Convexity and Concavity

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Related lectures (34)

Optimization Techniques: Local and Global Extrema Log in to Mediaspace to watch this video

Discusses optimization techniques, focusing on local and global extrema in functions.

Local Extremums of Functions in Multivariable Calculus Log in to Mediaspace to watch this video

Revisits local and absolute extremums of multivariable functions, emphasizing critical points and their classification.

Finding Absolute Extrema in Multivariable Functions Log in to Mediaspace to watch this video

Covers the conditions for finding absolute extrema in multivariable functions.

Convergence Criteria: Necessary Conditions Log in to Mediaspace to watch this video

Explains necessary conditions for convergence in optimization problems.

Differentiable Functions and Lagrange Multipliers Log in to Mediaspace to watch this video

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Directional Derivatives Log in to Mediaspace to watch this video

Explores directional derivatives in two-variable functions and extremum points.

Untitled Log in to Mediaspace to watch this video

Optimization: Stationary Points and Local Extrema Log in to Mediaspace to watch this video

Covers the concept of stationary points in optimization and how to identify local extrema.

Application of Taylor's approximation formula Log in to Mediaspace to watch this video

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Taylor's Formula: Convexity, Inflection Points Log in to Mediaspace to watch this video

Explores Taylor's formula, uniqueness of Taylor series, Mean Value Theorem, inflection points, and convexity.

Nature of Extremum Points Log in to Mediaspace to watch this video

Explores the nature of extremum points in functions of class e² around the point (0,0), emphasizing the importance of understanding their behavior in the vicinity.

Stationary Points and Lagrange Multiplier Theorem Log in to Mediaspace to watch this video

Explores stationary points and the Lagrange multiplier theorem for function optimization.

Taylor Polynomials: Correction Exam 2018 Log in to Mediaspace to watch this video

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

Convex Functions Log in to Mediaspace to watch this video

Covers the properties and operations of convex functions.

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