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19
th
South Eastern European Mathematical Olympiad for University Students
SEEMOUS 2025
MARCH 4-9, Korçë, Albania
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Along the arrival
Opening Ceremony
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During the activity
Awards Ceremony
About
About SEEMOUS
About MASSEE
About AMA
About Korça
About Fan S. Noli
Travel
Accommodation
Contact
Sponsors
Menu
Home
Contest
Program
Problems
Results
Regulations
Instructions for students
Team list
Participants
Committees
Curricula
Registration Form
Gallery
Along the arrival
Opening Ceremony
Contest
During the activity
Awards Ceremony
About
About SEEMOUS
About MASSEE
About AMA
About Korça
About Fan S. Noli
Travel
Accommodation
Contact
Sponsors
Curricula
Calculus
Real and complex numbers.
Sequences and series of numbers.
Functions of one real variable: continuity, differentiability, Taylor formula, Riemann integral.
Sequences and series of functions: pointwise and uniform convergence; differentiability and integrability term by term.
Power series, elementary functions.
Improper Riemann integral, functions defined by integrals (Euler integrals).
Algebra and Geometry
General notions about some algebraic structures: groups, rings, fields.
General properties about polynomials with real and complex coefficients.
Finite dimensional vector spaces over real and complex numbers: base and dimension.
Linear transformations and matrices; eigenvalues, eigenvectors, diagonal form and applications.
Quadratic forms. Plane and and solid analytical geometry: linea, planes, conics, quadrics.