Eligibility Criteria
Academic Level: Students completing their first, second, third, or fourth year of university in regional education
Age Requirement: Maximum age of 23 years at the time of competition (exceptions may be granted)
Minimum Age: No minimum age limit
Working Language: English
Competition Structure
Examination Details
Evaluation: Students' work will be evaluated by the Script Evaluation Committee using criteria provided by the NUMO committee.
Syllabus & Course Contents
1. Algebra
- Real & Complex Number Systems
- Polynomials and algebraic equations
- Summation of algebraic and trigonometric series
- Inequalities
- Applications of DeMoivre's theorem
- Linear Algebra (Matrices and determinants, Basis and Dual basis, Linear transformations, Eigen system, Annihilators, Adjoints, Operators, Applications)
- Groups, Rings and Fields
2. Analysis (Real and Complex)
- Infinite series and Convergence
- Complex Integration
- Bilinear transformations
- Single variable Calculus
- Multivariable Calculus
- Vector Calculus (Theorems of Green, Gauss, Stokes)
- Differentiation and Integration applications
- Modelling with first and second order differential equations
- Special functions
3. Analytic Geometry
- Second degree equations
- Conics
- Planes and straight lines in 3D
- Conicoids
- Applications of geometry
4. Combinatorics
- Permutations and Combinations
- Primes
- Arithmetic functions
- Congruence
- Recurrence relations
- Generating functions
- Complexity
Important Notes
• Problems will be drawn from all four subject areas: Algebra, Analysis, Analytic Geometry, and Combinatorics
• Participants should have a thorough understanding of all topics listed in the syllabus
• Time management is crucial - allocate approximately 15 minutes per problem
• All answers must be written in English
• Clear, logical presentation of solutions is essential for maximum marks