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Lecture
Analyse II: Stationary Points Classification
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Extrema of Functions in Several Variables
Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.
Stationary Points and Saddle Points
Explores stationary points, saddle points, symmetric matrices, and orthogonal properties in optimization.
Optimization Techniques: Local and Global Extrema
Discusses optimization techniques, focusing on local and global extrema in functions.
Local Extremums of Functions in Multivariable Calculus
Revisits local and absolute extremums of multivariable functions, emphasizing critical points and their classification.
Directional Derivatives
Explores directional derivatives in two-variable functions and extremum points.
Extrema of Functions in Several Variables
Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.
Finding Absolute Extrema in Multivariable Functions
Covers the conditions for finding absolute extrema in multivariable functions.
Local Extremum Points Determination
Focuses on determining local extremum points of functions through various examples.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Local Inversion Theorem
Explores the Local Inversion Theorem and extremum points in functions.