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Lecture
Fourier Series: Examples
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Fourier Series: Properties and Examples
Explores Fourier series properties and examples, showcasing their application to continuous and discontinuous functions.
Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
Transforms of the Place
Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.
Neurophysiological Data Analysis
Explores neurophysiological data analysis, covering AP identification, firing rates, subthreshold activity, FFT spectral analysis, and event-triggered analysis using MATLAB.
Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.
Modular Forms: Properties and Applications
Covers the properties and applications of modular forms and discusses equidistribution and modularity.
Calculating with Taylor, Convexity
Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.
Wave Propagation: General Solutions
Explores the general solutions for wave propagation and Fourier transforms in periodic functions.
Approximating Functions with Taylor Series
Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.
Derivatives and Continuity
Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.