Program Schedule:
Date: November 25, 2022 (Friday)
Registration: 8:00 am to 9:00 am.
Inauguration: 9:00 am to 9.30 am.
Exam: 10:00 am to 12:00 pm
Prayer and lunch break: 12:00 pm to 2:30 pm
Result and certificate-giving ceremony: 4:00 pm to 5:00 pm
Venue: Independent University, Bangladesh, Dhaka – 1212

Subjects of the contest
The competition is planned for students completing their first, second, third, or fourth year of university for
the regional education with a maximum age of participants being 23 years of age at the time of the
competition, although exceptions can be made. There is no minimum age limit. Problems are from the
fields of Algebra, Analysis (Real and Complex), Analytic Geometry, and Combinatorics. The working
language is English. The Short course contents are as follows:

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, Eigensystem, Annihilators, Adjoints, Operators, Applications); Groups, Rings, and fields.

2. Analysis (Real and Complex): Infinite Series; Convergence; Complex Integration; Bilinear
transformations; Single Variable Calculus, Multivariable Calculus, and Vector Calculus (Theorems of
Green, Gauss, Stokes) and their applications (Differentiation and integration). Modeling 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.