International Mathematical Olympiad
The Mathematics Olympiad Programme in India leading to participation in the International Mathematics Olympiad is organized by the Homi Bhabha Centre for Science Education (HBCSE) on behalf of the National Board of Higher Mathematics (NBHM) of the Department of Atomic Energy (DAE).
The Chemistry Olympiad program follows the following 5 stages:
- Stage I: Regional Mathematical Olympiad (RMO)
- Stage II:Indian National Mathematical Olympiad (INMO),
- Stage III:International Mathematical Olympiad Training Camp (IMOTC),
- Stage IV:Pre-departure Training Camp for IMO,
- Stage V:International Mathematical Olympiad (IMO).
The RMO will be held on the first Sunday of December this year (December 05, 2010) between 1.00 pm and 4.00 pm for all the regions. The Regional Coordinators are given the responsibility of conducting the RMO in their respective regions. All school students from Class XI are eligible to appear for the RMO. Students from Class XII may also appear for the RMO, but the number of students selected from Class.
XII can be at most 6. Exceptionally brilliant students from any school(Classes VIII, IX and X) may also take the RMO at the discretion of the Regional Coordinator. The RMO is a 3-hour written test containing 6 to 7 problems. On the basis of the performance in RMO, a certain number of students from each region is selected for the Stage 2. The Regional Coordinators may charge a nominal fee to meet the expenses for organizing the contest.
The INMO will be held on first Sunday of February (February 06, 2011) between 1.00 pm and 5.00 pm at the centres in the different regions. Only those students who areselected in the RMO are eligible to appear for the INMO. This contest is a 4-hour written test. On the basis of the INMO, the 30-35 students from all over the country become INMO awardees and receive a Certificate of Merit. (A maximum of 6 students of Class XII can be INMO awardees.)
The INMO awardees are invited to a month long training camp in April-May each year at the Homi Bhabha Centre for Science Education (HBCSE), Mumbai. The INMO awardees of the previous year who have satisfactorily gone through postal tuition throughout the year are invited again to a second round of Training (Senior Batch). The senior batch participants who successfully complete the camp receive a prize of Rs. 5,000/- in the form of books and cash. On the basis of a number of selection tests through the Camp, a team of the best six students is selected from the combined pool of junior and senior batch participants.
The selected team of six students goes through another round of training and orientation for about 10 days prior to departure for IMO.
The six member team selected at the end of IMOTC accompanied by a leader, a deputy leader and an observer represents the country at the IMO, held in July each year in a different member country of the IMO. The IMO contest consists of two 4 and 1/2-hour written test held on two days . Travel to the IMO venue and return takes about two weeks. India has been participating in the IMO since 1989. Students of the Indian Team who receive gold, silver and bronze medals at the IMO receive a cash prize of Rs. 5000/-, Rs. 4000/- and Rs. 3000/- respectively at a formal ceremony at the end of the training Camp during the following year.
Ministry of Human Resource Development (MHRD) finances international travel of the team, the leader and the deputy leader, while NBHM(DAE) finances the other expenditure connected with the international participation and the entire in-country programme.
Students aiming to go through the Mathematical Olympiad programme leading to international participation (IMO) should note that RMO is the first essential step for the programme. To appear for the RMO, the students should get in touch with the RMO co-ordinator of their region well in advance for enrolment and payment of stipulated (nominal) fees.
Prof H. C. Pradhan
The syllabus for mathematics olympiad (regional, national and international) is pre-degree college mathematics. The areas covered are arithmetic of integers, geometry, quadratic equations and expressions, trigonometry, co-ordinate geometry, systems of linear equations, permutations and combinations, factorisation of polynomials, inequalities, elementary combinatorics, probability theory and number theory, finite series and complex numbers and elementary graph theory. The syllabus does not include Calculus and Statistics. The major areas from which problems are given are number theory, geometry, algebra and combinatorics. The syllabus is in a sense spread over Class IX to Class XII levels, but the problems under each topic are of exceptionally high level in difficulty and sophistication. The difficulty level increases from RMO to INMO to IMO.
A good idea of what is expected of students in mathematical olympiad can be had from the following books :
- Problem Primer for the Olympiads
- Challenge and Thrill of Pre-College mathematics
- An Excursion in Mathematics
- Problem Solving Strategies
- Functional Equations
- Mathematical Circles: Russian Experience
C.R. Pranesachar, B.J. Venkatachala and C.S. Yogananda (Prism Books Pvt. Ltd., Bangalore, 2008)
V. Krishnamurthy, C.R. Pranesachar, K.N. Ranganathan and B.J. Venkatachala (New Age International Publishers, New Delhi - 2007).
Editors: M. R. Modak, S.A. Katre and V.V. Acharya (Bhaskaracharya Pratishthana, Pune, 2008).
Arthur Engel (Springer-Verlag, Germany, 1999).
B.J. Venkatachala (Prism Books Pvt. Ltd., Bangalore, 2008).
Fomin and others (University Press, Hyderabad, 2008).
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