Directional derivative

Related lectures (32)

Page 3 of 4

Covers the concept and calculation of directional derivatives in multivariable calculus.

Explains acceleration along curves and geodesics on manifolds, generalizing straight lines to spheres.

Introduces differentiating vector fields along curves on manifolds with connections and the unique operator satisfying specific properties.

Explores tangent planes, implicit functions, and directional derivatives in relation to graphs of functions.

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Covers properties of integrals and differentiation, focusing on exercise solutions and function behavior.

Covers directional derivatives, implicit functions, and the concept of the maximum.

Explores Taylor expansions and retractions on Riemannian manifolds, emphasizing second-order approximations and covariant derivatives.

Explains the concept of directional derivatives and their applications in differentiating functions.

Covers optimization techniques and their application in solving real-world problems.