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The Integration Bee is an annual
integral calculus In mathematics, an integral assigns numbers to Function (mathematics), functions in a way that describes Displacement (geometry), displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding ...
competition pioneered in 1981 by Andy Bernoff, an applied mathematics student at the
Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...
(MIT).2014 MIT Integration Bee
/ref> Similar contests are administered each year in many universities and colleges across the United States and in a number of other countries.


Rules and conventions

Prospective participants may first need to take a qualifying exam. The contest is then arranged in a manner similar to a sports tournament, with those who incorrectly evaluate integrals after a certain number of trials are eliminated. Constants of integration may be ignored, but the final answer must be in reduced form and in terms of the original variable. At some institutions, such as MIT, contestants will evaluate assigned integrals on a chalkboard in front of the audience. In some others, such as the
University of Connecticut The University of Connecticut (UConn) is a public land-grant research university in Storrs, Connecticut, a village in the town of Mansfield. The primary 4,400-acre (17.8 km2) campus is in Storrs, approximately a half hour's drive from Hart ...
, they may do so in their seats on paper. Contestants may either be all students from the hosting institution (such as MIT or the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
), undergraduates only (such as at the
University of Connecticut The University of Connecticut (UConn) is a public land-grant research university in Storrs, Connecticut, a village in the town of Mansfield. The primary 4,400-acre (17.8 km2) campus is in Storrs, approximately a half hour's drive from Hart ...
), or undergraduates and high-school students (such as at the
University of North Texas The University of North Texas (UNT) is a public research university in Denton, Texas. It was founded as a nonsectarian, coeducational, private teachers college in 1890 and was formally adopted by the state 11 years later."Denton Normal School," ...
). Participants are expected to be familiar with the standard methods of integration. Prizes are in cash, vouchers, and/or books.


U.S. competitions

Integration Bee contests continue to be held at MIT, with the champion awarded a hat carrying the title, "Grand Integrator." Integration Bee contests are now regularly conducted in major American universities, including the
University of Florida The University of Florida (Florida or UF) is a public land-grant research university in Gainesville, Florida. It is a senior member of the State University System of Florida, traces its origins to 1853, and has operated continuously on its ...
,
Florida Polytechnic University Florida Polytechnic University (Florida Poly) is a public university in Lakeland, Florida. Created as an independent university in 2012, it is the newest of the 12 institutions in the State University System of Florida. It is the state's only p ...
, the
University of Scranton The University of Scranton is a private Jesuit university in Scranton, Pennsylvania. It was founded in 1888 by William O'Hara, the first Bishop of Scranton, as St. Thomas College. In 1938, the college was elevated to university status and took t ...
,
Connecticut College Connecticut College (Conn College or Conn) is a private liberal arts college in New London, Connecticut. It is a residential, four-year undergraduate institution with nearly all of its approximately 1,815 students living on campus. The college w ...
,
Central Connecticut State University Central Connecticut State University (Central Connecticut, CCSU, Central Connecticut State, or informally Central) is a public university in New Britain, Connecticut, United States. Founded in 1849 as the State Normal School, CCSU is Connecticut ...
, the
State University of New York The State University of New York (SUNY, , ) is a system of public colleges and universities in the State of New York. It is one of the largest comprehensive system of universities, colleges, and community colleges in the United States. Led by c ...
, the
University of Wisconsin–Madison A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
,
Prairie State College Prairie State College is a public community college in Chicago Heights, Illinois. It is the only college operated by Illinois Community College District 515. History Founded in 1957 as Bloom Township Junior College, Prairie State College's (PSC ...
(Illinois), the
University of Illinois at Urbana–Champaign The University of Illinois Urbana-Champaign (U of I, Illinois, University of Illinois, or UIUC) is a public land-grant research university in Illinois in the twin cities of Champaign and Urbana. It is the flagship institution of the Universit ...
,
University of Dayton The University of Dayton (UD) is a private, Catholic research university in Dayton, Ohio. Founded in 1850 by the Society of Mary, it is one of three Marianist universities in the nation and the second-largest private university in Ohio. The univ ...
(Ohio),
Louisiana Tech University Louisiana Tech University (Louisiana Tech, La. Tech, or simply Tech) is a public research university in Ruston, Louisiana. It is part of the University of Louisiana System and classified among "R2: Doctoral Universities – High research activ ...
, the
University of North Texas The University of North Texas (UNT) is a public research university in Denton, Texas. It was founded as a nonsectarian, coeducational, private teachers college in 1890 and was formally adopted by the state 11 years later."Denton Normal School," ...
,
Brigham Young University Brigham Young University (BYU, sometimes referred to colloquially as The Y) is a private research university in Provo, Utah. It was founded in 1875 by religious leader Brigham Young and is sponsored by the Church of Jesus Christ of Latter-day ...
,
Utah Valley University Utah Valley University (UVU) is a public university in Orem, Utah. UVU offers master's, bachelor's, associate degrees, and certificates. Previously called Utah Valley State College, the school attained university status in July 2008. History ...
,
Fresno State University California State University, Fresno (Fresno State) is a public university in Fresno, California. It is one of 23 campuses in the California State University system. The university had a fall 2020 enrollment of 25,341 students. It offers bache ...
,
Cosumnes River College Cosumnes River College is a public community college in Sacramento, California. It opened in 1970, taking its name from the Cosumnes River which flows just a few miles to the south. As of Spring 2017, enrollment was at 13,091 students at its main ...
, the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
, various other institutions in California, and
Oregon State University Oregon State University (OSU) is a public land-grant, research university in Corvallis, Oregon. OSU offers more than 200 undergraduate-degree programs along with a variety of graduate and doctoral degrees. It has the 10th largest engineering co ...
. The Louisiana/Mississippi chapter of the
Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure a ...
is responsible for holding the Integration Bee in these two states and the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
at the University of Connecticut.


