Bridging Directly to MATH2320

Only in exceptional circumstances should students skip first year MATH1115 and MATH1116 and proceed directly to the second year course MATH2320 Analysis I Honours. There is a lot of preliminary work required and the conceptual approach in MATH2320 is vastly different from anything done in high school / college. Perhaps one or two students a year, on average, might take this route.

If you are thinking about doing this, then here is what I recommend. You will need to understand well the axioms for the real number system, and the rigorous development of limits, continuity, differentiation and Riemann integration.

For this I suggest that you study the material in the Notes from the 1998 course MATH1115. These notes essentially include the material from both MATH1115 and MATH1116 that is prerequisite for MATH2320. You should also do the problems from Assignments 1, 2, 2(extra), 4, 5, and after attempting Assignment 1 study Solution 1. (The problems referring to the book by Lay are from the linear algebra part of the course, and are not relevant to MATH2320. Ignore them for current purposes.). Unfortunately the set of problems is far from comprehensive, and even less so is the set of solutions! (sorry, but that is all that is currently available --- however see below).

I also recommend that you look at the Notes from the 1999 course MATH1115. These are to be used in conjunction with the 1998 notes. The main difference being that continuity of functions is here approached first via convergence of sequences. Also, do the problems from Assignments 1, 2, 3, 4, 5, 5(other) and afterwards study Solutions 1, 2, 3, 4, 5.

Last updated: 22 January 2003