Lecture
This lecture introduces the concept of recursion, explaining how it allows for efficient problem-solving by breaking it down into smaller subproblems. The instructor illustrates this with examples of recursive algorithms, emphasizing the importance of termination conditions and combining results. The lecture then delves into the recursive algorithm for calculating sums, highlighting the process of breaking down the problem into smaller inputs and recombining the results. The discussion extends to the complexity analysis of recursive algorithms, comparing them to iterative approaches. Additionally, the lecture covers the recursive binary search algorithm, emphasizing the significance of ordered lists for efficient searching. The instructor also explores the merge sort algorithm, demonstrating how it leverages recursion to efficiently sort lists. The lecture concludes by highlighting the practical relevance of sorting algorithms for optimizing search operations in databases.