at the bottom says “Listed below are additional degree requirements for this major that are strongly recommended and can be met with community college courses:”. Below that is one course (UCLA C&EE M20 or ELAC ENG GEN 122).
So, if you want to target UCLA, take all of the courses listed under “REQUIRED” (ELAC CHEM 101, 102, 211, 212; MATH 261, 262, 263, 270, 275, 173; PHYSICS 1, 2, 3, 4; ENGLISH 101, (102 or 103)). If you can also take ELAC ENG GEN 122, that is even better, but that is optional.