Calculus Sources for your Essay

Calculus? Calculus Is a Vast


(Hilton, 26) in general, no mathematician would be willing to accept the solution to a problem without some sort of proof, and in the same way, no student of calculus would be ready to accept the resolution of a problem without the necessary proof. (Cadena; Travis; Norman, 77) It must be stated that Newton's mathematics that involved 'fluxions' was one of the first forms of the area defined as 'differential calculus'

Calculus? Calculus Is a Vast


The links between the physics concepts of position and velocity and acceleration and the totally calculus concepts of function, derivative and anti-derivative were found. (Dosemagen; Schwalbach, 54) Another teacher toot found that when physics is applied to calculus, the problems would be solved easily

Calculus? Calculus Is a Vast


This would also mean that they would be able to apply these principles to other areas as well, in other words, when the student begins to think about the most important developments in the history of, say, differential calculus, then the notion of 'limit', and its final elucidation would come to mind. (Hilton, 26) in general, no mathematician would be willing to accept the solution to a problem without some sort of proof, and in the same way, no student of calculus would be ready to accept the resolution of a problem without the necessary proof

Calculus? Calculus Is a Vast


When compared to the way in which these students found it difficult to use mathematics for their calculations, and how they preferred to use physics as a better option, it can be seen that calculus, when combined with the basic principles of physics, would be easier to apply. (Marrongelle, 30) There are many more teachers who feel that all students must compulsorily learn something of the history of mathematics and of calculus so that they would be able to better understand the advances that have been made in the area, so that in the long run they would be able to apply and to relate the old concepts to their new ways of thinking

Periodontal Health Definition of Calculus


The focus of a study by Alaluusua, Calderara, Gerthoux, Lukinmaa, Kovero, Needham, Patterson, Tuomisto and Mocarelli (2004) was to determine the effect of dioxins on human organogenesis, including periodontal health in general and the percentage of subgingival calculus sites in particular. Although it was determined that dioxins could affect the organogenesis process in human in general, exposure did not affect the number of subgingival calculus sites (Alaluusua et al

Periodontal Health Definition of Calculus


While gingivitis typically occurs prior to the onset of periodontitis, not all cases of gingivitis progress to periodontitis (Lewis 2002). Beginning in the 1960s, the most popular measure of periodontal health was based on variance in periodontal index (PI) scores and this measure remains an important indicator today (Cheraskin 2003)

Periodontal Health Definition of Calculus


According to these researchers, "As the gel is an antiobiotic, it is reasonable that the gel should be applied only if the mechanical treatment fails to solve the pocket. Moreover, the study groups in the studies seem to have been poorly defined" (Cooley & Lewkowicz 2003:63)

Periodontal Health Definition of Calculus


How far the disease process has progressed largely dictates what type of methods and procedures are used to treat periodontitis. In those cases where the condition is treated in its early stage, scaling and root planing may be sufficient (Hopkins 1994)

Periodontal Health Definition of Calculus


A summary of the research and important findings are presented in the conclusion. Review and Analysis Definition of Periodontal Health Generally speaking, the term "periodontal disease" is used to describe the production of harmful factors and bacterial growth that, over time, attack the tissue that surrounds and supports the teeth and the term "periodontal" refers to "around the tooth" (Lewis 2002:16)

Periodontal Health Definition of Calculus


As the term implies, supragingival calculus refers to calculus located above the gumline ("Calculus removal" 2010). Supragingival calculus is not regarded as being a direct cause of periodontal disease; in addition, there has been a decrease in prevalence levels of calculus levels in recent years due in part to decreased tobacco use, improvements in oral cleanliness and the increased use of anti-tartar and therapeutic toothpastes (Sheiham 2001)

Periodontal Health Definition of Calculus


Moreover, the study groups in the studies seem to have been poorly defined" (Cooley & Lewkowicz 2003:63). The results of a more recent randomized clinical and microbiological slit-mouth design study (Stelzel & Flories-de-Jacoby 1996) concerning the efficacy of metronidazole 25% dental gel compared to subgingival scaling on recall subjects showed that there were no statistically significant differences between the two treatment modalities

Periodontal Health Definition of Calculus


According to these researchers, "Some confusion may have no detrimental impact on the dental health of the adolescents. For example, not fully understanding the difference between plaque and calculus, and the functions of dental sealant and fluoride, may not necessarily contribute to poor dental health as long as a proper daily oral hygiene routine with fluoridated toothpaste is maintained" (Yuen et al

Mamikon\'s Approach to Teaching Calculus


A more thorough and elegant explanation of the same concept is provided on Mamikon;s paper (with Apostol) entitled "Subtangents -- An Aid to Visual Calculus." Again, Mamikon starts with a visual explanation of the principle, but goes on to detail this principles work in calculus (Apostol & Mamikon 2002)

Mamikon\'s Approach to Teaching Calculus


A more thorough and elegant explanation of the same concept is provided on Mamikon;s paper (with Apostol) entitled "Subtangents -- An Aid to Visual Calculus." Again, Mamikon starts with a visual explanation of the principle, but goes on to detail this principles work in calculus (Apostol & Mamikon 2002)

Calculus in Architecture: How Architects Use Calculus


The architects use integral calculus to determine how the areas will be painted, and the amount of cubic feet of paint that will be required. 2) The calculation of limits and dimensions The calculation of the limit of a function in calculus identifies the relationship between limits and continuity by utilizing the fundamental notions of convergence of infinite series and sequencers within defined limits (Kuttler, 2011)

Calculus in Architecture: How Architects Use Calculus


To better understand how calculus is used in everyday life, this text takes a look at the three major ways it is applicable in architecture. Applications of calculus in architecture 1) To calculate weight and materials needed for constructions When designing different designs and buildings, the materials to be used have to be assembled and weighed beforehand in accordance with the design, environmental concerns, and the structural elements (Ross and Hetreed, 2008)

Calculus in Architecture: How Architects Use Calculus


The authors state that elastic deformation of material and the effect of what is being carried may cause deflection of the structural element. Therefore, calculus enables the architects to identify the deflection limits of materials and the limits that are necessary for the erection of safe buildings 3) Aesthetic uses Aesthetics is the principle of architecture concerned with the beauty of a design (Williams, 2010)

Calculus - Wikipedia


Calculus (from Latin calculus, literally "small pebble used for counting on an abacus") is the mathematical study of continuous change, in the same way ...

Calculus for Beginners - MIT Mathematics


Calculus for Beginners and Artists . Chapter 1 Why Study Calculus? Chapter 2 Numbers; Chapter 3 Linear Functions; Chapter 4 Quadratics and ...

Textbook | Calculus Online Textbook | MIT OpenCourseWare


Highlights of Calculus. MIT Professor Gilbert Strang has created a series of videos to show ways in which calculus is important in our lives. The videos, which ...