APMonitor
Data Science 🐍 Solve Equations
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...
Brian McLogan
What do I need to know to graph a system of linear inequalities
👉 Learn about graphing a system of inequalities. A system of inequalities is a set of more than one inequalities which are to be solved simultaneously. To solve a system of inequalities graphically, we graph the individual inequalities...
Curated Video
Approximating Solutions to Systems of Equations by Graphing
IBy graphing equations and identifying the intersection point, you can determine the approximate solution. This method allows you to visualize the solutions and make estimations even when the intersection point is not on integers.
Curated Video
Determining the Number of Solutions in Equations by Recognizing Patterns
In this video lesson, students will learn how to determine the number of solutions an equation has by recognizing patterns. The teacher explains the concepts of one solution, no solution, and infinite solutions using examples and...
Curated Video
Solving Linear Equations: Choosing Between Division and Distribution
In this video, students learn how to solve linear equations by choosing between dividing or distributing. The teacher explains the properties of equality and demonstrates solving equations using both methods.
Curated Video
Understanding the Elimination Method for Solving Systems of Equations
The elimination method is an algebraic method used to solve systems of equations. It simplifies two equations with two variables to one equation with one variable by getting opposite coefficients.
Brian McLogan
How to determine the points of differentiability
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Brian McLogan
Learn how to eliminate the parameter with trig functions
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Virtually Passed
cuvilinear n t coordinate systems example
If you're given the parametric equations describing the path of a particle. How do you find out the accelerations in the normal and tangential direction? Find the velocity and you know the tangential direction. Find the acceleration and...
Curated Video
Estimating Solutions of Systems of Equations by Graphing
In this lesson, students will learn how to estimate the solution of a system of equations by graphing. They will review the concept of intercepts and how to find them. By graphing the equations and identifying the point of intersection,...
Curated Video
Solving Systems of Equations using Linear Combination
In this video, we learn how to solve a system of equations using linear combination, also known as elimination. The teacher explains the process step by step and provides examples to demonstrate the concept. By adding the two equations...
Brian McLogan
What is the formula for component form of a vector
in this video series I will show you how to find the angle of a vector when given in component form or as a linear combination. To understand the direction of a vector it is important to go back to the unit circle and determine how we...
Flipping Physics
Demonstrating What Changes the Period of Simple Harmonic Motion
Period of simple harmonic motion is defined and demonstrated. Equations for period of mass-spring systems and pendulums are given. What changes the period is demonstrated.
Why U
Algebra 61 - Gauss-Jordan Elimination with Inconsistent Systems
When Gauss-Jordan elimination transforms a matrix representing an inconsistent system of linear equations to reduced row-echelon form, a matrix row containing all zero coefficient entries and a non-zero constant entry is produced,...
APMonitor
Symbolic Manipulation in Python
The SymPy package computes symbolic solutions to simplify, expand, factor, differentiate, integrate, and solve equations. These problems cover a range of SymPy functions.
Why U
Pre-Algebra 27 - Raising Exponential Expressions to Powers
If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.
Flipping Physics
Harnessing the Power of Spreadsheets in Physics
Basic demonstration of how to use spreadsheets in an introductory physics class.
Flipping Physics
Review of Mechanical Energy and Momentum Equations and When To Use Them!
By the time students learn about all the equations for mechanical energy, momentum, impulse and impact force, they often start to confuse the equations with one another. This is a straightforward, simple look at all of those equations...
Curated Video
Adding Integers with the Same Sign Using a Number Line
This video explains how to add negative numbers by using a number line. It demonstrates that adding negative numbers is similar to adding positive numbers, as both involve moving in the same direction on the number line. The video also...
Curated Video
Determining Correct Shading of Half Planes on a Graph
In this video, we demonstrate the process of choosing points on the line and in the shaded region to check if they make the inequality true. By using these methods, students can ensure that they have accurately shaded the correct half...
Curated Video
Solving Pairs of Linear Equations Visually with Visual Models
In this video, you will learn how to solve pairs of linear equations visually by using visual models. The teacher explains how drawings can help in solving equations and demonstrates this through examples.
Brian McLogan
Find the value makes a piecewise function continuous with system of equations
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Curated Video
Understanding Half Equations in Electrochemistry
The video gives a brief overview of oxidation and reduction and then focuses on reactions at the cathode and anode in an electrolytic cell. The concept of half equations is introduced and demonstrated through examples, with a focus on...