Lectures related to Mathematical economics

Electromagnetism: UNIL-208

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Stochastic Simulation: Uncertainty Quantification

Explores uncertainty quantification using Quasi Monte Carlo methods and discrepancy measures for integral approximation and volume estimation.

Extended Josephson Junctions: Modeling and Critical Current

Covers the magnetic thickness, short and long junctions, and critical current.

Methodology of Mechanics

Explores the methodology of mechanics, including modeling, laws application, problem-solving, theory limitations, and the historical evolution of classical mechanics.

Supervised Learning with kNN: Regression Model

Covers a simple mathematical model for supervised learning with k-nearest neighbors in regression.

Replicas for Random Field Ising

Covers the concept of replicas for the random field Ising model, discussing various mathematical formulations and assumptions.

Dimensional Analysis of Explosions

Explores dimensional analysis of large explosions using recorded images to predict outcomes based on known parameters.

Initial Alignment: Derivation and Deduction

Covers the derivation of equations related to initial alignment and the deduction of various parameters.

Spin Glasses: Fully Connected

Covers the basics of spin glasses and the mathematical equations used to model them.

Pen-and-paper exercises: Session 4

Focuses on pen-and-paper exercises in computational analysis and problem-solving strategies.

Engineering model for capillary sorption

Presents an engineering model for capillary sorption in cementitious materials, focusing on simple experimental analysis and mathematical formulations.

Oil Convection Study

Studies the convection of oil in a baking dish.

Continuous-Time Stochastic Processes: PAM Signal Error Rate

Covers the application of continuous-time stochastic processes to the calculation of the error rate of a PAM signal.

Fresnel Integrals: Curvilinear Integrals in R^2

Explores Fresnel integrals through curvilinear integrals in R^2, focusing on cos(x²-y) and sin(x) functions.

Soil Water Dynamics: General Equations and Mathematical Modelling

Explores water dynamics in unsaturated soils, including Darcy's law extension and mathematical modelling.

Mathematical Rigor and Course Organization

Emphasizes mathematical rigor, clear communication, and exercise organization in teaching methods.

Mouvement dans le plan

Covers the prediction of physical events and mathematical relationships in physics.

Navigation Equation: Attitude Determination

Covers the navigation equation for attitude determination and the process of choosing a suitable solution.

Inverse Functions: Derivatives and Solutions

Explores inverse functions, derivatives, and solutions in a mathematical context.

Ordinary Differential Equations: General Framework

Explores the general framework of ordinary differential equations and their significance in various fields.