Applied Mathematics for Engineers

October 23, 2023
Applied mathematics for

The department is a close-knit academic community in which faculty members and students work together to solve important problems.

Applied mathematics involves the application of mathematics to problems which arise in various areas, e.g., science, engineering or other diverse areas, and/or the development of new or improved methods to meet the challenges of new problems.

There are some who call themselves applied mathematicians who consider a mathematical model, e.g., a differential equation and associated conditions, and content themselves with merely proving existence of the solution, its uniqueness, and some degree of regularity, with no attempt to determine the behaviour of the solution nor its implications for the real-world problem being modelled.

Our view is different. We view applied math as the application of mathematics to real-world problems with the dual goal of explaining observed phenomena and predicting new, as yet unobserved, phenomena. Therefore, the emphasis is on both the mathematics, e.g. the development of new methods to meet the challenges of new problems, and the real world.

The problems come from various applications, such as physical and biological sciences, engineering, and social sciences. Their solutions require knowledge of various branches of mathematics, such as analysis, differential equations, and stochastics, utilizing analytical and numerical methods. Very often our faculty members and students interact directly with experimentalists to see their research results come to life.

Source: www.mccormick.northwestern.edu
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