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Lecture
Local Extremum Points Determination
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Nature of Extremum Points
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.
Extrema of Functions in Several Variables
Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Optimization Techniques: Local and Global Extrema
Discusses optimization techniques, focusing on local and global extrema in functions.
Finding Absolute Extrema in Multivariable Functions
Covers the conditions for finding absolute extrema in multivariable functions.
Optimization of Functions: Maximum and Minimum
Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.
Extrema of Functions in Several Variables
Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.
Stationary Points: Necessary Conditions and Examples
Covers necessary conditions for extrema and provides illustrative examples.
Local Extrema of Functions
Discusses local extrema of functions in two variables around the point (0,0).
Extrema of Functions
Covers the concept of extrema of functions, including local and global maxima and minima.