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Related lectures (31)
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Singularities of Curves in Geometry
Explores singularities in curves, including inflection points and points of reversal, and discusses the evolution of torsion along curves.
Euler-Lagrange Equations
Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Local Inversion Theorem
Explores the Local Inversion Theorem and extremum points in functions.
Point Interior and Boundary in Real Numbers
Explores point interior and boundary concepts in real numbers, covering definitions and implications.
Convergence Criteria: Necessary Conditions
Explains necessary conditions for convergence in optimization problems.
Optimization Techniques: Local and Global Extrema
Discusses optimization techniques, focusing on local and global extrema in functions.
Analyse II: Theorems on Continuous Functions and Extremums
Covers the theorems on continuous functions and extremums in compact sets.
Extreme Absolute Points: Examples
Covers examples of absolute extrema and how to find extreme points.
Nature of Extremum Points
Covers the nature of extremum points and their classification as stationary or saddle points.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.