Explore the three main asymptotic time complexity analysis methods for algorithms: Big O, Big Omega, and Big Theta notations. Delve into their mathematical definitions, graphical representations, and practical applications. Learn how Big O represents the worst-case scenario and upper bound, Big Omega describes the best-case scenario and lower bound, and Big Theta provides the average-case scenario and most realistic time complexity. Understand the importance of these notations in evaluating algorithm performance and efficiency through examples and visual aids.