Modeling and Simulation of Dynamic Systems
Learn MATLAB techniques for solving ODEs, analyzing spring-mass-damper systems, and applying Laplace transforms in dynamic system modeling and simulation.
Data-Driven Science and Engineering
Explora técnicas avanzadas de aprendizaje automático, sistemas dinámicos y control con ejemplos prácticos en Matlab y Python, basados en el libro "Data-Driven Science and Engineering" de Brunton y Kutz.
Control Systems
Comprehensive exploration of control systems, covering theory, analysis techniques, and practical problem-solving. Ideal for engineering students and professionals seeking in-depth understanding.
The Taylor Series, Complex Numbers, and Simple Harmonic Motion - Lecture 16
Explore advanced mathematical concepts including Taylor series, complex numbers, and simple harmonic motion in this comprehensive lecture from Yale University's physics course.
Engineering Mathematics
Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.
Networks, Signals and Systems
Comprehensive exploration of network theory, signals, and systems, covering elements, parameters, transforms, frequency response, synthesis, graph theory, impedance, filters, and Fourier series.
Signals and Systems
This course is a study of signals and systems, covering topics: formal definition of 'signal' and 'system', continuous and discrete signals, continuous and discrete-time systems, Linear Time-Invariant (LTI) systems, representation of continuous and discr…
Principles of Signals and Systems
This course introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessar…
Signals and Systems
Comprehensive exploration of signal processing fundamentals, covering continuous and discrete-time systems, Fourier and Laplace transforms, sampling theory, and Z-transforms for practical applications.
Transform Calculus and Its Applications in Differential Equations
Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.
Calculus of Variations and Integral Equations
In this course you will learn, Calculus of Variations, Integral Equations, Concepts of the calculus of variations, Variational problems with the fixed boundaries, Variational problems with moving boundaries, etc.
Process Control - Analysis, Design and Assessment
Comprehensive exploration of process control fundamentals, advanced techniques, and practical applications using MATLAB, covering modeling, analysis, design, and assessment of control systems.
Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1
Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.
The Banach Contraction Mapping Theorem - Oxford Mathematics 1st Year Lecture
Explore the Banach contraction mapping theorem in this Oxford Mathematics lecture, focusing on guaranteeing convergence of fixed point iterations in one dimension.
Analysis III: Basic Properties of Riemann Integration - Lecture 1
Explore the fundamental properties of Riemann integration in this first-year Oxford Mathematics student lecture. Delve into the intricacies of proving familiar concepts, such as how the integral of a sum of two functions equals the sum of their individua…
Integral Transforms
Explore integral transforms, including uncertainty principle, delta function, symmetry, and various transform types, enhancing mathematical understanding for physics applications.
Isoperimetric and Poincaré Inequalities on the Hamming Cube
Explore isoperimetric inequalities on the Hamming cube near and at the critical exponent 1/2, as well as closely related L1 Poincaré inequalities in this one-hour lecture. Delve into joint research conducted with P. Durcik and P. Ivanisvili, focusing on…
Entropy and Curvature of Markov Chains on Metric Spaces
Explore the Peres-Tetali conjecture and its implications for Markov chains in this 57-minute lecture by Justin Salez from the Hausdorff Center for Mathematics. Delve into the relationship between contraction in Wasserstein distance and relative entropy f…
Dirichlet-to-Neumann Map for the p-Laplacian on Metric Measure Spaces
Explore the Dirichlet-to-Neumann map for p-Laplacian on metric measure spaces. Delve into Newton-Sobolev spaces, trace classes, and Besov functions in the context of Dirichlet and Neumann problems.
A Panorama of Singular Sub-Laplacians and Their Spectra
Explore exotic properties of Laplace-Beltrami operators on rank-varying sub-Riemannian structures. Delve into self-adjointness, spectral properties, and sub-Riemannian Weyl laws. Discover open questions in this fascinating field.
Conditioned Exit Measures of Non-Local Branching Processes
Explore conditioned exit measures of non-local branching processes in this mathematical conference talk by Emma Horton at CIRM.