CU Boulder News & Events: APPM 4360/5360 Methods in Applied Mathematics : Complex Variables and Applications
Introduces methods of complex variables, contour integration, and theory of residues. Applications include solving partial differential equations by transform methods, Fourier and Laplace transforms, ...
This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...
Reviews basic ideas of complex analysis, including solutions of ODEs and PDEs of physical interest via complex analysis; conformal mapping, including Schwarz-Christoffel transformations and ...
Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...
In statistical research, a variable is defined as an attribute of an object of study. Choosing which variables to measure is central to good experimental design.
Variables are one of the most basic and essential concepts in programming, used to store values. What is a Variable? A variable has a name, and you can store something in it. The image below shows how we can think of a variable named favFruit, with the value 'apple' stored inside it.
At the end of the 16th century, François Viète introduced the idea of representing known and unknown numbers by letters, nowadays called variables, and the idea of computing with them as if they were numbers—in order to obtain the result by a simple replacement.