Optical Illusions: Art and Mathematics

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Related lectures (31)

Fourier Transform: Motivating Formula Log in to Mediaspace to watch this video

Covers the motivation behind the Fourier transform formula, explaining the process step by step.

Derivative of an Integral with Parameter Log in to Mediaspace to watch this video

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Integration by Substitution Log in to Mediaspace to watch this video

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Volume of Revolution: Examples Log in to Mediaspace to watch this video

Covers various examples of calculating the volume of a body of revolution.

Tensors: Motivations and Introduction Log in to Mediaspace to watch this video

Covers the basics of tensors, including their definition, properties, and decomposition, starting with a motivating example involving Gaussian distributions.

Mathematics: Cylinders and Parametrizations Log in to Mediaspace to watch this video

Discusses the mathematical concepts of cylinders and their parametrizations, including surface area, volume, and related exercises.

Proof of Delta Function Properties Log in to Mediaspace to watch this video

Explores the proof of properties related to the delta function in mathematical analysis.

Improper Integrals: Fundamental Concepts and Examples Log in to Mediaspace to watch this video

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Approximation and Compound Interest Log in to Mediaspace to watch this video

Explores evaluation methods, raising numbers to a power, chess game origins, and compound interest calculations.

Calculating Volumes of Solids: Integration Techniques Log in to Mediaspace to watch this video

Covers the calculation of volumes of solids using integration techniques and examples of solids of revolution.

Differential Equations: Implicit Function Theorem Applications Log in to Mediaspace to watch this video

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

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