Covers the definitions of continuous functions and derivatives, emphasizing the concept of functions being continuous at a point and the notion of derivatives.
Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Delves into the world of decentralized finance derivatives, exploring crypto derivatives types and existing protocols while discussing the need for new derivatives and financial data oracles.
Explores curvilinear integration in the complex plane, including regular curves, properties, examples, antiderivatives, Cauchy theorem, and integrability criteria.