Gallery — Math

The second project for MATH 2400, Calculus II, at Fitchburg State. Estimating volume using definite integrals.

A short look at how to compute the domain of a composite function.

A basic understanding on Bayes' theorem and how to apply it to baseball statistics.

When measuring a speed, the most common way to calculate it is by recording how far something went and the time it took to go that far. In the case of light, this is very difficult. One could conceivably shine a light over a vast distance and have someone else record when they see the light, but this would be difficult even at large distances. The person recording when they see it will need to have terrific reflexes to accurately measure a correct time as the time will be very short. A better method involves the use of a quickly rotating mirror and a beam of light. By aiming a beam of light o the rotating mirror, then reflecting it o a second stationary mirror back into the rotating mirror, calculations can be made on the speed of light. After first hitting the rotating mirror, the mirror will rotate very slightly in the time it takes the beam of light to return and will reflect back to a different position from where it came from. By measuring the displacement of the round trip, a measurement of the speed of light can be made.

Fluid Report

Theory and olympiad problems involving modular arithmetic

This is the fifth project option for Calculus I during Fall 2017 at Fitchburg State. This project involves ordering types of functions by investigating their limits at infinity.

We'll show that probability and uncertainty can be convert each other through quadratic equation. And, we'll also show that the quadratic equation can be transform to homogeneous equation, and some assumptions generate symmetric forms.

This is the 6th project for Calc1 at Fitchburg State. Students are walked through the steps to justify the different pieces of the Fundamental Theorem of Calculus and make connections between the two parts.