<p>i was recently accepted to columbia CC and i had some questions about majoring in math at columbia.</p>
<p>I think i read that most math majors take honors math A and B as freshman which i think is multivariable calculus and linear algebra. I am pretty confident about my knowledge with mutli and lin alg and i was wondering if columbia allows students to skip or test out of these classes. I was also wondering what do math majors normally take after honors math A and B- is it like abstract alg or complex analysis etc.? Does columbia let undergrads take some graduate level courses if they want too? Also just out of curiosity are there any opinions on what your favorite classes were/ what the most rigorous or hard classes were. </p>
<p>Congratulations on your acceptance. Columbia is a great place to be an undergraduate math major.</p>
<p>The point of Honors Math A/B is that it is proof based rather than plug-and-chug. If you can ‘prove’ your skills, I’m certain the math department would be happy to move you on to the next step, the yearlong sequences in Modern Algebra and Modern Analysis. Yes, of course you can take graduate level courses – I’d say it’d be expected of you.</p>
<p>It’s pointless to recommend, say, ‘Modern Algebra with Friedman’ because there is a rotation of teachers and schedules. Basically you take the courses with the teachers teaching them at that time. There are plenty of great and some bad math teachers at Columbia, but you’ll figure that out for yourself soon enough.</p>
<p>You should contact the head of undergraduate math sometime toward the end the summer and discuss your battle plan.</p>