521 - Analysis I
Previous serious exposure to understanding and writing proofs is required in Math 521. Any of the courses Math 341, Math 371, Math 375-76, Math 421, or Math 461 provide this experience. Admission to Math 521 is also possible with the consent of the instructor.
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.
- The real numbers, R and R^n
- Elements of set theory
- Some topological properties of R^n, metric spaces
- Sequences and series of real numbers
- Functions, limits, continuity
- Sequences and series of functions, uniform convergence
- Power series, the elementary functions.