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This video describes how to analyze fully nonlinear differential equations by analyzing the linearized dynamics near a fixed point.

... Tangent Line Approximations: https://www.youtube.com/watch?v=XQaCbFMnDo0 Differentials & Local Linearization: ...

Now that we have some familiarity with linear systems, we are going to leverage that knowledge to understand nonlinear ...

In Calculus, the local linearization to a differentiable function f near a point x=a is a linear approximation given by ...

We work through local linearization examples (tangent line approximations) and illustrate them graphically, with an emphasis on ...

This video shows how to draw phase portraits and analyze fully nonlinear systems. Specifically, we identify all of the fixed points, ...

local linearization.

Using the tangent line to a curve as a linear approximation for the function near the point of tangency. Examples finding the ...

We will explore the concept of local linearity and use tangent lines to estimate values on complex functions. This video is intended ...

In numerical analysis, the local linearization (LL) method is a general strategy for designing numerical integrators for differential ...

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: ...

This is the local linearization (approximation) VOD I am using the GOLD vod as I felt I explained it a bit better than in the RED day.

Instruction on local linearity and using local linearization to estimate function values. Corresponding notes for video can be found ...

D10: Linear Approximations: Create linear approximations of basic functions and compare actual values to approximate values ...

In this video, we upgrade tangent lines to tangent planes.

The linearization technique developed for 1D systems is extended to 2D. We approximate the phase portrait near a fixed point by ...

Plus that okay so this was our tangent plane this is our local linearization and so all we did from this step to this step is we ...

Learn how to approximate the value of a function using the equation of a tangent line. Guided Notes: ...