Frequency:

Fall/Spring/Summer

Student Body:

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

Background and Goals:

The real numbers, elements of set theory, metric spaces and basic topology, sequences and series, limits, continuity, differentiation, integration, sequences and series of functions, uniform convergence.

Alternatives:

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

Subsequent Courses:

Math 522.

Course Content:

- 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.

credits:

3. (N-A)

semester:

All

prereqs:

MATH 322, 341, 376 or 421 or graduate or professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

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