Explores sufficient conditions for functions and implicit functions in finding solutions.
Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Explores conditions for local extrema in two and three variables, along with implicit functions and finding absolute minima and maxima.
Explores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Explores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.
