Quadratic Surfaces in 3D SpaceExplores quadratic surfaces in 3D space, discussing hyperboloids and their Cartesian equations, emphasizing the importance of reference frames.
Implicit Functions TheoremCovers the implicit functions theorem and its applications in defining functions implicitly and differentiating them.
Linear Models: LASSO and AMPCovers linear problems, LASSO, and AMP in supervised learning, including Generalized Linear Models and N-dimensional models.
Multidimensional IntegrationExplores multidimensional integration, emphasizing the impact of integration order and showcasing volume calculations in various dimensions.
Data-Driven Modeling: RegressionIntroduces data-driven modeling with a focus on regression, covering linear regression, risks of inductive reasoning, PCA, and ridge regression.
