Math Fortress
Differential Equations: Families of Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations.
Curated Video
Word Problem Solving with Models
In this video lesson, students learn how to solve word problems by creating a model. The teacher demonstrates how to represent the number of children in a pool using blocks, and then adds more blocks to represent additional children...
Curated Video
Understanding Strategic Interactions between Economic Agents
The video explains the economic applications of game theory and how it can help us understand the interactions between economic agents such as countries, firms, and producers. The concepts of game theory, players, rules, outcomes, and...
Curated Video
Solving Equations with Infinite Solutions
In this video, the teacher explains how to solve equations with infinite solutions using inverse operations. They provide examples of equations with one solution, no solution, and infinite solutions, and demonstrate the steps to solve...
Brian McLogan
Solve the general solution for differentiable equation with trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Solving Systems of Equations by Elimination
In this video lesson, students will learn how to solve systems of equations using the elimination method. The lesson explains the concept of systems of equations and the importance of finding exact solutions. It demonstrates how to...
Curated Video
Adding Equations in a System: Commonalities in Tables and Graphs
In this lesson, students will learn what happens when equations in a system are added together. By observing tables of values and graphs, they will understand that adding two linear equations creates a new system with the same solution...
Curated Video
Game Theory: An Introduction to Payoff Matrices and the Prisoner's Dilemma Game
The video describes the basic concepts of game theory and uses the example of the prisoner's dilemma game to explain the Nash equilibrium. The video also discusses the use of the payoff matrix as a tool for analyzing outcomes within a...
Curated Video
Understanding Quadratic Roots: Analyzing the Discriminant
In this video, the teacher explains how to determine the nature of the roots of a quadratic equation by examining the discriminant. The discriminant is the part under the square root in the quadratic formula, and its value can indicate...
Curated Video
Multiple Solution Techniques for Linear Equations and Inequalities
This video emphasizes that there are multiple ways to solve linear equations and inequalities. It showcases different solution techniques such as applying the distributive property, using division, rearranging variables, finding common...
Brian McLogan
How to sketch the particular equation from the slope field
Learn how to create slope fields and sketch the particular solution to a differential equation. Slope fields are tools used to graphically obtain the solutions to a differential equation. It is the estimation of the graphical...
Brian McLogan
Find the particular solution with exponential and inverse trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Zach Star
Dear Calculus 2 Students, This is why you're learning Taylor Series
Dear Calculus 2 Students, This is why you're learning Taylor Series
Visual Learning Systems
Solutions at Work: Video Assessment
Upon viewing the Solutions at Work video series, students will be able to do the following: Explain that a solution is a type of mixture made of two or more substances that are evenly distributed. Provide an example of a common solution....
Curated Video
Testing Solutions to Systems of Equations
In this video, the teacher explains how to determine if a pair of numbers is a solution to a system of linear equations. By systematically testing values, the teacher demonstrates how to find the values of X and Y that satisfy both...
Curated Video
Interpreting Solutions to Equations and Inequalities
In this video lesson, students will learn how to interpret solutions to equations and inequalities. They will understand the meaning of the equal sign and how it represents the same value on both sides of the equation. They will also...
Curated Video
Solving Linear Equations with Rational Numbers: Examples with Integers
In this lesson, students will learn how to solve linear equations with rational numbers by using examples with integers. They will understand that equations can have different numbers of solutions and will be able to identify whether an...
Brian McLogan
How to determine the general solution to a differential equation
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
APMonitor
Solve Nonlinear Equations with Microsoft Excel
The GRG (Generalized Reduced Gradient) solver in Excel can be used to solve sets of nonlinear equations. The nonlinear functions are input as cells and equation residuals are minimized. Functions can either be included as equality...
Curated Video
Identifying Systems of Equations with No Solutions
In this lesson, students will learn how to identify systems of equations with no solutions. They will understand that a system of equations is when two or more equations have the same variables and values. Through graphical and algebraic...
Next Animation Studio
Carbon capture system turns CO2 into usable electricity and hydrogen fuel
Scientists have developed a new carbon capture system that absorbs CO2 and produces useable electricity and hydrogen fuel.
Curated Video
Finding the X Coordinate of the Intersection of Two Equations
In this video, the teacher explains how to find the X coordinate of the point of intersection of two equations without graphing or making a chart. They review slope intercept form and explain how to determine the slope and Y intercept....
Curated Video
The Consequences of Osmosis
The video is a lecture presentation discussing the consequences of osmosis. The presenter explains what osmosis is and how it works, with a focus on the movement of water molecules through partially permeable membranes. They also explain...