Explore the fundamentals of Deterministic Finite Automata (DFA) in this comprehensive lecture from the "Great Theoretical Ideas in Computer Science" course. Delve into example problems, including palindrome recognition, to understand the practical applications of DFAs. Learn about representing instances, solutions, and problems in computational theory. Investigate the nature of computation and algorithms, and examine the anatomy of DFAs. Gain hands-on experience with DFA construction and understand how DFAs function as code in a unique programming paradigm. Conclude with a formal definition of DFAs and an introduction to Regular Languages, providing a solid foundation in this crucial area of computer science theory.