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Applicable areas of mathematics include most notably differential equations, Numerical Analysis , Mathematical Physics and mathematics methods of Engineering , Linear Programming and other Optimization and Operations Research methods, Continuous Modelling , Control Theory , Mathematical Biology and Bioinformatics , Information Theory , Game Theory , Probability , Mathematical Economics and Financial Mathematics , Actuarial Science , Cryptography and hence Number Theory , Graph Theory (as applied to Network Analysis ), and areas of theoretical Computer Science . Statistics is, strictly speaking, a separate field from mathematics, but is often included in such a list. Engineering mathematics and mathematical physics describe physical processes, and so are often indistinguishable from Theoretical Physics . In fact, there are departments of ''Applied Mathematics and Theoretical Physics''. Traditionally, mechanics was often taught in departments of applied mathematics in American universities. However, it is now much less common to have separate departments of pure and applied mathematics. Schools with separate applied mathematics departments range from Brown University , which has a well-known and large Division of Applied Mathematics that offers degrees through the Doctorate , to Santa Clara University , which offers only the M.S. in applied mathematics. Many research universities divide their mathematics department into pure and applied sections (e.g., MIT ). Fundamental applied mathematics is taught at second-level in some countries, such as Ireland , where it is a minority option at Leaving Certificate . SEE ALSO EXTERNAL LINKS
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