• Home
  • Complex Variables and Applications

Complex Variables and Applications


Analytic functions of a complex variable, infinite series in the complex plane, theory of residues, conformal mapping and applications.


Complex Analysis for Mathematics and Engineering, Mathews and Howell, 6th edition, Jones & Bartlett.


MATH 127 or MATH 147 or MATH 223 or MATH 243.

Credit Hours: 

Topics from the following chapters:

  1. Complex Numbers
  2. Complex functions
  3. Analytic and Harmonic Functions
  4. Sequences, Julia and Mandelbrot Sets, and Power Series
  5. Elementary Functions
  6. Complex Integration
  7. Taylor and Laurent Series
  8. Residues Theory
  9. Conformal Mapping

Individual projects in applications selected from the remaining chapters in the textbook.

(Gavosto 2016 )

Every Fall 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.