Day 01 | Calculus & Statistical Distributions | Dinuka Wijerathne | Mora Pinnacles скачать в хорошем качестве

Day 01 | Calculus & Statistical Distributions | Dinuka Wijerathne | Mora Pinnacles

Welcome to the Semester 03 Calculus & Statistical Distributions module at Mora Pinnacles! In this first session, we dive into Vectors, the mathematical backbone of modern Data Science and AI. We move beyond simple arrows and explore how computers use vectors to understand language (AI), recommend movies (Netflix), and render graphics. We also cover the fundamental rules of Vector Spaces and Subspaces. 📌 Topics Covered: 1. Introduction: Scalars vs. Vectors 2. Vector Notation: 2D vs. 3D Vectors 3. Vector Operations: Addition, Scalar Multiplication & Dot Product 4. What is a Vector Space? (The "Closed" Rules) 5. Subspaces Explained: The "Province inside a Country" Analogy 6. Real-World Applications: How AI & Netflix Use Vectors Key Concepts: Scalars vs. Vectors: Magnitude vs. Direction. Dot Product: Used for calculating similarity in AI. Vector Space: A set of vectors closed under addition and multiplication. Subspace: A smaller space (like a plane) inside a larger space (3D). Lecturer: Dinuka Wijerathne #Calculus #Statistics #LinearAlgebra #Vectors #DataScienceMath #MoraPinnacles #Semester03 #ITDegree #VectorSpaces #BIT #UOM #Sinhala #ICT #Mathematics