Lectures related to Supporting hyperplanes

Explores supporting hyperplanes for approximating function graphs in higher dimensions through normal vectors and linear approximations.

Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.

Explores finding the equation of the tangent line to a function's graph at a point.

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

Covers the definitions of differentiable and derivable functions and their geometric interpretation.

Explores differentiability in functions and geometric interpretation of tangent planes.

Explores Taylor series expansions for derivatives and integrals, including practical applications.

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

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Covers differentiable functions, derivatives, and tangent planes in mathematics.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Explores derivatives, Hessians, and Taylor approximations for differentiable functions.

Explores directional derivatives, tangent planes, and normal vectors in surfaces.

Explores differentiable functions, Taylor approximations, and directional derivatives in open sets.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores the Local Inversion Theorem and extremum points in functions.

Discusses advanced optimization techniques, focusing on faster and projected gradient descent methods in machine learning.

Explores differentiable functions in R², including vector fields and coordinate transformations.

Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.

Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.