Lectures related to Parametric Drive: Resonators

Involutes and Bezier Curves

Explores involutes and Bezier curves, essential in computer-aided design.

Extended Josephson Junctions: Modeling and Critical Current

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

Harmonic Oscillator: Free Oscillation and Damping

Explores harmonic oscillators, free oscillation, and damping, including critical damping and energy analysis.

Oscillators: Damped, Forced, Beats, Resonance

Explores damped oscillators, forced oscillations, beats, and resonance in depth.

Spin Glasses: Fully Connected

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

Laplacian: Basics and Examples

Covers the basics of the Laplacian operator applied to scalar fields and its importance in mathematical models.

Furuta Pendulum Control

Explores the control of a Furuta pendulum and its application to complex electromechanical systems.

Soil Water Dynamics: General Equations and Mathematical Modelling

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

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.

Supervised Learning with kNN: Regression Model

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

Dynamical Systems: Mathematical Modeling

Covers mathematical modeling of dynamical systems, focusing on electromechanical systems and DC servomotors.

Navigation Equation: Attitude Determination

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

Data Representation: Models and Systems

Discusses data representation through models and systems, covering mathematical models, data structures, levels of modeling, and managing data.

Replica Symmetry: Guess

Explores replica symmetry and educated guessing in mathematical models.

Introduction to Physics: Experimental Demonstrations

Introduces physics concepts through experimental demonstrations, emphasizing observation and mathematical modeling.

Ordinary Differential Equations: General Framework

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

Data Reconciliation: Case Study

Discusses correcting errors in measurements through mathematical expressions and optimization techniques.