@CmonMattTHINK You always get an even function.
The Taylor series for g(x) is the sum of the Taylor series for f(x) and f(-x). For the odd terms, f(x)=-f(x) so these terms sum to 0. For the even terms, f(x)=f(-x).
The result is a sum of only even powers. Thus the function g(x) must be even!
@Mathowitz My head cannon is that of the number is big or an integer, it's degrees. If it's small then it's radians.
But if I'm looking for consistent notation then there should always be a degree symbol on any number of degrees.
@j_bertolotti @Kaju_Nut The only class I "enforce" attendence (where attendence carries grade weight) is an intro level course where we spend the entirety of every class doing group lab activities.
Also in that class, I remake groups periodically. I group people based on attendence.
@hankgreen The older I get, the more I think that many problems arise when people start caring about situations that did not involve them and happen outside their local sphere of influence.
@Mathowitz During summer semester, we do four hours of physics, five days a week for four weeks. I love it. It's exhausting but it's basically physics summer camp.
That said, I don't use a standard lecture curriculum. That sounds like hell.
@CmonMattTHINK@hpicciotto Interesting idea. Is this much different than assigning chapter homework rather than daily homework? Students get more time to sit with the material before they need to be assessed on it.
@Quasilocal We have the option to include or enforce a similar policy. But we also have policy tools to allow students who suffer significant hardship to continue working past the end of the semester to make up the work so they don't have to repeat the class.
They are all just tools.