Design and Analysis of Algorithms Part 1 - Divide and Conquer and Greedy Method

Master fundamental algorithmic concepts through this comprehensive 7.5-hour course covering essential design and analysis techniques. Begin with algorithm fundamentals including time complexity analysis, asymptotic notations, growth rates, and amortized analysis to build a strong theoretical foundation. Explore the divide and conquer paradigm through practical implementations of finding minimum-maximum elements, binary search, merge sort, quick sort, and Strassen's matrix multiplication algorithm. Dive deep into the greedy method by learning job sequencing with deadlines, spanning tree concepts, and implementing Prim's and Kruskal's algorithms for minimum cost spanning trees. Study Dijkstra's algorithm for single source shortest path problems with detailed examples, and solve the knapsack problem using greedy approaches. Gain hands-on experience with algorithm implementation while understanding the theoretical principles behind time and space complexity analysis, making this course ideal for computer science students and programming enthusiasts seeking to strengthen their algorithmic problem-solving skills.