Data Structures and Algorithms
Introduction
- What are data structures and algorithms
- Importance in programming
Fundamentals of Programming
- Programming languages
- Compilers and interpreters
- Time and space complexity
Basic Data Structures
- Primitive data types
- Arrays and lists
- Stacks
- Queues
Advanced Data Structures
- Linked lists
- Trees
- Binary trees
- Binary search trees
- AVL trees and red-black trees
- Graphs
- Graph representation
- Types of graphs
- Hash tables
Search Algorithms
- Linear search
- Binary search
- Graph search algorithms
- Depth-first search (DFS)
- Breadth-first search (BFS)
Sorting Algorithms
- Selection sort
- Bubble sort
- Quick sort
- Merge sort
Recursive Algorithms
- Concept of recursion
- Base cases and recursive steps
- Examples of recursive algorithms
Algorithm Analysis
- Big O notation
- Best, worst, and average cases
- Practical examples of analysis
Specialized Data Structures
- Heaps
- Tries (prefix trees)
- Segment trees
- Persistent data structures
Practical Applications
- Real-life problems
- Exercises and challenges
- Programming projects