Lectures related to Level set | EPFL Graph Search

Differentiability of Functions of Several Variables

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Tangent Plane to Implicit Function

Explores the tangent plane to implicit functions, emphasizing equations and graphical representations.

Implicit Functions Theorem

Discusses finding min and max of functions on compact sets and the theorem of implicit functions.

Domain Defined by Level Leagues

Explores domains defined by level leagues and double integrals over such domains.

Differential and Tangent Plan

Explores differentiable functions, gradients, and tangent planes in two-variable functions.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Functions of Several Real Variables

Explores real functions of several real variables, limits, and algebraic operations.

Real Functions of Several Variables: Definitions and Examples

Covers definitions and examples of real functions of several real variables, including limits and visualization techniques.

Gradient: Scalar Field

Explores gradient in scalar fields, directional derivatives, and level sets.

Functions and Coordinate Changes

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Level Curves and Graph Sketching

Explains level curves and graph sketching for functions of multiple variables.

Implicit Functions: Tangent Plan Equation

Covers implicit functions of class C and the equation of the tangent plane.

Continuity and Limits in Multivariable Functions

Explores limits and continuity in multivariable functions, including level sets and limit existence.

Scalar fields and level sets

Covers scalar fields and level sets, focusing on the level set { x ∈ R³ | x² + x² + x₃ = 1}.

Advanced Analysis II: Level Sets and Continuity

Explores level sets, continuity, and limit evaluation in multiple variables.

Level Curves and Graphs of Functions

Covers level curves and graphs of functions in two and three dimensions.

Differentiability and Tangent Planes in Multivariable Functions

Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.

Euler-Lagrange Equation

Covers the Euler-Lagrange equation in Sobolev spaces and discusses minimization, convexity, and weak forms.

Polar Coordinates: Calculus Applications

Covers the application of calculus in polar coordinates, including examples of domains defined by level curves.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.