Graphs, Recursion, Hashmaps, Trees

Gain a foundational understanding of the importance of data structures in computer science. Differentiate between linear and non-linear data structures. 2. Deep Dive into Graphs:

Understand the difference between directed and undirected graphs. Implement basic graph operations like add node, add edge, remove node, and remove edge. Understand and implement depth-first search (DFS) and breadth-first search (BFS) traversal algorithms. Apply real-world applications of graphs such as social networks, route finding, and recommendation engines. 3. Mastering the Art of Recursion:

Understand the concept of recursion and its underlying principles. Differentiate between recursive and iterative solutions. Develop and analyze recursive algorithms for problems like factorial computation, Fibonacci sequence, and more. Recognize and handle base cases effectively to prevent infinite loops. 4. Hashmaps for Efficient Data Retrieval:

Understand the underlying concept of hashing and its importance. Implement basic hashmap operations: insert, delete, and retrieve. Understand and handle collisions using techniques like chaining and open addressing. Analyze the average and worst-case time complexities for operations on hashmaps. Recognize the practical applications of hashmaps in scenarios requiring constant time retrieval. 5. Exploring Trees and Hierarchical Structures:

Understand the difference between binary trees, binary search trees, AVL trees, and more. Implement tree-based operations like insertion, deletion, traversal, and searching. Grasp the concepts of tree balancing and self-balancing trees. Learn about tree traversal techniques including in-order, pre-order, and post-order traversals. Recognize the applications of trees in database systems, file systems, and more. 6. Synthesis and Application:

Combine knowledge from all the aforementioned topics to solve real-world problems. Analyze and optimize solutions for time and space complexity. Develop a deeper appreciation for the intricacies and nuances of each data structure and its associated algorithms. Upon completing this course, students should be equipped with a robust understanding of these foundational data structures and algorithms, allowing them to apply these concepts to complex real-world problems and to further advanced studies in computer science.