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Concept

Mathematics education

Related lectures (31)

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.

Analyse II 2021: Course Organization

Covers the organization of the Analyse II course for 2021, including webinars, exercises, and the final exam.

Variance Reduction Techniques

Covers variance reduction techniques in optimization, focusing on gradient descent and stochastic gradient descent methods.

Problem Solving: Learning Strategies MOOC: Learning to study science and engineering

Emphasizes the impact of problem-solving methods on learning outcomes and the importance of algorithmic thinking skills.

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.

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.

Primal-dual Optimization: Extra-Gradient Method

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

Programming Thymio with Aseba Studio MOOC: The Thymio robot as a tool for discovering digital science

Demonstrates students using Aseba Studio to learn programming basics and computational thinking through math-related activities.

Inductive Series

Covers the concept of inductive series and their convergence conditions.

Bernoulli's Hospital Rule MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Covers the statement of the Bernoulli's Hospital Rule and its application.

Duplication of the Cube

Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Integrals of Paths

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

Taylor Polynomial: Order 2

Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.

Integration by Parts: Taylor Series Development

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

Inequality Resolution: x + 4 / 2x + 1

Focuses on solving an inequality using a sign table method.

Nonlinear Systems: Equations and Solutions

Explores solving nonlinear systems of equations using Newton's method.

Implicit Functions and Taylor Polynomials

Covers implicit functions, Taylor polynomials, and tangent equations.

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.