Bubble Sort Algorithm
Master the fundamentals of sorting algorithms with our comprehensive guide to Bubble Sort - one of the simplest yet important sorting algorithms in computer science.
Learning Objectives of the Experiment
In this experiment, we will be able to do the following:
- Given an unsorted array of numbers, generate a sorted array of numbers by applying Bubble Sort.
- Optimise the Bubble Sort algorithm to achieve better performance.
- Demonstrate knowledge of time complexity of Bubble Sort by counting the number of operations involved in each iteration.
- Compare Bubble Sort with other sorting algorithms and realise Bubble Sort as a stable comparison sorting algorithm.
Overview of the Experiment
Prerequisites of the Experiment
This experiment requires you to have basic knowledge about:
- The Notion of Sorting
- Notion of Time and Space complexity
- And above all, a curiosity to learn and explore!
The aim of this experiment is to understand the Bubble Sort algorithm, its time and space complexity, and how it compares against other sorting algorithms.
The experiment features a series of modules with video lectures, interactive demonstrations, simulations, hands-on practice exercises and quizzes for self analysis.
Experiment Modules and their Weightage
| Module | Weightage | Expectation |
|---|---|---|
| Pre-Test | 10% | Solve All Questions |
| Bubble Sort | 25% | Understand the Bubble Sort algorithm |
| Optimized Bubble Sort | 25% | Understand the optimization technique |
| Analysis | 25% | Understand the time and space complexity |
| Post-test | 15% | Solve All Questions |
Basic Concepts
What is Sorting?
Given a list of random numbers, sorting means ordering the numbers in either ascending or descending order. By default, we sort numbers in an ascending order.
Unsorted Array
Sorted Array
Time and Space Complexity
Time complexity of an algorithm gives the measure of time taken by it to run as a function of the length of the input. Similarly, Space complexity of an algorithm quantifies the amount of space or memory taken by an algorithm to run as a function of the length of the input.
Recall that suppose our input is an array of N elements, and our algorithm iterates through the array once, time complexity will be O(N). If I run two embedded loops to traverse the array N times, time complexity will be O(N²).
Aim
Understand the core objective of bubble sort.
Concept
Learn the basic principle behind bubble sort.
Algorithm
Explore the detailed steps of the bubble sort algorithm.
Demo
Interactive demonstration of the bubble sort process.
Practice
Hands-on exercises to practice bubble sort.
Exercise
Challenging exercises to test your understanding of bubble sort.
Quiz
Assess your knowledge with a quiz on bubble sort.
Optimized Bubble Sort
Optimized Bubble Sort implementation.
Code Assessment
Code assessment for the Bubble Sort algorithm.
Analysis
Analysis of the Bubble Sort algorithm.