Complex Variables with Applications

A color rectangle with grids on the left and color parabolas on the right.

In the figure above, f(z) = z2 maps the first two quadrants to the entire plane. (Image courtesy of Jeremy Orloff.)

Instructor(s)

MIT Course Number

18.04

As Taught In

Spring 2018

Level

Undergraduate

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Course Description

Course Features

Course Description

Complex analysis is a basic tool with a great many practical applications to the solution of physical problems. It revolves around complex analytic functions—functions that have a complex derivative. Unlike calculus using real variables, the mere existence of a complex derivative has strong implications for the properties of the function. Applications reviewed in this class include harmonic functions, two dimensional fluid flow, easy methods for computing (seemingly) hard integrals, Laplace transforms, and Fourier transforms with applications to engineering and physics.

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Related Content

Jeremy Orloff. 18.04 Complex Variables with Applications . Spring 2018. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.


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