Dynamical System Theory for Engineers: Large Scale Stability

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Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

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Covers the properties and operations of convex functions.

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

Covers the proof of the Squeeze Theorem, Quotient Criteria, and the Bolzano-Weierstrass Theorem.

Explores Fubini's Theorem for multiple integrals, emphasizing the n=2 case.

Introduces linear and bounded operators, compact operators, and the Banach space.

Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.

Introduces dynamical system theory for engineers, covering system behavior, stability, and mathematical applications.

Covers sublinear functionals, linear functionals extension, and Hahn-Banach theorem.

Covers the theory of automorphic representations of GLn.

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