The passage introduces the concept of algorithms in computer science, defining them as methods for solving computational problems. It highlights the importance of algorithms in the digital age and provides a high-level description of an algorithm using pseudocode. The text also covers primitive operations, asymptotic notation (big-O, big-Ω, big-Θ), and their applications in analyzing algorithm performance. It discusses the running time of algorithms and introduces the concept of amortized analysis, comparing incremental and doubling strategies for dynamic arrays. The passage includes examples and possible quiz problems to illustrate these concepts.The passage introduces the concept of algorithms in computer science, defining them as methods for solving computational problems. It highlights the importance of algorithms in the digital age and provides a high-level description of an algorithm using pseudocode. The text also covers primitive operations, asymptotic notation (big-O, big-Ω, big-Θ), and their applications in analyzing algorithm performance. It discusses the running time of algorithms and introduces the concept of amortized analysis, comparing incremental and doubling strategies for dynamic arrays. The passage includes examples and possible quiz problems to illustrate these concepts.