Brian McLogan
What is a quadratic equation and its part
π Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Brian McLogan
Find the partial sum of a sequence of 25 terms
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brainwaves Video Anthology
Karl Alexander - The Thurgood Marshall Alliance
Karl Alexander received his B.A. degree from Temple University and his Ph.D. in Sociology from the University of North Carolina at Chapel Hill. He spent spent his entire academic career at Johns Hopkins. He has been President of the...
KnowMo
Calculating the Mode of a Data Set: Understanding and Examples
This video provides an explanation of how to calculate the mode of a data set. The mode is defined as the most frequent value in a set of data, and the video demonstrates how to identify the mode using examples of both quantitative and...
Brian McLogan
Write the nth term rule for a geometric sequence
π Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
What is the formula for find the coefficient of any term in a binomial expansion
π Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand...
Brian McLogan
Solving 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 determine the rule for a sequence
π Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic...
Brian McLogan
Finding the rule of the sequence using multiplication and addition
π Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic...
Brian McLogan
Finding the common difference of the sequence
π Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of...
Brian McLogan
Learn how to evaluate a limit at infinity
π We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Brian McLogan
Operations with grouping symbols
π Learn how to add and subtract polynomials by combining like terms. Identifying like terms allows us to combine terms. Like terms are when terms share the same base and power for each variable. When you have like terms you simply apply...
Brian McLogan
Overview Teacher Explains How to Multiply Polynomials Using Distributive Property
π Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Brian McLogan
Solving a quadratic by factoring using box method a is larger than one
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
Learn to solve a quadratic by the AC method of factoring
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
Solve a quadratic equation by factoring when given a difference of 2 squares
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...
Brian McLogan
Factoring trinomials #2 difference of two squares
πLearn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Brian McLogan
Finding the slope and y intercept by putting an equation in slope intercept form, 6x-3y=18
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Let's Tute
Solving Linear Equations Using Elimination Method
This is a problem-solving session for solving a system of linear equations using the elimination method. The video walks through the steps of solving a specific problem and finding the values of x and y.
Healthcare Triage
How Much Good Is Antibacterial Soap Doing You?
If something has a benefit, and no harms, then you should likely use it. But if something has no benefits, and potentially real harms, then you shouldn't. The latter is the case with antibacterial soap. Although the stuff is ubiquitous,...
Brian McLogan
Determine the Remaining Zeros Given One Zero
π Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Evaluating the partial sum of a arithmetic series
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brian McLogan
Finding the sum or an arithmetic series using summation notation
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...