Which Came First?

In one of my math classes – it may have been calculus – many decades ago, we started by determining what kind of functions we were going to study. A good part of the answer was continuous functions. Looking closely, you will find that almost all the theorems in beginning calculus require that the function…

Summertime

Summertime and the living is easy, or so they sing. The school year is over, quite a year as it turned out. Looking ahead I do not plan on a lot of posts for the blog. I am going to do a little more reorganization to make things easier to find. In August I will…

Testing, but Not for Calculus

While calculus teachers are concerned with the new format of this year’s AP Calculus exams, there is other testing that is important now: tests for disease. Today’s post is not about calculus; mathematically, it is about conditional probability. In the big picture, it is about tests for disease and their accuracy. . No test for…

AP Calculus Exams Update

Here is the latest information on the 2020 AP Calculus Exams as of April 3, 2020. Updated 4/29/2020 Update: A message from the AP Program 4/28/2020 Subject: How to Prepare Your Students for the 2020 AP Exams Dear Colleagues, Additional information is now available to help guide you and your students through the exam day experience.…

Polar Equation Questions (Type 9)

AP  Questions Type 9:  Polar Equations (BC Only) Ideally, as with parametric and vector functions, polar curves should be introduced and covered thoroughly in a pre-calculus course. Questions on the BC exams have been concerned only with calculus ideas related to polar curves. Students have not been asked to know the names of the various…