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Technical University of Civil Engineering in Bucharest (UTCB)

Bucharest Seminar

Date: June, 24 to 28, 2019

Place:Bucharest (Romania)
Room: I-2 and Computers room

For students from all partners' countries

Blended mobility of higher education students



03. Linear Algebra

01. Registration

02. Students presentation

04. Integral Sums

05. Statistics with R

06. Math. Induction

07. Learning with games

08. Statistics & MS excel

09. Wolfram Mathematica

10. GeoGebra

11. Some results

12. Cultural visit

Welcome to attendees

  • Registration
  • Opening of the Seminar
    (Araceli Queiruga Dios / USAL, Ion Mierlus-Mazilu / UTCB)
  • Presentation of the university and agenda (Ion Mierlus Mazilu / UTCB)



  • Each student will speak 3’ in his/her own language. The rest of students in that group should know what his country is.
    Students have 20’ for speaking in English and meet all of them in a “understandable” way.

Step by step

All the students will be separated into groups of 4-5 people, none from the same country.
Each student must fill a matrix (about the members of his/her group)

Students' presentation


Link to the file

Graph Theory is now a major tool in mathematical research.

Some Applications of Linear Algebra to Chemistry, Cryptography and Networks

Many problems can be modelled with paths formed by traveling along the edges of a certain graph. For instance

  • problems of efficiently planning routes for mail delivery,
  • garbage pickup, snow removal,
  • diagnostics in computer networks, and others,.

Fatih Yilmaz from Ankara HBV University


Linear Algebra


Some interesting applications

Importance of learning integration

Peter Letavaj from Slovak University of Technology in Bratislava


Link to the file

Integral Sums


Link to the file

Statistics with


R software

Start exploring R functions and commands for statistics:
> mean(data1$price)
> var(data1$price
> sd(data1$price)
> barplot(data1$price,las = 2)

R & statistics

    R is a free software environment for statistical computing and graphics.

Mathematical Induction as a tool

Marie Demlova from The Czech Technical University in Prague

Link to the file



Breakout for education

A Breakout is a escape game, where the goal is to open a padlocked box.
It is important to contextualize the challenge.

Games for learning

We proposed a game to learn Linear Algebra and Calculus.
To finish the game, students must find a password

Learning with games



Basic ideas about Statistics

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Statistics & MS excel


Michael Carr from TU Dublin



Wolfram Mathematica-training for solving math problems (Vector arithmetic, Matrices and determinants, Least squares curve fitting, Combinatorics) – Computers room.

Wolfram Mathematica


Atanas Valev Ivanov from University of Plovdiv Paisii Hilendarski (Bulgaria)


Link to the file

Víctor Gayoso from the Spanish national Research Council (Madrid)


Learning Engineering Mathematics with GeoGebra / Calculus

Computers room

Some problems to use geogebra

Solve an exam

Exam solution




Some results