Fundamentals of Algorithms

Jul 7, 2025

Overview

This lecture introduces the fundamentals of algorithms, their importance in computer science, and distinguishes algorithms from computer programs, explaining their role in software development and competitive programming.

Introduction to Algorithms

  • Algorithms are a step-by-step procedure for solving computational problems.
  • Algorithms are fundamental in computer science curricula and are essential for exams and programming contests.
  • Mastery of algorithms helps in logical and strategic problem-solving for software development.

Importance and Application

  • Understanding algorithms is crucial for theoretical exams, job interviews, and entrance exams like GATE.
  • Algorithmic thinking is critical for competitions and real-world problem-solving scenarios.
  • Feedback and continuous practice are emphasized for mastering the subject.

Algorithms vs. Programs

  • The software development lifecycle includes design (algorithm) and implementation (program) phases.
  • Algorithms are created during the design phase using plain English or mathematical notation, independent of machine or syntax.
  • Programs are written in specific programming languages (e.g., C, Java) during the implementation phase and are hardware/OS-dependent.
  • Domain experts often write algorithms due to their problem knowledge, while programmers code them.
  • After writing an algorithm, it is analyzed for efficiency (time and space complexity), while programs are tested by execution.

Writing Algorithms

  • Algorithms can be written in any understandable language, including English or mathematical notation.
  • For clarity and familiarity, C language syntax is often used in algorithm representation.

Key Terms & Definitions

  • Algorithm — A step-by-step procedure for solving a computational problem.
  • Program — A set of instructions written in a programming language to implement an algorithm.
  • Design Phase — The stage where the algorithm is created.
  • Implementation Phase — The stage where the algorithm is converted into a program.
  • Domain Knowledge — Understanding specific subject areas relevant to the problem being solved.

Action Items / Next Steps

  • Follow lecture sequence numbers for a structured learning path.
  • Provide feedback on video/audio quality as requested by the instructor for course improvement.