International Day of Mathematics is celebrated on March 10

The Mathematics Department is inviting you to celebrate the International Day of Mathematics on Friday, March 10 from 1 p.m. to 4 p.m in Room 5B.16

We would like to invite everybody to attend these presentations.

Organizing committee: Alexander Hariton, Varuzhan Ohanyan, Andreea Panait and Shahab Shahabi

Schedule

• On Three Geometric Enigmas of Antiquity- Professor Shahab Shahabi

1 p.m. to 1:35 p.m.

Abstract: We shall explore the impossibility of the geometric construction by ruler and compass of: (i) Doubling the Cube, (ii) Trisecting the Angle, and (iii) Squaring the Circle. The solutions (mainly due to Gauss) to these very old problems gave birth to the modern theory of algebraic field extensions.

• Lagrange’s Four-Square Theorem- Isa Shafique (Enriched Science student)

1:35 p.m. to 1:55 p.m.

• Fermat’s Theorems – Samuel Fisher (Ph.D. student – Oxford University)

1:55 p. m. to 2:30 p.m.

• Unique Factorization of Polynomials and Partial Fractions – Professor Alexander Hariton

2:40 p.m. to 3:10 p.m.

Abstract: In this talk, I will prove that a nonconstant real polynomial can be uniquely expressed as a product of linear and irreducible quadratic monic factors times a constant. I will then show how any proper rational function can be expressed as a sum of partial fractions.

• Statistics and Critical Thinking- Robin Moore (McGill University student)

3:10 p.m. to 3:40 p.m.