Toy example: linearization

Related lectures (30)

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Covers the application of the Weingarten map on regular surfaces and the shape operator.

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Explores nonlinearity in numerical flow simulation, covering linearization methods and practical examples.

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Explores quadratic forms, symmetric bilinear forms, and their properties.

Explores linear dependence and independence of vectors in geometric spaces.

Explores the application of Laplace transform in state space modeling of linear systems and the control of dynamic systems.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.