In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the x-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry. (Wikipedia).
Ex: Identifying the Coordinates of Points on the Coordinate Plane
This video explains how to determine the coordinates of points on the coordinate plane. Complete Video List at http://www.mathispower4u.com Search by Topic at http://www.mathispower4u.wordpress.com
From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables
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From playlist Integers and The Coordinate Plane
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From playlist Coordinate Systems
Plotting Points on the Coordinate Plane
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From playlist Graphing Various Functions
Writing Vectors in Different Coordinate Systems
Description: Coordinate systems as we have conventionally thought of them are based on the standard basis vectors. But if we have some other basis, we can define a sensible notion of a coordinate system as well. Learning Objectives: 1) Write a vector in a specified basis into the standar
From playlist Older Linear Algebra Videos
Special Topics - GPS (1 of 100) The GPS Constellation
Visit http://ilectureonline.com for more math and science lectures! In this video I will overview the content of the GPS (Global Positioning System) and explain the GPS constellation. Next video in this series can be seen at: https://youtu.be/Cwr6oLdWvJQ
From playlist SPECIAL TOPICS 2 - GPS
Determine the Ordered Pairs for Points Plotted on the Coordinate Plane
This video explains how to determine the x and y coordinates of points plotted on the coordinate plane. http://mathispower4u.com
From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables
Introduction to Cylindrical Coordinates
This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
What is General Relativity? Lesson 43: Holonomic and Non-Holonomic Basis
What is General Relativity? Lesson 43: Holonomic and Non-Holonomic Basis Since we have already discussed coordinate systems, basis vectors, and commutator, now is as good a time as any to talk about how 4 arbitrary vector fields may or may not be tangent vectors to coordinate curves. That
From playlist What is General Relativity?
Tensor Calculus 2: The Two Conflicting Definitions of the Gradient
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
What is General Relativity? Lesson 4: Introduction to the Connection
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From playlist What is General Relativity?
What is General Relativity? Lesson 55 - Scalar Curvature Part 4: More Riemann Normal Coordinates
What is General Relativity? Lesson 55 - Scalar Curvature Part 4: More Riemann Normal Coordinates This is the third of a few lectures about the Scalar Curvature and its interpretation. In this lecture we refine the idea of Riemann Normal Coordinates ("RNC") and in the next lecture we will
From playlist What is General Relativity?
What is General Relativity? Lesson 65: Scalar curvature Part 14
What is General Relativity? Lesson 65: Scalar curvature Part 14 We continue our examination of Section 4.4.6 of "A Simple Introduction to Particle Physics Part II - Geometric Foundations of Relativity." We are pushing to the end of this analysis. In this lesson we work with a coordinate t
From playlist What is General Relativity?
What is General Relativity? Lesson 56 - Scalar curvature Part 5: More Riemann Normal Coordinates
What is General Relativity? Lesson 56 - Scalar curvature Part 5: More Riemann Normal Coordinates In this lecture we re-work the Riemann Normal Coordinate formalism from the point of view of a coordinate transformation and leaning on the Einstein Equivalence Principle. We also point out wh
From playlist What is General Relativity?
Why You Should STOP Using (x, y, z) Coordinates (in certain scenarios) - Polar Coordinates, Parth G
Offset your carbon footprint on Wren: https://www.wren.co/start/parthg The first 100 people who sign up will have 10 extra trees planted in their name! #polarcoordinates #coordinatesystem #cartesian Many of us will be familiar with the concept of using coordinates to represent positions i
From playlist Classical Physics by Parth G
Tensor Calculus 3a: The Covariant Basis
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
What is General Relativity? Lesson 53: Scalar Curvature Part 2 - The Tetrad Formalism
What is General Relativity? Lesson 53: Scalar Curvature Part 2 - The Tetrad Formalism In this lecture we introduce the tetrad formalism. This is a pre-requisite, in my opinion, to the study of Riemann Normal Coordinates, although RNC are not always introduced with the tetrad formalism in
From playlist What is General Relativity?
Gridlines in nonstandard coordinate systems.
Description: We use gridlines to conveniently plot points in the standard coordinate system all the time. But in a coordinate system defined by some other basis, there is a natural analogue of coordinate systems. Learning Objectives: 1) Given a basis, sketch a few gridlines 2) Find a poi
From playlist Older Linear Algebra Videos