Introduction to DSA:
Data Structures: Arrays, Linked Lists, Stacks, Queues, Trees, Graphs, etc.
Algorithms: Searching, Sorting, Graph algorithms, Dynamic programming, etc.
Big O Notation:
Analysis of algorithm efficiency.
O(1), O(log n), O(n), O(n log n), O(n^2), etc.
Best case, worst case, and average case complexities.
Arrays and Strings:
Array operations: Access, insertion, deletion, and search.
String manipulation: Concatenation, substring, searching, and sorting.
Linked Lists:
Singly linked lists: Insertion, deletion, traversal, and searching.
Doubly linked lists: Insertion, deletion, traversal, and searching.
Stacks and Queues:
Stack operations: Push, pop, and peek.
Queue operations: Enqueue, dequeue, and peek.
Applications and implementations.
Trees and Binary Trees:
Tree traversals: In-order, pre-order, and post-order.
Binary search trees: Insertion, deletion, and searching.
Balanced search trees: AVL trees, Red-Black trees.
Graphs:
Graph representation: Adjacency matrix, adjacency list.
Graph traversals: Depth-first search (DFS), breadth-first search (BFS).
Shortest path algorithms: Dijkstra's algorithm, Bellman-Ford algorithm.
Sorting Algorithms:
Bubble sort, selection sort, insertion sort.
Merge sort, quicksort, heapsort.
Time complexity analysis and comparisons.
Searching Algorithms:
Data Structures: Arrays, Linked Lists, Stacks, Queues, Trees, Graphs, etc.
Algorithms: Searching, Sorting, Graph algorithms, Dynamic programming, etc.
Big O Notation:
Analysis of algorithm efficiency.
O(1), O(log n), O(n), O(n log n), O(n^2), etc.
Best case, worst case, and average case complexities.
Arrays and Strings:
Array operations: Access, insertion, deletion, and search.
String manipulation: Concatenation, substring, searching, and sorting.
Linked Lists:
Singly linked lists: Insertion, deletion, traversal, and searching.
Doubly linked lists: Insertion, deletion, traversal, and searching.
Stacks and Queues:
Stack operations: Push, pop, and peek.
Queue operations: Enqueue, dequeue, and peek.
Applications and implementations.
Trees and Binary Trees:
Tree traversals: In-order, pre-order, and post-order.
Binary search trees: Insertion, deletion, and searching.
Balanced search trees: AVL trees, Red-Black trees.
Graphs:
Graph representation: Adjacency matrix, adjacency list.
Graph traversals: Depth-first search (DFS), breadth-first search (BFS).
Shortest path algorithms: Dijkstra's algorithm, Bellman-Ford algorithm.
Sorting Algorithms:
Bubble sort, selection sort, insertion sort.
Merge sort, quicksort, heapsort.
Time complexity analysis and comparisons.
Searching Algorithms: