Applied mathematics

== Status in academic departments ==

Academic institutions are not consistent in the way they group and label courses, programs, and degrees in applied mathematics. At some schools, there is a single mathematics department, whereas others have separate departments for Applied Mathematics and (Pure) Mathematics. It is very common for Statistics departments to be separated at schools with graduate programs, but many undergraduate-only institutions include statistics under the mathematics department.

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. In some respects this difference reflects the distinction between "application of mathematics" and "applied mathematics".

Some universities in the [[United Kingdom|U.K]]. host departments of ''Applied Mathematics and Theoretical Physics'',<ref>For example see, [http://www.tait.ac.uk/History.html The Tait Institute: History (2nd par.)]. Accessed Nov 2012.</ref><ref>[http://www.am.qub.ac.uk Dept of Applied Mathematics & Theoretical Physics.] [[Queen's University, Belfast]].</ref><ref>[https://www.researchgate.net/institution/Queens_University_Belfast/department/Department_of_Applied_Mathematics_Theoretical_Physics DAMTP Belfast ResearchGate page].</ref> but it is now much less common to have separate departments of pure and applied mathematics. A notable exception to this is the [[Faculty of Mathematics, University of Cambridge|Department of Applied Mathematics and Theoretical Physics]] at the [[University of Cambridge]], housing the [[Lucasian Professor of Mathematics]] whose past holders include [[Isaac Newton]], [[Charles Babbage]], [[James Lighthill]], [[Paul Dirac]], and [[Stephen Hawking]].
[[File:Brown_University_Applied_Mathematics_building.jpg|thumb|The [[Brown University]] Division of Applied Mathematics is the oldest applied math program in the U.S.<ref name=":9">{{Cite book|last=Suzuki|first=Jeff|url=https://books.google.com/books?id=lew5IC5piCwC|title=Mathematics in Historical Context|date=2009-08-27|publisher=MAA|isbn=978-0-88385-570-6|pages=374|language=en}}</ref><ref>{{Cite journal|last1=Greenberg|first1=John L.|last2=Goodstein|first2=Judith R.|date=1983-12-23|title=Theodore von Kármán and Applied Mathematics in America|url=https://www.ams.org/publicoutreach/math-history/hmath2-greenberg.pdf|journal=Science|volume=222|issue=4630|pages=1300–1304|doi=10.1126/science.222.4630.1300|pmid=17773321|bibcode=1983Sci...222.1300G |s2cid=19738034}}</ref>]]
Schools with separate applied mathematics departments range from [[Brown University]], which has a large Division of Applied Mathematics that offers degrees through the [[doctorate]], to [[Santa Clara University]], which offers only the [[Master of Science|M.S.]] in applied mathematics.<ref>{{citation|title=Santa Clara University Dept of Applied Mathematics |url=http://www.scu.edu/academics/bulletins/undergraduate/Department-of-Applied-Mathematics.cfm |access-date=2011-03-05 |url-status=dead |archive-url=https://web.archive.org/web/20110504005925/http://www.scu.edu/academics/bulletins/undergraduate/Department-of-Applied-Mathematics.cfm |archive-date=2011-05-04 }}</ref> Research universities dividing their mathematics department into pure and applied sections include [[MIT]]. Students in this program also learn another skill (computer science, engineering, physics, pure math, etc.) to supplement their applied math skills.