REAL ANALYSIS II
Prerequisite and degree relevance: Mathematics 365C, with a grade of at least C-.
Course description: A rigorous treatment of selected topics in real analysis, such as Lebesgue integration, or multivariable integration and differential forms.
Possible Texts: Spivak, Calculus. Ross, Elementary Analysis; the Theory of Calculus. Fulks, Advanced Calculus.
This is a continuation of 365C with emphasis on functions of several variables. The treatment should be reasonably simple (for example, it is inappropriate to use Banach space language). The teacher can select his own textbook, and should weigh his/her choice carefully in light of the above remarks and not get too ambitious.