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Introduction to Linear Algebra - Wild Linear Algebra A 1 - NJ Wildberger

Insights into Mathematics via YouTube

Overview

This course on Linear Algebra aims to provide a more geometric and natural approach to the subject, emphasizing the connection between algebra and geometry. The learning outcomes include understanding the affine grid plane, working with vectors and coordinates, and solving the main problem of linear algebra. The course teaches essential vector operations, coordinate transformations, and solutions in one and two dimensions. The teaching method involves lectures with a focus on geometric interpretations and applications. The intended audience includes first-year college or undergraduate students, motivated high school students, high school teachers, and anyone interested in mathematics.

Syllabus

Intro
Course Overview
What is Linear Algebra
Two Dimensional Affine Grid Plane
Vectors and Coordinates
Refining the Grid Plane
Essential Vector Operations
Describing Vectors with Two Different Coordinate Systems
Generalizing Coordinate Transformations
Main problem of Linear Algebra
General Solution in One and Two Dimensions
Outstanding Questions
Exercises

Taught by

Insights into Mathematics

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