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Lecture
Optimization of Functions: Maximum and Minimum
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Max/min: optimization
Covers the concepts of optimization, focusing on finding maximum and minimum values.
Minimization of functions
Explores techniques for minimizing functions and finding critical points.
Optimization: Extrema of Functions
Covers the optimization of functions, focusing on finding the maximum and minimum values.
Optimization Techniques: Local and Global Extrema
Discusses optimization techniques, focusing on local and global extrema in functions.
Local Extremums of Functions
Explains local and absolute extremums of functions and the classification of critical points.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.
Morse Theory: Critical Points and Non-Degeneracy
Covers Morse theory, focusing on critical points and non-degeneracy.
Convex Functions
Covers the properties and operations of convex functions.