Hello everyone. In my 4th year of undergraduate, I plan on applying to grad school in mathematics. However, I'm just finishing my second year of study (pure math), and I've yet to take analysis and algebra. I'm definitely taking the year long honors sequence in analysis next year, and I really wish to take the honors algebra one simultaneous. The main reason for this is that I believe grad schools would want to see my grades for a core class (algebra) before applying, but I'm not sure if my chances will be "hurt" if I were to instead take the algebra sequence senior year. However, for lack of a better phrase, I'm a bit worried about losing my sanity with taking two honors sequences simultaneously plus a couple other math classes spread out over the quarters. Do you think it would be better to take analysis with the rest of my electives next year and then algebra and perhaps at most one grad class a quarter with a GE senior year, or tough it out next year with both sequences and a few electives?
I'm not worried so much about the courses being "hard." I know they will be, and I'm looking forward to it. However, I do think that by doing too much at once, I might be putting myself at a disadvantage, seeing as how the competition is tough enough as it is. Any help and/or personal experience would be greatly appreciated. Thank you and good night.