Aug 09, 2020  
2018-2019 Undergraduate Catalog 
    
2018-2019 Undergraduate Catalog [ARCHIVED CATALOG]

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MATH 372 - Complex Analysis (Put on Reserve 9/16/16.)


Description:
Arithmetic of complex numbers and functions of a complex variable, linear fractional transformations, Cauchy-Riemann equations, contour integration, Cauchy’s theorem, residue theorem, power series and applications. (Put on Reserve 9/16/16. Last taught in 2012. Will go inactive 8/24/19.)

Prerequisites:
Prerequisites: MATH 260 and MATH 273 with grades of C or higher.

Credits: (5)

Learner Outcomes:
Upon successful completion of this course, the student will be able to:

  • Differentiate the elementary functions, compute line integrals, compute real integrals using residues and Cauchy’s Theorem, compute the Taylor series for a holomorphic function and the radius of convergence for its Taylor series.
  • Determine where a region is mapped to under a linear fractional transformation. Conversely, students will be able to define a linear fractional transformation that maps one region to another region.
  • Prove a given function is holomorphic using the Cauchy-Riemann equations.
  • Give an epsilon-delta continuity proof.
Learner Outcomes Approval Date:
6/15/06



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