amazon.co.ukCS2: Data Structures, Algorithms and Complexity
Stacks, queues, linked lists, binary search trees, Big-O notation, Dijkstra's algorithm, sorting (Merge, Quick, Bubble).
š Key Definitions and Core Concepts
Big-O Notation: Mathematical classification of algorithmic efficiency in terms of time and space scaling with input size n.
Dijkstra's Algorithm: Single-source shortest path algorithm on weighted graphs using a priority queue.
š Key Principles & Specification Requirements
- Time complexities: Binary search O(log n), Merge sort O(n log n), Bubble/Insertion sort O(nĀ²), Hash table lookup O(1).
- Data structures: Stack (LIFO: push/pop), Queue (FIFO: enqueue/dequeue), BST (left < node < right).
- Graph traversals: Depth-First Search (DFS using stack/recursion), Breadth-First Search (BFS using queue).
š” Worked Example Question
Exam-Style Question
Question:
Trace a binary search for target 18 in array [2, 5, 8, 12, 16, 18, 24, 30].
Model Solution & Mark Scheme:
Array length 8, indices 0..7. 1. mid = (0+7)//2 = 3 (val = 12). 18 > 12 => search right half [4..7]. 2. mid = (4+7)//2 = 5 (val = 18). 18 == 18 => Target found at index 5. (2 comparisons total).
ā Practice Questions & Mark Schemes
Q1: Explain the significance of Data Structures, Algorithms and Complexity in A-Level examination contexts.
Show Model Answer
Answer: Demonstrate clear conceptual understanding of Data Structures, Algorithms and Complexity, defining core terminology and citing relevant principles or case examples.
Q2: Evaluate key arguments or methodologies concerning Data Structures, Algorithms and Complexity.
Show Model Answer
Answer: Contrast competing perspectives, discuss empirical evidence or theoretical limitations, and synthesize a balanced, well-reasoned conclusion.
š¬ Video Resources
- Data Structures, Algorithms and Complexity - Overview -- YouTube Search
- Data Structures, Algorithms and Complexity - Exam Questions -- YouTube Search
š Past Papers & Exam Resources
- AQA A-Level - Past Papers -- AQA
- Edexcel A-Level - Past Papers -- Edexcel
- OCR A-Level - Past Papers -- OCR
š Further Reading & Resources
- Physics & Maths Tutor -- Free notes, worksheets, and past paper questions by topic
- Dr Frost Maths -- Free resources, slides, and interactive questions
- BBC Bitesize -- BBC Bitesize revision resources