Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 521: Analysis I

Frequency: 

Fall/Spring/Summer

Student Body: 

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

Background and Goals: 

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.

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 341 or 375 or 421
additional_info: 

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

(608) 263-3054

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