Vector Fundamentals: Norms, Operations, and Dot Product Properties

Review essential pre-requisites and master vector fundamentals, including norms, operations, and the applications of the dot product.

3
Hours
LunarTech Academy
Certificate
Available online
Pre-Enroll Now
Vector Fundamentals: Norms, Operations, Dot Products, with Applications in Geometry and Analysis

In this course,
you'll learn

Vector Problem-Solving with Mathematical Tools

You will apply prerequisite mathematical concepts (norms, Euclidean distance, trigonometry, etc.) to solve vector-related problems.

Mastering the Language of Vectors

You will demonstrate a solid understanding of vector definitions, basic operations, and the significance of special vectors.

The Power of Linear Combinations in Vector Analysis

You will confidently use scalar multiplication and linear combinations for vector manipulation and analysis.

Vector Manipulation Mastery

You will calculate dot products, interpret their geometric meaning in terms of projections and angles, and grasp the importance of the Cauchy-Schwarz Inequality.

Your instructor

Tatev Aslanyan

Tatev brings industry experience, advanced AI/ML degrees, and a reputation as a thought leader in data science to LunarTech. Her publications in top journals and presentations at international conferences showcase her expertise.

Trusted by over 10.000 students

Course program

Here's a glimpse of what you'll learn throughout the course

Module 1

Mathematical Foundations for Vectors

Begin with an introduction to the importance of prerequisites. Then, refresh your understanding of essential concepts like norms & Euclidean distance, real numbers & vector spaces, and the Cartesian coordinate system & unit circle.

Module 2

Understanding Vectors & Their Operations pen_spark

Dive into the definition and basic operations of vectors. Explore special vectors (like the zero vector and unit vectors), and master scalar multiplication and linear combinations.

Module 3

The Dot Product & Its Power

Discover the dot product and its geometric significance. Learn how the dot product relates to projections and angles, and explore the important Cauchy-Schwarz Inequality.

Module 4

Module 5

Module 6

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