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  1. Mathematics is the study of representing and reasoning about abstract objects (such as numbers, points, spaces, sets, structures, and games).Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences.

  2. Many applied mathematics programs (as opposed to departments) consist primarily of cross-listed courses and jointly appointed faculty in departments representing applications. Some Ph.D. programs in applied mathematics require little or no coursework outside mathematics, while others require substantial coursework in a specific area of application.

  3. El término STEM es el acrónimo de los términos en inglés Science, Technology, Engineering and Mathematics (Ciencia, Tecnología, Ingeniería y Matemáticas). El término STEM, a secas, únicamente sirve para agrupar a las 4 grandes áreas de conocimiento en las que trabajan científicos e ingenieros. [1