Max/min: optimizationCovers the concepts of optimization, focusing on finding maximum and minimum values.
Nature of Extremum PointsExplores the nature of extremum points in functions of class e² around the point (0,0), emphasizing the importance of understanding their behavior in the vicinity.
Functions and DerivativesExplores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
Gradient and Taylor FormulaIntroduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.
Functional DerivativesCovers the concept of functional derivatives and their calculation process with examples.
Functions of Class C^pExplores functions of class C^p, emphasizing continuity and differentiability properties.
Derivatives and FunctionsCovers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.