Fundamentals of Array and List Data Structures

📋 Course Outline

1. Array Definition
2. Array Types
3. Array Operations
4. Array Applications
5. Linked List Definition
6. Linked List Types
7. Linked List Operations
8. Linked List Applications
9. Stack Definition
10. Stack Operations
11. Stack Applications
12. Queue Definition

📖 1. Array Definition

🔑 Key Concepts & Definitions

• Array: A collection of elements stored in contiguous memory locations, identified by index or key.
• Index: The position number of an element within an array, typically starting at 0.
• Fixed Size: Arrays have a predetermined size set at creation, which cannot be changed dynamically.
• Homogeneous Elements: All elements in an array must be of the same data type.
• Contiguous Memory: Elements are stored sequentially in memory, enabling efficient access via indexing.
• Multidimensional Array: An array of arrays, such as matrices, with more than one dimension.

📝 Essential Points

• Arrays provide constant-time access (O(1)) to elements via their index.
• Insertion and deletion operations can be costly (O(n)) because they may require shifting elements.
• Arrays are ideal for scenarios requiring fast read access but less efficient for frequent insertions/deletions.
• Dynamic arrays (like ArrayList) allow resizing at runtime, unlike static arrays.
• Multidimensional arrays are used in applications like image processing and matrix operations.