Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 521: Analysis I



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.


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.


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

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, WI  53706

(608) 263-3054

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