Complex Variable

National University of Ireland, Galway

Course Description

  • Course Name

    Complex Variable

  • Host University

    National University of Ireland, Galway

  • Location

    Galway, Ireland

  • Area of Study

    Calculus, Mathematics, Statistics

  • Language Level

    Taught In English

  • Prerequisites

    Enrollment of visiting students is subject to the agreement of the Head of Discipline and will depend upon the student's academic background in the relevent subject area.

  • Course Level Recommendations


    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • ECTS Credits

  • Recommended U.S. Semester Credits
  • Recommended U.S. Quarter Units
  • Overview

    * Complex functions, the Cauchy-Riemann equations, standard complex functions
    * Linear functions, linear fractional transformations
    * Complex integration: Cauchy's Integral Theorem, Taylor and Laurent expansions, residues, the Residue Theorem and applications


    * S.L. Salas, E. Hille & J.T. Anderson, "Calculus, One and Several Variables" (Wiley)


    * J.B. Fraleigh, "Calculus and Analytic Geometry" (Addison Wesley)
    * M. Spiegel, "Advanced Calculus" (Schaum Outlines)

Course Disclaimer

Courses and course hours of instruction are subject to change.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.