Functions of Class C^pExplores functions of class C^p, emphasizing continuity and differentiability properties.
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 and DerivativesExplores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
Derivatives and FunctionsCovers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.