About twenty years ago, Olgur Celikbas attended a conference on algebra in Turkey. He and his then girlfriend, Ela Özçağlar, had recently graduated from college in Ankara; both had studied math. At ...

In this math tutorial, we clarify the distinctions between horizontal and vertical function transformations. We address ...

In this video, I explain the concept of function transformations, differentiating between outside and inside operations. This ...