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Course Description
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Course Name
Complex Variable
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Host University
University of Galway
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Location
Galway, Ireland
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Area of Study
Calculus, Mathematics, Statistics
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Language Level
Taught In English
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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.
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Course Level Recommendations
Upper
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.
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ECTS Credits
5 -
Recommended U.S. Semester Credits2
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Recommended U.S. Quarter Units3
Hours & Credits
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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 applicationsTexts
* S.L. Salas, E. Hille & J.T. Anderson, "Calculus, One and Several Variables" (Wiley)
References
* 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.