With the second semester now underway, my AP Calculus AB students began their journey into integral calculus by exploring the Riemann Sum, named for the German mathematician Bernhard Riemann (1826-1866). Herr Riemann formalized a specific application of the method of exhaustion pioneered by the Greeks, which itself evolved over time as Eudoxus improved upon Antiphon’s work from the 5th century B.C.E., which led to Archimedes applying the method using triangles to find the area under a paraboloid. Riemann’s contribution used rectangles to estimate the area under any curve. Three different approaches for computing the Riemann Sum estimate for a function, f(x), are shown below.
While leading my students in their journey, I discovered that our new calculus textbook includes a set of problems that need a program that runs on the TI-84 calculator; however, I did not receive the program with the textbook’s ancillary materials. Without the calculator…
View original post 440 more words