Spring 2020

Real Analysis in Higher Dimensions

Listed in: Mathematics and Statistics, as MATH-372


Ryan J. Alvarado (Section 01)


This course builds upon the material in MATH 355 (Introduction to Analysis) in order to rigorously develop basic tools for studying functions of more than one real variable. While the setting in MATH 355 is the real number line, the context for this course will be the n-dimensional Euclidean space. Many facets of analysis on this n-dimensional space will be explored including its topological properties as well as differentiation and Riemann integration in n-variables. The course will cover fundamental results such as the celebrated implicit and inverse function theorems. Time permitting, we may discuss additional topics such as analysis on metric spaces. Four class hours per week.

Requisite: MATH 355 and either MATH 271 or 272; or consent of the instructor. Limited to 25 students. Spring semester. Professor Alvarado.

If Overenrolled: Preference will be given to MATH majors.


Quantitative Reasoning


2022-23: Not offered
Other years: Offered in Spring 2020