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Lecture
Optimization: Stationary Points and Local Extrema
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Related lectures (48)
Optimization: Local Extrema
Explains how to find local extrema of functions using derivatives and critical points.
Implicit Examples: Hyperplane and Stationary Points
Illustrates finding hyperplanes for surfaces and determining stationary points.
Derivative and Local Extrema Study
Explores the study of local minima and maxima through derivatives and sign changes.
Derivative and Local Extrema Study
Explores the study of local extrema using derivatives and the importance of continuity at critical points.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.
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MOOC: Analysis I
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Covers the analysis of local and global extrema, concavity, and inflection points.
Implicit Function Theorem: Local Extrema
Explores the Implicit Function Theorem, local extrema, supporting hyperplanes, and higher-order derivatives.
Implicit Function Theorem
Explores the Implicit Function Theorem, supporting hyperplanes, local extrema, and higher-order derivatives, concluding with the classification of stationary points.
Convexity and Optimization
Explores convexity, optimization, and critical points in mathematical functions using the second derivative.
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MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explores determining local maximums, minimums, and inflection points of functions.
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Covers the study of functions, including limits, derivatives, and sign variations.
Optimality Conditions: Unconstrained
MOOC: Optimization: principles and algorithms - Unconstrained nonlinear optimization
Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.
Convergence Criteria: Necessary Conditions
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Explains necessary conditions for convergence in optimization problems.
Optimization Techniques: Local and Global Extrema
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Discusses optimization techniques, focusing on local and global extrema in functions.
Differential Calculation: Trigonometric Derivatives
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Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Derivatives and Convexity
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Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.
Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums
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Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.
Extreme Points and Function Extrema
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Explores finding extrema of functions over compact sets and edge parametrization.
Differentiable Functions and Lagrange Multipliers
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Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Applications of Differential Calculus
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Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.
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