Curated Video
Understanding Opposites on a Number Line
This video lesson explains the concept of opposites in numbers using a number line. It clarifies common misconceptions, such as assuming opposites are always negative or that 0 can have a positive or negative sign. The video demonstrates...
Brian McLogan
Understanding the discriminant as a part of the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Curated Video
Solving Inequalities with Negative Coefficients
In this video, the teacher explains the concept of solving inequalities containing negative coefficients. They discuss the importance of using the correct inequality sign and demonstrate an example where the sign needs to be switched to...
Catalyst University
Series | Introduction, Notation, Convergence & Divergence
Series | Introduction, Notation, Convergence & Divergence
Brian McLogan
Expanding the logarithm so that you can take the derivative
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Curated Video
Understanding Positive and Negative Numbers
In this video, the teacher explains the concept of positive and negative numbers by comparing their distance and direction from zero. The teacher uses number lines and real-life examples, such as money and temperature, to illustrate how...
Brian McLogan
Learn how to determine concavity and point of inflection AP style
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Brian McLogan
Finding a rule from a table of values using a combination of operations - Cool math
👉 How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear...
Curated Video
Solving Quadratic Equations with Real Coefficients
In this lesson, students will learn how to solve any quadratic equation with real coefficients and express the solutions in the form a plus or minus bi. They will use the quadratic formula and learn how to simplify square roots of...
Brian McLogan
How to apply the quadratic formula to a quadratic with fractions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Using the discriminate to describe the number and type of solutions
👉 Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...
Math Fortress
Differential Equations: Implicit Solutions (Level 3 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and...
Brian McLogan
Finding the implied domain of a function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Learn how to solve a quadratic equation using the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
How to use the discriminat to describe your solutions
👉 Learn how to determine 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...
Brian McLogan
Summary for solving one variable inequalities
👉 Learn about solving an inequality and graphing it's solution. An inequality is a relation where the expression in the left hand side is not equal to the expression in the right hand side of the inequality sign. A linear inequality is...
ATHS Engineering
Thermodynamics: Clarifying Common Misconceptions and Calculating Final Temperature
In this video, the teacher addresses a mistake made in a previous video on thermodynamics and clarifies the concept of energy conservation in closed thermodynamic systems. They provide examples and equations to show how to properly set...
Brian McLogan
Solve a quadratic equation using the quadratic formula when their are imaginary solutions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Why U
Pre-Algebra 29 - Roots and Unit Fraction Exponents
Exponents can not only be integers. They can also be fractions. Using the rules of exponents, we can see why a number raised to the power "one over n" is equivalent to the nth root of that number.
Brian McLogan
Conics section Characteristics of a parabola with vertical axis of symmetry
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Primer
Why do Things Exist? Setting the Stage for Evolution
Before thinking about living things, let's see what we can say about why raindrops and planets exist.
Brian McLogan
Solving and graphing and solving compound inequality into two separate inequalities
👉 Learn how to solve and graph compound linear inequalities. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the inverse operation to each...
Brian McLogan
How to add a cubic function and cube root function with domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Primer
Why do Things Exist? Setting the Stage for Evolution
Before thinking about living things, let's see what we can say about why raindrops and planets exist.