Introduction Daniel I Bernoulli stated that “there is no philosophy which is not found upon knowledge of the phenomena, but to get any profit from this knowledge it is absolutely necessary to be a mathematician”(BrainyQuote). Daniel, a second generation mathematician, learned this valuable lesson, as his father and uncle had before him; mathematics is vital when interpreting the world. While Daniel was succeeded by a laundry list of mathematicians and physics, it is he and the men which preceded him that truly impacted the mathematical world of their time. “That calculus rose to its height of popularity in the eighteenth century,” is attributed to Jacques I and Johann I (Lick, 401). Daniel I’s accomplishments warranted him “the founder of mathematical physics”(Lick, 401). Along with their accomplishments, these men worked side by side with the most gifted and influential mathematical mind of the time. The following will discuss the lives of these three distinguished men, their associates, and their accomplishments. Jacques Bernoulli I While, in most recent history, the Bernoulli name is associated with mathematics, in 1654, Jacques I Bernoulli was born into a long line of merchants in Basel, Switzerland (Bernoulli A, 46)(Lick,…
One of the first rules that is taught when learning Calculus is L’Hospital’s rule. The rule provides an easy technique to solve for a limit that has the indeterminate form 0/0. To get past this roadblock, L’Hospital’s rule allows for the individual differentiation of the numerator and denominator, and taking the limit of the result. If after the first application of the rule the limit once again produces the indeterminate form, it is possible to apply L’Hospital’s rule again. There is mystery…
Fundamental Theorem of Calculus The Fundamental Theorem of Calculus evaluate an antiderivative at the upper and lower limits of integration and take the difference. This theorem is separated into two parts. The first part is called the first fundamental theorem of calculus and states that one of the antiderivatives of some function may be obtained as the integral of the function with a variable bound of integration. The second part of the theorem, called the second fundamental theorem of…
subject I am seeking licensure to teach is secondary mathematics. Throughout middle school and high school, math was one of my favorite subjects. I did not enter James Madison University as a mathematics major, however, as I initially believed I wanted to teach elementary school. This was mostly because I was having difficulty deciding what subject I would teach if I chose a secondary education track. I enjoyed all of my classes in high school (except for history), and though I knew I wanted to…
Evil is something that everyone sees and feels differently. The Merriam-Webster dictionary defines it in many ways ranging from “morally reprehensible” to simply “bringing sorrow, trouble, or destruction”. Obviously, evil is hard to describe and yet has been with us from the start. From a religious perspective, many cannot understand why an infinitely good being such as God would allow this evil suffering and pain to exist unless and feel betrayed by Him. Evil, to these people, is the direct…
What is Gum Graft Surgery? What is a gum graft and why might one be needed? The initial thought of having a gum graft performed can be enough to cause some stress. However, worry not, if you need a gum graft, it is a simple procedure performed in your dentist’s office. In all honesty, it sounds worse than it actually is. If you need to have a gum graft performed, or are considering one, clearing the air of what it actually is and why it is needed may help alleviate some of your fears. A gum…
I. To begin my observation, I chose to observe Erika. I arrived after she already cleaned her unit, but I was there to see her prep her unit. She got out her instrument cassettes from the sterilizing room and her tray. Then she went to go get her patient. She was very friendly with him and asked about how his day was going so far. Erika had everything ready to go to start her patient process which looked very professional. I was also impressed with how smoothly she transitioned from asking small…
I continued on in high school with geometry, a second year of algebra, precalculus, trigonometry, and calculus. Thus far, my math courses in college have also been easy for me. My least favorite teacher was my calculus teacher, and it was not solely because of the tough subject matter. He was an engineer who took up teaching after retirement. He very simply could not teach well. He would stand in front of the board and talk through the problem at a pace that was almost impossible to follow. I…
While the card drawing technique is a playful method of random homework selection, it answers the call of Cooper et al. [4] in considering “non-achievement-related effects of homework” (p. 54), and more specifically addresses two contemporary important issues facing mathematics educators. The first is classroom attendance. Romer [18] discussed how absenteeism is “rampant” in undergraduate classes, adding that “steps to increase attendance, including making attendance mandatory, may deserve…
Application of Calculus in the Real World – Space Shuttle Launch Most people wonder what calculus can be used for in future career opportunities. For me this was easy to see because I knew what I wanted to go into. In the future, after college, I hope to go into the aerospace field and deal with things like planes, space shuttles and helicopters. At this point people, may not see the ridiculous amount of calculus I will use in the future, but in fact I will be using it daily. Whether it be…