• Home
  • Introduction to the Theory of Functions II

Introduction to the Theory of Functions II


A continuation of MATH 765.


An Introduction to Analysis, Wade, Prentice Hall, 4th edition.

Credit Hours: 


  1. Infinite series (continued). Uniform convergence of sequences and series of functions. Power series.
  2. Euclidean and Metric Spaces
    • Topology on Rn
    • Limits and continuity of functions on Rn
    • Metric spaces - topology and continuity of functions
  3. Differentiability on Rn
    • Partial derivatives and differentiability
    • Mean value theorem and Taylor's formula
    • Inverse and implicit function theorem
    • Extreme and tangent planes
  4. Integration on Rn (as time allows)
    • Iterated integrals and Fubini's theorem
    • Change of variables
    • Fundamental Theorem of Multivariable Calculus


(Stefanov 2010 )

Every Spring Semester

Events Calendar

Using Math

CTE course transformation grant helps Emily Witt, assistant professor of math, develop active learning with student groups in calculus.  Positive results using modules developed with Justin Lyle and Amanda Wilkens, math graduate students, were attained.  Read more

Math and COVID-19: Sources on how math is being used to track the virus and its spread.  AMS link.

A mathematician-musician's breakthrough melds East, West. Read more.

Researcher's innovative approach to flood mapping support emergency management and water officials. Read more.

Nicole Johnson found a way to express her baton twirling using math. See video.