Calculus Essays and Research Papers

Instructions for Calculus College Essay Examples

Title: Derivatives and definite integral

  • Total Pages: 2
  • Words: 688
  • Works Cited:2
  • Citation Style: APA
  • Document Type: Essay
Essay Instructions: Calculus grew out of four major problems that European mathematicians were working on during the seventeenth century:

1. The tangent problem.
2. The velocity and acceleration problem.
3. The maximum and minimum problem.
4. The area problem.

Write an essay about how derivatives and the definite integral are used to solve the above problems. Specifically, the following items must be included:

1. How does the tangent line evolve from the secant line and how does the derivative relate to the tangent line?
2. How are derivatives used to solve velocity and acceleration problems?
3. How are derivatives used to solve maximum and minimum problems?
4. How is the definite integral used to solve area problems?

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Excerpt From Essay:
Works Cited:

Nave, 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. http://www.math.ucdavis.edu, Retrieved January 25, 2011

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

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Title: Math

  • Total Pages: 3
  • Words: 1264
  • Bibliography:0
  • Citation Style: MLA
  • Document Type: Research Paper
Essay Instructions: Total sources requested = 4 (2 internet)

Project for the semester. Every person will be required to do a project as outlined here. Pick a topic that interests you. The topic must deal with calculus in some way. Using a minimum of four source materials other than the text (this could include magazine articles, books, but must include at least two sources from the INTERNET and two non-Internet sources), explain the topic and how calculus helps answers the problem or how calculus is leading toward a solution or makes it easier than prior techniques to solve the problem. The grading is as follows: with a minimum of three pages, typed or legibly handwritten is acceptable, define and expand on the problem (40 points for choice, clarification and definition of the problem), expand on the solution or progress toward the solution (40 points), solve the problem or show how calculus is progressing toward a solution (10 points), 10 points for research paper form (spelling, sentence structure, readability, etc.) for a total of 100 points. Note that a biography of a mathematician is generally not acceptable. The paper must contain some type of a problem which is in some way relevant to society (this could be a society from history or a current society) and progress towards a solution. Note: there need be no calculations included in your paper but you may include calculations if they are necessary.

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Bibliography:

References

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

Hilton, Peter. Calculus and analytical mechanics in the Age of Enlightenment. Canadian Journal of History. December, 1998. Vol: 12; No: 1; pp: 26-28.

Lambda Calculus. Wikipedia, the free encyclopedia. Retrieved at http://en.wikipedia.org/wiki/Lambda_calculus. Accessed on 23 June, 2005

Marrongelle, Karen a. How Students use Physics to reason about Calculus Tasks. School Science and Mathematics. 2004. Vol. 104. No: 2; pp: 30-34

Philosophical problems with calculus. Retrieved at http://www.friesian.com/calculus.htm. Accessed on 23 June, 2005

Preparing for University Calculus: At Atlantic Canadian Universities. Retrieved at http://www.math.mun.ca/~apics/calculus/welcome.php#Sec2Accessed on 23 June, 2005

Quick Math: Automatic Math Solutions. Retrieved at http://www.quickmath.com/www02/pages/modules/calculus/index.shtml. Accessed on 23 June, 2005

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Title: How does my Calculus class help or relate to a Business Management Major

  • Total Pages: 3
  • Words: 824
  • Sources:0
  • Citation Style: APA
  • Document Type: Essay
Essay Instructions: I need an essay on How does calculus which is the class I am taking this semester help or relate to my major which is Business Management.

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Title: Advanced Calculus

  • Total Pages: 5
  • Words: 1309
  • References:0
  • Citation Style: MLA
  • Document Type: Research Paper
Essay Instructions: Introduction:

As you begin to study more advanced calculus topics, it is important to understand concepts that include the use of indefinite integrals, definite integrals, and sequence analysis methods within a variety of applications. The purpose of this task will be to help you review these concepts within selected applications.

Task:

Write a brief essay (suggested length of 4??"5 pages) in which you do the following:

A. Define the concept of the indefinite integral using its formal definition.
1. Explain, in language that high school students could understand, what the formal definition of an indefinite integral is.
2. Provide an example that is relevant to the discussion and supports all claims.

B. Define the concept of the definite integral using its formal definition.
1. Explain, in language that high school students could understand, what the formal definition of a definite integral is.
2. Provide an example that is relevant to the discussion and supports all claims.

C. If you use sources, include all in-text citations and references in APA format

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References:

References

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

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

Hoffmann L.D & Bradley G.L (2000) Calculus for social and life sciences. 7th Edition. McGraw Hill Madison

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