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Essay

Pages:
3
Words:
824

Being able to "crunch the numbers" is an essential part of the manager's role. Too often managers feel uncomfortable working with numbers because of their limited mathematical background. This reduces their usefulness, however. Strong managers are not intimidated by the numbers, but rather view them as an essential component of the job. Therefore, part of the process of studying business management is to build the set of tools that will allow a manager to confidently approach all aspects of the job.

At its heart, calculus is the study of change. The concept of change is a major part of the…...

Essay

Pages:
3
Words:
1264

(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'. Although Newton used and preferred to use geometrical methods to algebraic equations, calculus methods had come into importance. However, calculus was not widely accepted at the time, and there…...

mlaReferences

Cadena, Juan; Travis, Betty; Norman, Sandy. An evaluation of Reform in the teaching of calculus. Mathematics and Computer Education. Spring, 2003. Vol: 16; No: 2; pp: 74-77.

Dosemagen, Debra M; Schwalbach, Eileen M. Developing Student Understanding: Contextualizing Calculus Concepts. School Science and Mathematics. 2000. Vol. 100; No: 1; pp: 53-57

Essay

Pages:
5
Words:
1309

Calculus and Definitions of Its Concepts

Indefinite integration

Indefinite integration is the act of reversing any process of differentiation. It is the process of obtaining a function from its derivative. It is also called anti-derivative of f. A function F. is an anti-derivative of f on an interval I, if F'(x) = f (x) for all x in I. A function of F (x) for which F'(x)=f (x), this means that for every x domain of f is said to be an anti-derivative of f (x)

The anti-derivative of a derivative is the original function plus a constant. In most cases indefinite integral…...

mlaReferences

Buck C.R. (2003) Advanced Calculus, 3rd Edition Waveland Press Inc. Illinois

Decker R. (1996) Calculus, Prentice Hall, Upper Saddle River, New Jersey

Essay

Pages:
10
Words:
3205

Nevertheless, an individual may prefer to have this type of calculus removed for other reasons or otherwise as part of a long-term treatment regimen. For example, Bennett and Mccrochan note that, "When the American Dental Association later approved Warner-Lambert's mouthwash, Listerine, by stating that 'Listerine Antiseptic has been shown to help prevent and reduce supragingival plaque accumulation and gingivitis. . ., ' sales rose significantly" (1993:398). It remains unclear, though, what effect, if any, that supragingival calculus has on gingival inflammation. For instance, Mandel and Gaffar report that, "Although there is no doubt that gingivitis can develop in the…...

mlaReferences

Alaluusua, S., Calderara, P., Gerthoux, P.M., Lukinmaa, P.L., Kovero, O., Needham, L.,

Patterson, D.G., Tuomisto, J. & Mocarelli, P. 2004 "Developmental dental aberrations after the dioxin accident in Seveso." Environmental Health Perspectives 112(3): 1313-

Essay

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2
Words:
638

Mamikon even takes this simple observation about curves to establish a new relationship between the tractrix and exponential curves (Apostol & Mamikon 2002).

Mamikon's visual understanding and explanation of calculus is not limited to two-diemnsional curves, nor does he concern himself only with new insights into mathematical relationships. In another paper, again published with Apostol, Mamikon established new proofs for Archimedes' discoveries concerning polyhedrons and their circumscribing prisms (Apostol & Mamikon 2004). Again, his explanation abounds with visual examples, clearly shaded in various tones to correlate areas and volumes for an easy understanding of the relationships Mamikon is describing. The…...

mlaReferences

Apostol, T. & Mamikon, M. (2002). "Subtangents -- An Aid to Visual Calculus." The American Mathematical Monthly, 109(6), pp. 525-33.

Apostol, T. & Mamikon, M. (2004). "A Fresh Look at the Method of Archimedes." The American Mathematical Monthly, 11(6), pp. 496-508.

