React Framework and Galois Connections

Module 1: Introduction to Galois Connections

Overview of Galois connections and their mathematical properties Formal definition and examples of Galois connections Galois connections in functional programming and type theory

Module 2: React Hooks Fundamentals

Introduction to React Hooks and their benefits Using state and effect hooks in functional components Building a simple Todo List application with Hooks

Module 3: Galois Connections in React Hooks

Using Galois connections to abstract state and logic in React Hooks Implementing custom hooks using Galois connections Building a more advanced Todo List application with Galois connections

Module 4: REPL and Debugging in React

Setting up a development environment with Create React App and REPL Debugging React applications using browser dev tools and REPL Using REPL to test and experiment with custom hooks

Module 5: Advanced Topics in Galois Connections and React Hook

Implementing advanced features in the Todo List application Using Galois connections to build reusable and composable components Best practices and tips for continuing to learn and improve

Module 6: Project and Conclusion

Building a final project using the concepts learned in the course Best practices and tips for continuing to learn and improve Conclusion and next steps. This outline emphasizes the use of Galois connections to abstract state and logic in React Hooks, while building a Todo List application as a practical example. The use of REPL is integrated throughout the course to help with debugging, testing and experimentation.