UC and college has its own breadth rules which are often not the same. I suggest getting it completed for Berkeley, and at least checking with ucla for best practices. If you are applying from out-of-state or from another four year college in California, you can still get into Berkeley or ucla. If a course is not offered at your community college and there isnt one nearby at another CCC in your district, the UCs generally will let it slide.
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Go here and check out the majors by campus. There are applicants who get in below the 25, but keep in mind they are probably hugging that bottom GPA or have some other consideration: star football player, grandson of a noted individual, or some claim to fame. Unfortunately, neither Berkeley nor ucla offer guaranteed admission. Usually it is transferable, but be sure to check. You also do not submit your high school transcript during the application process, but if accepted, you then will need to send the transcript before your UC term starts. For any overages above 70 you will get subject credit only. Finally, you can be accepted into both Berkeley and ucla. Be careful with the two required English courses. Calc 3 has a pre-req of Calc. This is because the state of California has mandated that every year one-third of all UC-accepted students must be transfer students. Be as competitive as possible within your major. If the road you took to get to the UC was more of a winding path with multiple stops along the way, thats fine.