Creating animations in iOS using Swift involves understanding the UIKit Animations API, which has two implementations: `UIView.transition(with:)` and `UIView.transition(from:)`. The former allows for more control over the transition process, while the latter automates some aspects. To use these APIs, developers need to understand concepts such as view hierarchy, triggers, and predefined transitions. By following a step-by-step guide, developers can create simple animations that transition between views, including flipping, curling, and dissolving effects. The tutorial project demonstrates how to implement these animations using Swift and Xcode, providing a starting point for further exploration of iOS animation techniques.