Explore the fundamental concepts of Turing Machines as a computational model in this graduate-level lecture from Carnegie Mellon University's "CS Theory Toolkit" course. Delve into the historical advantages of Turing Machines, examine multi-tape variations, and address common objections to this model. Investigate memory usage, time and space bounds, and the concept of Random Access Turing Machines. Learn about logarithmic space complexity and discover techniques for finding maximum values. Gain essential knowledge for research in theoretical computer science through this comprehensive 26-minute lecture delivered by Professor Ryan O'Donnell.