Virtually Passed
Stability of Fixed Points PROOF | Nonlinear Dynamics (Part 1 extra)
This video deals with nonlinear differential equations in the form: dx/dt = f(x) To find out whether a fixed point is stable or not, a linear stability analysis is done whereby the function is approximated as a line. If the slope of that...
Virtually Passed
1.1 Stability of Fixed Points PROOF | Nonlinear Dynamics
This video deals with nonlinear differential equations in the form: dx/dt = f(x) To find out whether a fixed point is stable or not, a linear stability analysis is done whereby the function is approximated as a line. If the slope of that...
Virtually Passed
A better way to understand Differential Equations | Nonlinear Dynamics (Part 4) | Index Theory
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...
Virtually Passed
4.0 A better way to understand Differential Equations | Nonlinear Dynamics | Index Theory
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...
Curated Video
Comparing Linear and Exponential Growth at a Specific Point in Time
In this video lesson, students learn how to determine which growth pattern, linear or exponential, will exceed the other at a specific point in time. By writing function equations and substituting values, students can compare the growth...
Curated Video
Introduction to Quadratic Functions and Graphs
In this video, the presenter provides an introduction to quadratic functions and graphs. They start by defining what a quadratic is and explaining the standard format of the quadratic equation. They also describe the two distinct shapes...
Curated Video
Finding Zeros of Quadratic Functions: The Power of Factored Form
In this lesson, we explore the different forms of quadratic functions and how they provide useful information about the function. Specifically, we focus on the factored form of a quadratic function, which allows us to easily identify the...
Why U
Algebra 87 - Graphing Polynomial Functions - Part 2
When sketching the graph of a polynomial function, it may not be necessary to calculate numerous points on the graph. Many clues as to the general shape of the graph can be derived if we understand the characteristics that the graphs of...
Brian McLogan
Overview of solutions of a quadratic function and the discriminant
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...
Curated Video
Microsoft Excel 2021365 - Beginner to Advanced - Creating a Linear Sales Forecast
In this video, you will learn how to create a linear sales forecast.
Flipping Physics
Continuous Charge Distributions - Review for AP Physics C: Electricity and Magnetism
AP Physics C: Electricity and Magnetism review of continuous charge distributions including: derivation of the integral E Field equation, requirements specific to the AP curriculum, charge densities, a full solution to finding the...
Why U
Algebra 64 - Quadratic Functions and Polynomials
In this lecture, quadratic functions are introduced. We show that a quadratic may be a monomial, binomial, or trinomial, and that the graph of a quadratic function in a single variable is always a parabola. Quadratic functions are one...
Curated Video
Exponential Growth and Graphing
In this video, the teacher explains the concept of exponential growth using the example of bacteria multiplying in a Petri dish. The teacher demonstrates how to graph and calculate the number of bacteria using the exponential function F...
Brian McLogan
Full Lesson: Rational Functions
In this video series you will learn how to graph a system of linear inequalities. When graphing a system of linear inequalities you will graph just like a system of linear equations except you will use test points to shade.
Brian McLogan
Factoring a trinomials to find the zeros of a function
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Learn how to graph an exponential equation with a new y intercept and no transformations
👉 Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the...
Brian McLogan
How to sketch the graph a polynomial using factors and multiplicity
👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the...
Curated Video
Apply Coordinate Geometry Concepts to answer this Circles Question!
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
Flipping Physics
(1 of 2) Electricity and Magnetism - Review of All Topics - AP Physics C
0:00 Intro 0:25 Coulomb's Law (Electric Force) 1:25 Electric Field (Definition and Caused by a Point Charge) 1:58 Electric Field Lines 2:23 Linear, Surface and Volumetric Charge Densities 2:44 Electric Flux 3:12 Gauss' Law (Everybody's...
Curated Video
Upgrade your Indices Skills with this Question!
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
Curated Video
Test your Indices Skills with this question!
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
Curated Video
Indices Question
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
Curated Video
Data Science Prerequisites - Numpy, Matplotlib, and Pandas in Python - Where to Learn More NumPy
In this video, we will understand why we need NumPy and how it is applied in more advanced scenarios. This clip is from the chapter "NumPy" of the series "Data Science Prerequisites - NumPy, Matplotlib, and Pandas in Python".In this...
Curated Video
Statistical Regression Models and Predicting Values
This video discusses how to determine the best statistical regression model to approximate data within a scatter plot and make predictions through interpolation and extrapolation. It covers the process of inputting data into a graphing...