Regional Mathematical Olympiad
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Regional Mathematical Olympiad
The Indian National Mathematical Olympiad (INMO) is a high school mathematics competition held annually in India since 1989. It is the third tier in the Indian team selection procedure for the International Mathematical Olympiad and is conducted by the Homi Bhabha Centre for Science Education (HBCSE) under the aegis of the National Board of Higher Mathematics (NBHM). The Mathematical Olympiad Program is a five stage process conducted under the aegis of National Board for Higher Mathematics (NBHM). The first stage PRMO is conducted by the Mathematics Teachers’ Association (India). All the remaining stages are organized by Homi Bhabha Centre for Science Education (HBCSE). Eligibility and participant selection process The INMO is conducted by the MO Cell which is held on the third Sunday of January at 30 centers across the country. Prospective candidates first need to write the Pre-Regional Mathematical Olympiad (known as PRMO or Pre-RMO) then the Regional Mathematical Olympiad of ...
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High School
A secondary school describes an institution that provides secondary education and also usually includes the building where this takes place. Some secondary schools provide both '' lower secondary education'' (ages 11 to 14) and ''upper secondary education'' (ages 14 to 18), i.e., both levels 2 and 3 of the ISCED scale, but these can also be provided in separate schools. In the US, the secondary education system has separate middle schools and high schools. In the UK, most state schools and privately-funded schools accommodate pupils between the ages of 11–16 or 11–18; some UK private schools, i.e. public schools, admit pupils between the ages of 13 and 18. Secondary schools follow on from primary schools and prepare for vocational or tertiary education. Attendance is usually compulsory for students until age 16. The organisations, buildings, and terminology are more or less unique in each country. Levels of education In the ISCED 2011 education scale levels 2 and 3 c ...
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Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ...
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KVPY
Kishore Vaigyanik Protsahan Yojana (English: ''Young Scientist Incentive Plan'') (KVPY) was a scholarship programme funded by the Department of Science and Technology of the Government of India, aimed at encouraging students to take up research careers in the areas of basic sciences. It offered scholarships and contingency grants up to the pre-Phd level to selected students. Begun in 1999, it was administered by the Indian Institute of Science. The students who qualified in the KVPY Exam were eligible for a fellowship as well as admissions into institutes like the IISc and the IISER based on additional criteria. This exam had 3 Streams: SA (Class 11), SX (Class 12), and SB (First year BSc). Streams SP Basic Sciences (Class 11, 12 and First-year BSc, BTech) and SP Medicine (First-year MBBS) were discontinued since 2012–13. On 18 July 2022, the KVPY website announced the decision of DST to subsume KVPY with INSPIRE. KVPY Aptitude test will not be conducted from the year 2022 onwa ...
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Indian Statistical Institute
Indian Statistical Institute (ISI) is a higher education and research institute which is recognized as an Institute of National Importance by the 1959 act of the Indian parliament. It grew out of the Statistical Laboratory set up by Prasanta Chandra Mahalanobis in Presidency College, Kolkata. Established in 1931, this unique institution of India is one of the oldest institutions focused on statistics, and its early reputation led it to being adopted as a model for the first US institute of statistics set up at the Research Triangle, North Carolina by Gertrude Mary Cox. Mahalanobis, the founder of ISI, was deeply influenced by the wisdom and guidance of Rabindranath Tagore and Brajendranath Seal. Under his leadership, the institute initiated and promoted the interaction of statistics with natural and social sciences to advance the role of statistics as a key technology by explicating the twin aspectsits general applicability and its dependence on other disciplines for its own d ...
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Chennai Mathematical Institute
Chennai Mathematical Institute (CMI) is a higher education and research institute in Chennai, India. It was founded in 1989 by the SPIC Science Foundation, and offers undergraduate and postgraduate programmes in physics, mathematics and computer science. CMI is noted for its research in algebraic geometry, in particular in the area of moduli of bundles. CMI was at first located in T. Nagar in the heart of Chennai in an office complex. It moved to a new campus in Siruseri in October 2005. In December 2006, CMI was recognized as a university under Section 3 of the University Grants Commission (UGC) Act 1956, making it a deemed university. Until then, the teaching program was offered in association with Bhoj Open University, as it offered more flexibility. History CMI began as the School of Mathematics, SPIC Science Foundation, in 1989. The SPIC Science Foundation was set up in 1986 by Southern Petrochemical Industries Corporation (SPIC) Ltd., one of the major industrial h ...
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IIT Bombay
The Indian Institute of Technology Bombay (IIT Bombay or IITB) is a public research university and technical institute in Powai, Mumbai, Maharashtra, India. It is considered as one of the best engineering universities in India and is top ranked Indian university in QS World University Rankings 2022 and 3rd in NIRF overall rankings 2022 as well as NIRF engineering rankings 2022. IIT Bombay was founded in 1958. In 1961, the Parliament decreed IITs as Institutes of National Importance. A committee formed by the Government of India recommended the establishment of four higher institutes of technology to set the direction for the development of technical education in the country in 1946. Planning began in 1957 and the first batch of 100 students was admitted in 1958. Since its establishment in Powai, the institute has physically expanded to include more than 584 major buildings with a combined area of more than 2.2 square kilometers. IIT Bombay is considered as one of the foremost ...
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Mumbai
Mumbai (, ; also known as Bombay — the official name until 1995) is the capital city of the Indian state of Maharashtra and the ''de facto'' financial centre of India. According to the United Nations, as of 2018, Mumbai is the second-most populous city in India after Delhi and the eighth-most populous city in the world with a population of roughly 20 million (2 crore). As per the Indian government population census of 2011, Mumbai was the most populous city in India with an estimated city proper population of 12.5 million (1.25 crore) living under the Brihanmumbai Municipal Corporation. Mumbai is the centre of the Mumbai Metropolitan Region, the sixth most populous metropolitan area in the world with a population of over 23 million (2.3 crore). Mumbai lies on the Konkan coast on the west coast of India and has a deep natural harbour. In 2008, Mumbai was named an alpha world city. It has the highest number of millionaires and billionaires among all cities i ...
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International Mathematical Olympiad Training Camp
The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. The first IMO was held in Romania in 1959. It has since been held annually, except in 1980. More than 100 countries, representing over 90% of the world's population, send teams of up to six students, plus one team leader, one deputy leader, and observers. The content ranges from extremely difficult algebra and pre-calculus problems to problems on branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as Projective geometry, projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required. Calculus, though allowed in solutions, is never required, as there is a principle that anyone with a basic understanding of mathematics should understand the problems, even if t ...
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Calculator
An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics. The first solid-state electronic calculator was created in the early 1960s. Pocket-sized devices became available in the 1970s, especially after the Intel 4004, the first microprocessor, was developed by Intel for the Japanese calculator company Busicom. Modern electronic calculators vary from cheap, give-away, credit-card-sized models to sturdy desktop models with built-in printers. They became popular in the mid-1970s as the incorporation of integrated circuits reduced their size and cost. By the end of that decade, prices had dropped to the point where a basic calculator was affordable to most and they became common in schools. Computer operating systems as far back as early Unix have included interactive calculator programs such as dc and hoc, and interactive BASIC could be used to do calculations on most 1970s a ...
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Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is gra ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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