Non-U.S. competitions

A Philippine integration competition (often shortened as ''Integ Bee'') was originally held four times at the
University of the Philippines Diliman , image = University of The Philippines seal.svg , image_size = 175px , caption = Official Logo of UP Diliman , motto = Honor and Excellence , established = February 12, 194 ...
, located in
Quezon City Quezon City (, ; fil, Lungsod Quezon ), also known as the City of Quezon and Q.C. (read in Filipino as Kyusi), is the List of cities in the Philippines, most populous city in the Philippines. According to the 2020 census, it has a populatio ...
, and sponsored by UP Physics Association (UPPA). Subsequently, the competition was scaled up to allow undergraduates of other Philippine universities to participate.Integration Bee 2014: Into the Galaxy — first speed integration contest in Metropolitan Manila
/ref> One typical event in 2014 at the Philippine
National Institute of Physics The National Institute of Physics (NIP) was established in 1983 by Presidential Executive Order No. 889 which transformed the Department of Physics of the College of Arts and Sciences into one of the seven research and academic institutes of th ...
, allowed contestants to test their accuracy and speed, capability in mental solving, and mastery in evaluating integrals. The winner received a cash prize of 5,000
Philippine peso The Philippine peso, also referred to by its Tagalog name ''piso'' (Philippine English: , , plural pesos; tl, piso ; sign: ₱; code: PHP), is the official currency of the Philippines. It is subdivided into 100 ''sentimo'', also called ce ...
s (about €100 or US$113), whilst two runners-up received 1,000 pesos (about €20 or US$22).Integration Bee 2014: Into the Galaxy
/ref> The Integration Bee is also held at the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
,
University of New South Wales The University of New South Wales (UNSW), also known as UNSW Sydney, is a public research university based in Sydney, New South Wales, Australia. It is one of the founding members of Group of Eight, a coalition of Australian research-intensive ...
, Australia, and
Indian Institute of Science Education and Research, Pune Indian Institute of Science Education and Research, Pune (IISER Pune) is an autonomous public university established in 2006. It is one of the seven Indian Institutes of Science Education and Research, and was one of the first IISERs to ...
. The Bee held at Cambridge has participants from other British universities, including
University of Oxford , mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor ...
,
Imperial College London Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...
,
Durham University , mottoeng = Her foundations are upon the holy hills (Psalm 87:1) , established = (university status) , type = Public , academic_staff = 1,830 (2020) , administrative_staff = 2,640 (2018/19) , chancellor = Sir Thomas Allen , vice_chan ...
and
University of Warwick The University of Warwick ( ; abbreviated as ''Warw.'' in post-nominal letters) is a public research university on the outskirts of Coventry between the West Midlands (county), West Midlands and Warwickshire, England. The university was founded i ...
.


Impact

While integral calculus is no longer an actively researched topic in mathematics, there is some correlation between success in the integration bee and success in other areas of mathematics. On a more individual level the winners of the integration bee are held in high honor by their colleagues and professors alike.


See also

*
List of mathematics competitions Mathematics competitions or mathematical olympiads are competitive events where participants complete a math test. These tests may require multiple choice or numeric answers, or a detailed written solution or proof. International mathematics compe ...
*
William Lowell Putnam Mathematical Competition The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual list of mathematics competitions, mathematics competition for undergraduate college students enrolled at institutions of higher learning in th ...
*
Math circle A math circle is a learning space where participants engage in the depths and intricacies of mathematical thinking, propagate the culture of doing mathematics, and create knowledge. To reach these goals, participants partake in Problem solving, pro ...


References


External links


Integration Bee website

Facebook page of the Integration Bee

On-line portal, UP Physics Association

Twitter account, UP Physics Association
{{Integrals Mathematics competitions Student culture in the United States Awards by university and college in the United States Mathematical games University of the Philippines Diliman Massachusetts Institute of Technology