Talk to your admissions representative.
Imho. Going from a writers workshop to precalc and communications 101 to engineering doesn’t sound like an issue. It actually sounds like an increase in rigor. Don’t let this trigger your anxiety. Get the answer from the only people that matter, your UC admissions officer. The advice you will receive on this thread, including my own, is complete speculation.
Don’t bury your head in the sand. Find out and move forward.
Also make sure you talk to someone who can make a referral for you to talk with a counselor for the anxiety. You aren’t alone and there are people trained to help you.