**Analytic ODEs in real and complex domain: similarities and differences.**

- Background on holomorphic functions. Weierstrass compactness principle.
- (Ordinary) Differential Equations and their solutions.
- Contracting mapping principle (recall).
- Picard integral operator and its contractivity.
- Existence/uniqueness theorem.
- Example: Matrix exponent and its computation.
~~Holomorphic~~~~ vector fields and their trajectories. Equivalence of vector fields.~~
~~Flow box theorem and rectification theorem for nonsingular vector fields.~~

Attached is Section 1. It will be available on these pages for a limited time and is password-protected from printing 😦 … I must obey the requirements of the Publisher.

###### Disclaimer. In full compliance with the strike rules (were it still be underway), this meeting is defined as a research/orientation seminar on a novel teaching technology. 🙂

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