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.
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.
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.
Integral Transforms
Explore integral transforms, including uncertainty principle, delta function, symmetry, and various transform types, enhancing mathematical understanding for physics applications.
Method of Undetermined Coefficients
Explore the method of undetermined coefficients for solving nonhomogeneous differential equations, including determining particular solution forms for various equation types.
Laplace Transform
Comprehensive exploration of Laplace transforms, covering definitions, techniques, and applications for various functions, including exponential orders and piecewise functions.
Properties of Laplace Transform
Explore key properties of Laplace Transform, including translation theorems, derivatives, and special functions, with practical examples and efficient problem-solving techniques.
Unit Step Functions and Translation in T
Explore unit step functions, translation, and Laplace transforms in this comprehensive tutorial covering key concepts and practical applications in differential equations.
Laplace Transform of Discontinuous Functions
Explore Laplace transforms of discontinuous functions, including unit step and shifted unit step functions, with applications to differential equations and inverse transforms.
Solve Differential Equations with Laplace Transform
Learn to solve differential equations using Laplace transforms, focusing on second-order linear equations and practical examples from Nagle's Section 7.5.
Convolution and Laplace Transform
Explore convolution theorem, Laplace transforms, and inverse Laplace transforms with practical examples and proofs for a comprehensive understanding of these mathematical concepts.
Differential Equations
Explore differential equations through various techniques, including separation of variables, integrating factors, exact equations, series solutions, Laplace transforms, and systems of linear equations.
Laplace Transforms
Explore Laplace transforms, from basic definitions to advanced applications, covering linearity, inverse transforms, and solving initial value problems with practical examples.
Differential Equations
Comprehensive exploration of differential equations, covering linear, exact, and homogeneous types, applications, solution methods, and advanced topics like Laplace transforms and linear systems.