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Catalyst University
Show The Factor by Which Electricity is Stronger than Gravity
Show The Factor by Which Electricity is Stronger than Gravity
Brian McLogan
Solving an exponential equation by taking log of both sides
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
Using the properties of Natural logs to solve an exponential equations
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
How to find the angle between two vectors written as a linear combination
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
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
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
Solving a natural logarithmic equation using quadratic formula with e
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
How to use pram to approximate the integral of a data set
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
Find the area of a parallelogram using special right triangles
π Learn all about Area and Perimeter. In this playlist, we will explore how to determine the area and perimeter of 2-dimensional figures. We will also look into combinations of figures. The focus will be on rectangles, squares,...
Brian McLogan
Algebra 2 - Why do we rationalize the denominator with complex numbers, (6 + 8i)/9i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Brian McLogan
Conics how to write the equation of an ellipse given a vertex and focus
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
How to use a 45 45 90 special right triangle to determine the sides of a triangle
π Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Brian McLogan
How to solve a logarithmic equation using the quotient property
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
Algebra 2 - Why do we use complex numbers for square roots
In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex numbers.
Catalyst University
Geometry | The Super-Pythagorean Theorem [Diagonal of a Prism]
In this video, we calculate the length of the diagonal in a rectangular prism using the Super-Pythagorean Theorem [with example].<br/>
Brian McLogan
Solving exponential growth model problems
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
How to find the missing side of a triangle using cosine
π Learn how to find a missing side length of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a...
Brian McLogan
Solving a natural logarithmic equation with a root logβ‘
π Learn how to solve natural logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a natural logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the...
Brian McLogan
Factoring out a GCF then solving using 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
Master Evaluating Logarithmic Expressions using the Change of Base Formula
Welcome, ladies and gentlemen. So what I'd like to do is show you how to use the change of base formula to evaluate for a logarithm. Now, while many calculators allow you to kind of choose whatever base you...
Brian McLogan
Graphing logarithmic equations
π Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Curated Video
Finding the Area of a Circle Using Circumference
In this video, the teacher explains how to find the area of a circle using the circumference. They review the formulas for the area and circumference of a circle and highlight a common mistake in calculating the radius.
Brian McLogan
Learn how to take log of both sides to solve an exponential equation
π Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as single terms. Then, we express the single...
Brian McLogan
Master How to determine the area of a triangle using Heron's formula
Master How to determine the area of a triangle using Heron's formula