Introduction to Ordinary Differential Equations
mar. 12 février à 01:00
Mark Diaz, a regular attendee of Math for Math's Sake, will be doing an introduction to Ordinary Differential Equations (ODEs). He writes: This is a field of mathematics that has a rich history and many further possible extensions (see MSC 2010 below), which is known from its many applied and theoretical aspects. It uses many fundamental principles from both Calculus I and II, so it is encouraged to review both derivatives and integrals accordingly. MSC 2010 Webpage:
https://mathscinet.ams.org/msc/msc2010.html?t=34-XX&btn=Current Typically, one is solving for a quantity in equations. In higher mathematics, such as ODEs, you can talk about solving for a function instead. For this talk, focus will be made on: history, types, and solutions. In general, one day is enough to get an impression, but recommended listing of textbooks in the slides will allow a deeper dive for those interested. The extensions are more in peer-reviewed papers and beyond the scope of most textbooks. By the end of this session, you can answer: "Why are patterns with derivatives informative?" and "Why did we always add +C to an integral?". In addition, you will see how to harness the power of Wolfram Alpha in solving ODEs, helpful for self-exploration and solution checking. Happily, it is both a website and app, so it is fairly accessible on most devices. Look forward to starting you off in a topic that I originally learned a decade ago!