Which course is more difficulty in terms of which subject contains more rigorous proofs, Complex variables or Real analysis. I don't know whether I should dropped Complex variables, but the only reason I am taken it is because of the useful physics applications found in this course. I my school, the only prereq for CV is calculus 3 , and the prereq for Real analysis is a transitional proof class and abstract algebra. I think complex variables is an interesting class and the content of the class is not as rigorous as say Real analysis to me, but my prof(not my advisors ) thinks I should dropped it. I can't dropped a 3 hour class because I am taken only 12 hours of classes right now, and therefore would become a part time student if i dropped it.