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Algorithmic Thinking and Its Applications - Comprehensive Study Notes

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Complete and well-structured study notes for Algorithmic Thinking and Its Applications (ATA). This document includes in-depth coverage of fundamental algorithm design strategies, time and space complexity analysis (Big-O notation), core data structures, searching and sorting algorithms, dynamic programming, and recursion. Packed with solved examples, clear diagrams, and practice questions, making it an ideal resource for quick revision, assignments, and exam preparation.

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ALGORITHMIC THINKING & ITS
APPLICATIONS
ATA — Complete Notes
Prof. Dr. Dip Sankar Banerjee
Weeks 1–13

, WEEK 1 — Introduction to Algorithmic Thinking
• Big Problems → Smaller Steps → Converted into Computing Programs
• Everything is a part of an algorithm!
• Data has many varieties
• Algorithm = Structured way of breaking down big problems into smaller ones


Key Definitions
• Problem = Something that has solutions
• Algorithmic = Step-by-step formalizing, planning or execution (breaking problems into
steps)
• Thinking = Defining a problem (also define constraints) → Solve problem with formal
way


How to Solve a Problem
• Identify Problems → Break into Sub-Problems → Solve those Sub-Problems
• How to Represent an Algorithm:
◦ Flow Charts (Block Diagram)
◦ Pseudocodes


Flow Chart Symbols
• Start / End → Oval/Rounded shape
• Decision → Diamond shape
• Process → Rectangle
• Terminating after finite steps → Parallelogram


Abstraction
• High Level Abstraction → Short but Crisp (Gather Ingredients → Prepare Tea →
Serve Tea)
• Low Level Abstraction → Long & Detail (Boil Water → Add Tea Leaves → Brew →
Add Milk → Serve Tea)
• Abstraction = Focus on Essentials



WEEK 2 — Computers, Memory & Pseudocodes
• Problems → Solution using Set of Steps → Flow Chart → Pseudocode → Program
• Abstraction = Simplifying Complexity by giving sub-groups (Higher Abstraction &
Lower Abstraction)


Computer Basics
• Computer = Device which is capable of processing data
• Program = Set of steps / What to do? (List of Information given to computer)
• Information Store = Storage of machine → Binary Data

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