Fall/Spring/Summer

Math majors, Physics and Engineering majors and graduate students in related areas

The sequence Math 521-522-621 has the objective of conveying an understanding of the structure of analysis in itself as well as its role as a tool for other disciplines. This sequence is highly recommended for any math major and it is essential for students preparing for graduate studies in mathematics; also it should be taken by students in physics and engineering who intend to do graduate work in their areas.

Students can consider Math 421 for a weaker and preparatory version of Math 521

Math 522.

- The real numbers, $\mathbb{R}$ and $\mathbb{R}^n$
- Elements of set theory
- Some topological properties of $\mathbb{R}^n$, metric spaces
- Sequences and series of real numbers
- Functions, limits, continuity
- Differentiation
- Integration
- Sequences and series of functions, uniform convergence
- Power series, the elementary functions.