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Elvis, a Welsh corgi, is featured in a math problem, in which a tennis ball is thrown from water's edge point A to a point B in the water. The dog runs along the shore and then swims to the ball at point B. Students using statistics and other tests are able to show that Elvis selected a very good path, but cannot conclusively say that the path selected was the optimal path.

A program on calculus is conducted, which helps students learn about inherent differentiation through a study of mathematical functions, while simultaneously reinforcing their understanding of functional concepts. This process develops their mathematical experience in the field of calculus and in other advanced quantitative programs.

The ability to understand and analyze the rate of change of a situation depicted in graphical form is an essential skill when students study various type of algebraic functions and basic elements of Calculus. The description is done with pictures, translating scenarios, transforming data, developing the slope formula and many other lessons.

A retrospective voyage through the revolution of AP calculus course, and the technological changes it underwent are described. Several major changes in AP calculus classrooms are reflected in AP examinations.d

The contrasting thinking processes of two calculus beginners are illustrated. Both the instructional experiences were similar but their representational schemes for the derivative function were different.

A multilayered maximum-minimum problem from calculus topic is studied. The problem is analyzed by providing two types of solutions, the efficient solution and the interesting solution.