MATH 383
Complex Analysis
Last Offered Fall 2021
Division III Quantitative/Formal Reasoning
This course is not offered in the current catalog

Class Details

The calculus of complex-valued functions turns out to have unexpected simplicity and power. As an example of simplicity, every complex-differentiable function is automatically infinitely differentiable. As examples of power, the so-called “residue calculus” permits the computation of “impossible” integrals, and “conformal mapping” reduces physical problems on very general domains to problems on the round disc. The easiest proof of the Fundamental Theorem of Algebra, not to mention the first proof of the Prime Number Theorem, used complex analysis.
The Class: Format: lecture
Limit: 40
Expected: 30
Class#: 1323
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: homework, classwork, and exams
Prerequisites: MATH 350 or MATH 351 or permission of instructor
Enrollment Preferences: 40
Unit Notes: this course is not a senior seminar, so it does not fulfill the senior seminar requirement for the Math major
Distributions: Division III Quantitative/Formal Reasoning
QFR Notes: Advanced mathematics course with weekly or daily problem sets.

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