<p>Applied mathematics draws its topics from real world applications. The point is to solve mathematical problems and develop solutions to mathematical problems that exist in the real world. The research is motivated by real world applications and not just mathematics itself.</p>
<p>Pure mathematics is of course studying mathematics and its structures themselves by using mathematical logic.</p>
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<p>It shouldn’t be about simply a degree’s focus, but much more and else (social ability, teaching skills, can do independent research, can do good research, being capable of being a role model).</p>