Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
Covers the inverse function theorem, Jacobian matrix, injective functions, bijective functions, and spherical coordinates.
Explores 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.
Explores the Lagrange multipliers theorem for n>2, demonstrating its application in optimization problems with constraints.
Explores absolute extrema, continuity, compactness, and interval properties on compact sets.
Explores the Theorem of the Average, integrability criteria, properties of the integral, and volume concepts.
