Laplace Transform Courses and Certifications

Integral Transforms

Explore integral transforms, including uncertainty principle, delta function, symmetry, and various transform types, enhancing mathematical understanding for physics applications.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Wolfram

Compositional Structure of Classical Integral Transforms

Explore classical integral transforms' compositional structure, focusing on modified Laplace transforms and MellinTransform. Learn definitions, inversions, and applications to various functions.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Fields Institute

Inverse Laplace Transforms of CTMCs and Fluid Models with the AAA Algorithm

Discover how the AAA algorithm enables efficient inverse Laplace transforms for continuous-time Markov chains and fluid models in stochastic analysis.

• YouTube
• 31 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Laplace Transformation of Fick's Second Law

Explore the application of Laplace transformation to Fick's second law of diffusion, including the Leibniz integral rule.

• YouTube
• 19 minutes
• On-Demand
• Free Video

Math with Professor V

Differential Equations: Transforms of Derivatives, Convolution Theorem and More - Part 1

Master Laplace transforms of derivatives and the convolution theorem for solving differential equations. Learn to apply integration techniques like the boomerang method and trigonometric identities through practical examples.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Gautam Varde

Solving Ordinary Differential Equations with Constant Coefficients Using Laplace Transform

Solve linear ODEs with constant coefficients using Laplace transforms, a powerful technique for simplifying complex differential equations.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Gautam Varde

Laplace Transform of Periodic Function - Engineering Mathematics Problem

Learn to apply Laplace transforms to periodic functions, focusing on square waves. Gain practical skills for solving engineering math problems involving periodic signals.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Steve Brunton

Solving PDEs with the Laplace Transform - The Heat Equation

Learn to solve the heat equation using Laplace Transforms. Explore problem setup, transform application, ODE solutions, and boundary conditions. Gain insights into frequency and time domain solutions.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Steve Brunton

Solving PDEs with the Laplace Transform - The Wave Equation

Explore solving the wave equation using Laplace transforms, covering problem setup, PDE to ODE conversion, and solution methods including the Heaviside function and method of characteristics.

• YouTube
• 25 minutes
• On-Demand
• Free Video

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Laplace Transform

Comprehensive exploration of Laplace transforms, covering definitions, techniques, and applications for various functions, including exponential orders and piecewise functions.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

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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.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

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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.

• YouTube
• 30 minutes
• On-Demand
• Free Video

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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.

• YouTube
• 30 minutes
• On-Demand
• Free Video

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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.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Laplace Transform

Master Laplace Transform: definition, essential transforms, inverse transforms, and applications in solving differential equations. Gain practical skills through extensive problem-solving exercises.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video