Lectures related to Local Minima and Concavity

Maximization of Volume: Constructing a Rectangular Box

Covers the optimization of volume by constructing a rectangular box.

Convexity and Optimization

Explores convexity, optimization, and critical points in mathematical functions using the second derivative.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Max/min: optimization

Covers the concepts of optimization, focusing on finding maximum and minimum values.

Optimization Techniques: Local and Global Extrema

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

Differentiable Functions and Lagrange Multipliers

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

Local Extrema of Functions

Discusses local extrema of functions in two variables around the point (0,0).

Optimization: Local Extrema

Explains how to find local extrema of functions using derivatives and critical points.

Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.

Taylor's Formula: Developments and Extrema

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Optimization: Stationary Points and Local Extrema

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

Whittaker Model: Properties and Analytic Continuation

Covers the properties of the Whittaker model and its analytic continuation.

Derivative and Local Extrema Study

Explores the study of local minima and maxima through derivatives and sign changes.

Norm Estimation and Continuity

Covers the estimation of norms and continuity in mathematical functions.

Extrema of Functions

Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.

Graph of a Function

Covers analyzing the graph of a function using a nine-point process.

Applications of Differential Calculus

Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.

Thales - Arnesson - Palmer: Part 2

Covers mathematical functions, inequalities, and geometric figures with practical applications and problem-solving strategies.

Nature of Extremum Points

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.

Taylor Series: Applications and Exercises

Covers the application of Taylor series in writing functions and solving exercises.