I am taking linear algebra right now, honours version. and i wonder if it is considered a real math course, i.e. is it really abstract or not, or is it like the baby stuff? i.e. the teacher gave in class a proof by induction that eigenvectors from distinct eigenvalues are independent. and so on. but this class is for physics majors, so i and many others are not taking analysis2 concurrently... i wonder if analysis 1&2 will be more abstract, i.e. harder, than this course, or the same? because i like this course, but im afraid if it were much more abstract, i'd be in trouble. im thinking of switching into the math major, then next fall i'll be taking analysis1 and algebra3, while most honours math students will be taking algebra3 and analysis3! but i think then i will also sign up for probability, which has analysis2 as a prerequisite.