Derivability ConditionsExplores conditions for non-differentiability in multivariable calculus and the implications of the differentiability theorem.
Implicit FunctionsCovers directional derivatives, implicit functions, and the concept of the maximum.
Hessian MatrixCovers the concept of the Hessian matrix and its role in optimization problems.
Directional DerivativesExplores directional derivatives, their calculation, examples, and cases of lack of continuity.
Continuous Derivable FunctionsCovers continuously derivable functions on open intervals with continuous derivatives and examples of different derivative orders.
Max/min: optimizationCovers the concepts of optimization, focusing on finding maximum and minimum values of functions.
