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](_blank)
/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](_blank)
/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](_blank)
/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