Mini-Courses and Round Tables

The mini-courses and round tables will take place on May 4, 5, 7, and 8, with a total duration of 3 to 6 hours per mini-course and 1h30 per round table.

Round Tables

• May 4: Round Table: “Mathematics and the Job Market”
  The objective is to promote an exchange of experiences among alumni and invited professors working in various fields, such as finance, technology, research, and education. The round table will be an opportunity to discuss the different applications of mathematics in the job market and how the skills acquired during the course are applied in diverse professional contexts.
  
  

• May 6: Round Table: “Future Organizations of the Event”
  With the participation of some invited external members, the objective is to discuss possibilities for expanding the event to other countries, such as Chile, Colombia, and Spain, where the event may be organized in future editions.
  
  

Mini-Courses

• Mini-Course 1: Qualitative Theory of Differential Equations: Periodic Solutions for Differential Equations
  This mini-course will explore a series of techniques to prove the existence (or non-existence) of periodic orbits for differential equations, with applications in mathematical models in biology and engineering.
  Special attention will be given to studying the existence and number of limit cycles in Filippov systems (discontinuous ordinary differential equations) and in Abel equations. Both analytical and numerical methods will be discussed, along with computational issues.
  
  

• Mini-Course 2: Introduction to Complex Dynamics
  This mini-course will provide an introduction to complex dynamics, addressing nonlinear dynamical systems and their applications. Specifically, it will introduce complex dynamics through the study of the quadratic polynomial z ↦ z² + c and the construction of the Mandelbrot set.
  The fundamental notions of Julia and Fatou sets will be discussed, with emphasis on their topological properties.
  
  

• Mini-Course 3: From Theory to the Classroom
  This mini-course presents an innovative approach to teaching mathematics, based on Yves Chevallard’s Anthropological Theory of Didactics (ATD), with a focus on the implementation of Study and Research Paths (SRP) as a didactic strategy that links theory and practice in teacher education.
  The approach shifts the focus from the mere transmission of knowledge to a dynamic of joint investigation between teachers and students, in which mathematical knowledge is constructed from generating questions that emerge from real or socially significant situations.
  
  

• Mini-Course 4: Introduction to Manim (Python)
  This mini-course introduces the Python library created by Grant Sanderson and popularized through the YouTube channel 3Blue1Brown. This powerful tool can be used for more modern teaching approaches or even for simulations in research projects.