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Lecture
Supporting Hyperplanes
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Related lectures (28)
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Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Differentiability in Analysis
Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.
Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Derivable Functions: Partial Derivatives and Jacobian Matrix
Covers derivable functions, partial derivatives, Jacobian matrix, and rule of composition.
Gradient and Taylor Formula
Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.
Convergence Criteria: Necessary Conditions
Explains necessary conditions for convergence in optimization problems.
Mathematical Methods for Materials Science: Integrals, Exact Differentials
Explores limits, derivation rules, integrals, and exact differentials for practical applications.
Partial Derivatives: Gradient and Theorem of Mean Value
Introduces the gradient concept and the Theorem of Mean Value for functions in several variables.
Partial Derivatives and Gradient
Covers partial derivatives, gradient, and second partial derivatives with their applications.
Differential Calculus: Applications and Reminders
Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.