Functions (Foundations of Computer Science)
Channel: Sparky's Training Academy
Date: 19/04/2024

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In this lecture, we explore fundamental concepts of mathematical functions, such as domain, range, function notations, and types, highlighting their significance in both theoretical mathematics and practical applications in computer science. Starting with the basic definition of functions, the lecture delves into specific types like injective, surjective, and bijective functions, explaining each with straightforward examples. We also cover function notations and operations, including function composition and inverse functions, showing their mathematical and programming implementations. This foundational understanding equips us with the necessary tools to use and analyze functions effectively in various computational and mathematical contexts, demonstrating their crucial role in structuring data, coding, and problem-solving in technology and applied sciences.

00:00 - Intro
00:13 - What is a Function?
00:58 - Domain and Range
01:48 - Function Notation
02:40 - Injective Functions
03:25 - Surjective Functions
04:12 - Bijective Functions
05:07 - Inverse Functions
06:01 - Function Composition
06:41 - Python and Functions
07:37 - Recap: Functions