Brian McLogan
Completing the square to identify the foci center and vertices of an ellipse
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Curated Video
CompTIA Security+ Certification SY0-601: The Total Course - Enabling Multifactor Authentication
Multifactor authentication (MFA) hardens user sign-in by requiring more than one factor, or category of authentication, such as something you know combined with something you have. This clip is from the chapter "Identity and Account...
Brian McLogan
Midpoint riemann sum approximation
π Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
How to find the value that makes a piecewise function continuous
π 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...
Brian McLogan
Learn to determine the points where a function is non differentiable
π 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
Solving using the quadratic formula with complex solutions
π 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...
Catalyst University
Fick's First Law (2): Flux and Concentration Gradient With Example #1
Fick's First Law (2): Flux and Concentration Gradient With Example #1
Brian McLogan
Solving logarithmic equations with extraneous solution
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Solving a logarithmic equation using the quadratic formula
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
In General form find the foci, vertices and center of an ellipse
Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...
Brian McLogan
Learning to write the domain of a rational function with an asymptotes and hole
π Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Quadratic Equations | Solve by factoring | Free Math Videos
Quadratic Equations | Solve by factoring | Free Math Videos
Brian McLogan
Learn to evaluate the limit of the absolute value function
π Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value...
Brian McLogan
Applying the difference of two squares to solve a quadratic
πLearn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Curated Video
Completing the Square in Quadratic Expressions with Leading Coefficient Not Equal to 1: Area Model
In this video, the teacher uses area blocks to visually represent the polynomial and demonstrates how to rearrange the blocks to form completed squares. By adding and subtracting blocks, the teacher shows how the expression can be...
Curated Video
Multiplying Fluently by Combining Known Facts
In this video, students learn how to multiply fluently by combining known facts. They are taught to break down numbers into smaller parts and use their knowledge of multiplication facts to solve tricky multiplication problems quickly.
Brian McLogan
Solving an equation using the half angle formula of sine
π Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...
Curated Video
Completing the Square to Reveal Maximum When a=-1
This video introduces how to find the maximum value of a quadratic function by completing the square. It goes through the process step by step, emphasizing the importance of factoring out the leading coefficient and adding/subtracting...
Brian McLogan
How to solve exponential equation by factoring
π Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Brian McLogan
Learn how to graph & label the parts of a parabola with completing the square
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Using the double angle formula for sine to solve the trigonometric function
π Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Summary for solving a quadratic by the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to graph a quadratic using vertex formula and a table
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...