Essay

Pages:
2
Words:
452

The semi-minor and semi-major axis are easily determined, and can then be subbed into the standard equation for an ellipse. Taking the square root of y will result in a plus/minus, and discarding the minus erases the lower half of the ellipse. The long axis extends horizontally, and the short axis extends vertically. The x and y axis bisects the ellipse already, so both a and B. are available: 525' and 350'.

The width of the channel is, once again, determined by inputting a known point.

Hence, the semi-elliptic bridge allows 315 ft of clearance from the centerline, or 630 ft…...

Essay

Pages:
2
Words:
688

Derivatives and Definite Integrals

Word Count (excluding title and works cited page): 628

Calculus pioneers of the seventeenth century such as Leibniz, ewton, Barrow, Fermat, Pascal, Cavelieri, and Wallis sought to find solutions to puzzling mathematical problems. Specifically, they expressed the functions for derivatives and definite integrals. Their areas of interest involved discussions on tangents, velocity and acceleration, maximums and minimums, and area. This introductory paper shall briefly introduce four specific questions related to these problems and the solutions that were sought.

In calculus, how a function changes in response to input is measured using a derivative. The derivative of a function is…...

mlaNave, R. Derivatives and integrals. Hyper Physics, Retrieved from http://hyperphysics.phy-astr.gsu.edu

Kouba, D.A. The Calculus Page, U.C. Davis Department of Mathematics. Retrieved January 25, 2011http://www.math.ucdavis.edu ,

Weisstein, E. Wolfram Mathworld. Retrieved January 25, 2011http://mathworld.wolfram.com ,

Essay

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3
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Smoking rates do seem to be down, as a result of sin taxes and smoking bans in public areas like restaurants.

However, although this might be an example of when Bentham's moral science might seem to work (although it is controversial how helpful mandatory sentences may be) it is hard not to think of a familiar phrase: "one man's meat is another man's poison" -- in short, what gives pleasure to some might not give pleasure to all. A good example of this might be a child who is starving for parental attention. The child begins to 'act out' and…...

Essay

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3
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870

The probability that both a and B. will occur is different from the probabilities that a will occur and that B. will occur.

Refer to the following data to answer questions 7 and 8. Just the answer

A random sample of song playing times in seconds is as follows:

7. Find the standard deviation. 28.65

8. Are any of these playing times considered unusual in the sense of our textbook? Explain. Does this differ with your intuition? Explain. The longest playing time, 293 seconds, could be considered somewhat unusual in that it is more than 1.5 standard deviations away from the mean, meaning…...

Essay

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3
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874

During my junior year, I decided to undergo a significant change in my educational career, which is to transfer from Los Angeles to San Francisco. My decision to transfer to another school was anchored on two objectives. My first objective was to transfer to a school where I will develop my knowledge and know my limits in studying, particularly in the field of natural science. My second objective, meanwhile, was to attend a school that has a curriculum structure and format that complements my needs -- that is, to attend classes centering on natural science and mathematics.

It was noticeable during…...

Essay

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10
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2688

Note the distinct similarities.

An examination of Escher's Circle Limit III can thus tell us much about distance in hyperbolic geometry. In both Escher's woodcut and the Poincare disk, the images showcased appear smaller as one's eye moves toward the edge of the circle. However, this is an illusion created by our traditional, Euclidean perceptions. Because of the way that distance is measured in a hyperbolic space, all of the objects shown in the circle are actually the same size. As we follow the backbones of the fish in Escher's representation, we can see, then, that the lines separating one…...

mlaWorks Cited

Corbitt, Mary Kay. "Geometry." World Book Multimedia Encyclopedia. World Book, Inc., 2003.

Dunham, Douglas. "A Tale Both Shocking and Hyperbolic." Math Horizons Apr. 2003: 22-26.

Essay

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2
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675

I intend to pursue a career in medicine, a career that I regard as a calling as well as an aspiration. My sports activities have disciplined me, toughened me, and honed my competitive instincts in a way that I believe is necessary for pre-medical studies, and later, perhaps, for medical school. I intend to enter the health care field, either a practitioner, or perhaps from a business angle, as I have grown convinced, after seeing my own family's struggle with the bureaucratic aspects of the American medical system, that there is a need for an infusion of compassion and…...

