Lectures related to Optical Illusions: Art and Mathematics

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

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

Mathematics: Cylinders and Parametrizations

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

End-to-End Vector: Lecture 4

Explores the concept of end-to-end vector and its practical implications.

Supremum Theorem

Explores the Supremum Theorem, its properties, proofs, and exercises.

Improper Integrals: Fundamental Concepts and Examples

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

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.