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Related lectures (31)
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Diffusion: Fundamental Concepts
Covers the fundamental concepts of diffusion, including Fick's laws and temperature dependence, demonstrated with examples.
Laplace Transform: Basics and Properties
Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.
Distributions and Laplace Transform: Key Concepts
Discusses distributions, the Laplace transform, and their applications in mathematical analysis.
Fourier Series: Theory and Applications
Explores the theory and applications of Fourier series, including convergence properties and piecewise-defined functions.
Derivatives and Function Composition
Covers derivatives rules and function composition with examples and explanations.
Piecewise Functions Composition
Covers the composition of piecewise functions and introduces the signum and Heaviside functions.
Fourier Transform Pairs and System Analysis
Covers Fourier transform pairs, system analysis with difference equations, and frequency response.
Laplace Transforms: Applications and Convergence Properties
Introduces Laplace transforms, their properties, and applications in solving differential equations.
Convex Functions: Theory and Applications
Explores convex functions, affine transformations, pointwise maximum, minimization, Schur's Lemma, and relative entropy in mathematical optimization.
The Sampling Theorem
Covers the sampling theorem, impulse train sampling, bandlimited signals, and the Nyquist rate.
Spline Interpolation: Definition and Error Analysis
Explains spline interpolation and error analysis in approximating data points using piecewise linear and spline methods.
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