Essay

Pages:
1
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306

During my two years at the Sias Marketing Group, I have put the theories I learn every day into practice through various company projects. In these projects, I am often in charge of bringing together statistical data on marketing projects for analysis and further examination. While analyzing this data with the senior management of the corporation, I have gained valuable experience in the practical use of mathematics in combination with economic theories. I enjoy this type of work very much, and hope to continue to gain more experience and knowledge for my continued career success.

I feel my education and…...

Essay

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2
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713

Personal Statement for Pharmacy School

Pharmacy School is highly important to me as part of my career path, and I believe I am both personally and professionally well-qualified to attend and be successful. I have work experience in the pharmaceutical field, having worked at my aunt's pharmacy in the past. This work taught me a great deal about pharmacy as a profession, but also gave me a lot of insight about how to properly treat patients and interact with others. I consider myself more well-rounded because of the interaction I had with so many people during my time at the pharmacy.…...

Essay

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2
Words:
573

Pharmacy Personal Statement

Over the course of my life, I have been confronted with many obstacles, yet one core passion has kept me focused: that of my desire to enter the medical profession as a pharmacist. I came to the United States when I was seventeen, relatively late to enter the U.S. school system, but I was still able to become a part of the Honors Program at the College of the Canyons as a pre-pharmacy major, with a focus in chemistry. I had already worked at my aunt's pharmacy, and seeing how the work of a pharmacist could make such…...

Q/A

Words: 512

Unit Lesson Essay Topic Ideas

History

The Causes and Consequences of the American Civil War: Analyze the complex factors that led to the outbreak of the American Civil War and explore its far-reaching social, political, and economic consequences.

The Impact of the Industrial Revolution on European Society: Examine the technological, economic, and social changes brought about by the Industrial Revolution, considering its effects on workers, urbanization, and the balance of power.

The Rise and Fall of the Roman Empire: Investigate the reasons for the rise and eventual decline of the Roman Empire, analyzing its political, social, military, and economic strengths and....

Q/A

Words: 215

1. The Impact of Slave Compromises on American History

2. Negotiating Freedom: The Role of Compromises in the Slave Experience

3. The Morality of Slave Compromises: Ethical Dilemmas in the Antebellum South

4. Balancing Act: How Slaves Navigate Compromises for Survival

5. The Power Dynamics of Slave Compromises: Agency and Resistance

6. Compromising Identity: How Slaves Adapted to Forced Negotiations

7. A Necessary Evil? Examining the Justifications for Slave Compromises

8. Repercussions of Slave Compromises: Legacy and Memory

9. Breaking the Chains: How Slave Compromises Led to Liberation

10. From Oppression to Empowerment: The Evolution of Slave Compromises

11. The Political Calculus of Slave Compromises: A Critical Analysis

12. The Psychological....

Q/A

Words: 223

1. The Fibonacci sequence and its applications in physics

2. Chaos theory and its implications for understanding complex systems in physics

3. The role of symmetry in modern physics

4. Fractal geometry and its applications in modeling natural phenomena

5. The use of wave equations in describing physical processes

6. The concept of infinity in calculus and its significance for physics

7. The mathematical foundations of quantum mechanics

8. Differential equations and their role in modeling physical systems

9. The geometry of spacetime in general relativity

10. The role of group theory in understanding the fundamental forces of nature

11. The applications of calculus in solving problems in classical mechanics

12.....

Q/A

Words: 209

One potential essay topic could be exploring the role of abstract mathematical concepts in developing new theories and models in physics. This could involve discussing how abstract mathematical structures, such as group theory or differential geometry, have been used to describe and understand physical phenomena in innovative ways. Additionally, you could examine how the interplay between abstract mathematics and physics has led to the discovery of new principles and relationships in the natural world. Finally, you could also consider the philosophical implications of the use of abstract mathematics in physics, and how it challenges our understanding of reality and the....

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