Instructional Video14:34
Virtually Passed

4.0 A better way to understand Differential Equations | Nonlinear Dynamics | Index Theory

Higher Ed
Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...
Instructional Video3:06
Curated Video

Identifying Linear and Nonlinear Equations

9th - 12th
In this video, the teacher explains how to determine whether an equation is linear or nonlinear by identifying the exponent of the variable. The teacher provides five equations and asks the viewer to determine which ones are linear and...
Instructional Video10:26
APMonitor

Solve Nonlinear Equations with Excel

10th - Higher Ed
Microsoft Excel is used to solve a set of nonlinear equations with the Excel solver add-in.
Instructional Video35:25
APMonitor

Data Science 🐍 Solve Equations

10th - Higher Ed
Equations are at the root of data science. It is what turns data into actionable information by developing mathematical expressions that mimic physical systems. There are two primary ways to solve equations. The first method is a numeric...
Instructional Video8:40
APMonitor

Solve Nonlinear Equations with Python

10th - Higher Ed
This tutorial demonstrates how to set up and solve a set of nonlinear equations in Python using the SciPy Optimize package.
Instructional Video5:54
Curated Video

Modeling Population Dynamics: Exponential Equations and Stabilization

K - 5th
In this video, the concept of exponential functions is explained, specifically in relation to population growth and decay. The MacArthur-Wilson theory of biogeography is also discussed, which explores the equilibrium point between...
Instructional Video7:08
APMonitor

Solve Nonlinear Equations with MATLAB

10th - Higher Ed
MATLAB solves nonlinear equations either symbolically or numerically with solvers such as "fsolve". This example demonstrates how to obtain a solution to sets of nonlinear equations.
Instructional Video4:43
Curated Video

Predicting Possible Collisions Using Nonlinear Equations

K - 5th
In this video, students learn how to predict possible collisions by writing and solving a system of nonlinear equations using graphs of quadratic equations. The lesson covers the basics of quadratic equations, including circles,...
Instructional Video4:53
Curated Video

Solving Systems of Non-Linear Equations Using Perimeter and Area Formulas

K - 5th
In this video, the teacher explains how to write and solve systems of non-linear equations using parameter and area formulas and substitution. The examples given involve finding the dimensions of rectangular cornfields based on given...
Instructional Video14:56
Virtually Passed

A better way to understand Differential Equations | Nonlinear Dynamics (Part 4) | Index Theory

Higher Ed
Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...
Instructional Video
Khan Academy

Khan Academy: Non Linear Systems of Equations: Systems of Nonlinear Equations 3

9th - 10th Standards
A demonstration on how to find the solution of a linear and a nonlinear systems of equations graphically and by the substitution method.