Lectures related to Programming Thymio with Aseba Studio

The Fourth Pillar of Culture: Informatics

Explores informatics as the fourth pillar of culture, its evolution, integration into society, and applications in modern physics and mathematics.

Introduction to Numerical Analysis

Introduces a course on numerical analysis, covering its importance, the MOOC, MATLAB, and Jupyter notebooks.

Programming Thymio for Mathematics MOOC: The Thymio robot as a tool for discovering digital science

Demonstrates programming Thymio robot for mathematical tasks using Aseba Studio.

Ecoles Vaudoises: Programme d'activités 'PLUS'

Introduces the new program 'PLUS' for Vaud school students, offering diverse workshops.

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Optimization Methods: Convergence and Trade-offs

Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.

Optimal Transport: From Theory to Applications

Explores the history, theory, and applications of optimal transport in various fields, showcasing its importance in solving complex mathematical problems.

Primal-dual Optimization: Extra-Gradient Method

Explores the Extra-Gradient method for Primal-dual optimization, covering nonconvex-concave problems, convergence rates, and practical performance.

Discriminant Analysis: Bayes Rule

Covers the Bayes discriminant rule for allocating individuals to populations based on measurements and prior probabilities.

Principal Components: Properties & Applications

Explores principal components, covariance, correlation, choice, and applications in data analysis.

Copulas: Properties and Applications

Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.

Generalization in Deep Learning

Explores generalization in deep learning, covering model complexity, implicit bias, and the double descent phenomenon.

Inductive Series

Covers the concept of inductive series and their convergence conditions.

Example Type 3 MOOC: Analysis I MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)

Covers changing variables in integrals with a focus on exponential functions.

Derivatives and Continuity in Mathematics

Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.

Integrals of Paths

Covers the concept of integrals of paths with examples and applications.

Inequality Resolution: x + 4 / 2x + 1

Focuses on solving an inequality using a sign table method.

Integration by Parts: Taylor Series Development

Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.

The Intermediate Value Theorem MOOC: Analysis I MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Robotics Kinematics

Covers rotation matrices, translations, and direct geometric modeling of serial robots, including the Denavit-Hartenberg parameters and the sequence of movements for a 6 DOF robot.