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Lecture
Optimization Methods: Lagrange Multipliers
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Optimization: Lagrange Multipliers
Covers the method of Lagrange multipliers to find extrema subject to constraints.
Local Extrema of Functions
Discusses local extrema of functions in two variables around the point (0,0).
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Optimization Problems
Covers optimization problems, focusing on finding extrema of functions subject to constraints.
Optimization Problems
Covers optimization problems, focusing on finding extrema of functions subject to constraints.
Implicit Functions Theorem
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.
Numerical Methods: Stopping Criteria, SciPy, and Matplotlib
Discusses numerical methods, focusing on stopping criteria, SciPy for optimization, and data visualization with Matplotlib.
Bernoulli's Hospital Rule
Covers the statement of the Bernoulli's Hospital Rule and its application.
Minimization of functions
Explores techniques for minimizing functions and finding critical points.