Brian McLogan
How to solve using the square root method
👉Learn 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
Summary for graphing an equation in slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To...
Brian McLogan
Find the equation of a line given two points
👉 Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
Graphing a linear equation in slope intercept form
👉 Learn how to graph linear equations given the slope and the y-intercept. When given the slope and the y-intercept of a linear graph, we first plot the y-intercept and using the slope, we can determine the rise and the run of the...
Brian McLogan
Where does the distance formula come from
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use...
Brian McLogan
Dividing two numbers in scientific notation then rewriting answer in scientific notation
👉 Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first...
Curated Video
Sketching Cubic Functions with Unfactored Elements
This is a lecture presentation on sketching cubic functions and identifying their intercepts and turning points. The presenter explains the general shape of a cubic function and different factorized forms for cubic functions with one,...
Curated Video
Proof by Deduction and Examples
In this video, the topic of "proof by deduction" is discussed. The concept of logical consequence is introduced and explained, and various examples are provided to demonstrate how to use proof by deduction to prove mathematical...
Brian McLogan
Learning to solve a quadratic with two irrational solutions using 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
Learn how to find the derivative of the integral
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Learn to write the polynomial give two real zeros
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Algebra 2 - Learn how to divide a real number by a complex number by simplifying, -3/(5 + i)
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Break down of rule of logarithms compared to rules of exponents
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
Graph a parabola with the vertex and fractions
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
Brian McLogan
Finding the standard form of a parabola given directrix and vertex
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Brian McLogan
Pre-Calculus - How to Evaluate Using the Double Angle Formula for Cosine
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
How to graph the resultant vector from the difference of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Curated Video
Subtracting Integers: Understanding the Difference Definition and its Relation to Distance
In this video, the teacher explains how to subtract integers using the difference definition of subtraction on a number line. They also discuss the concept of distance and how it relates to subtraction. The teacher provides examples and...
Virtually Passed
Spring Mass system Proof
A mass that is connected to a spring will undergo simple harmonic motion. This means it's Equation of Motion is x = A sin (w_n t + phi_1) where w_n = (k/m)^1/2 Note that w_n is the frequency of oscillation (rad/s) when there is NO...
Virtually Passed
Maths Puzzle - Probability of repeating event infinite times
If the probability of an event is 1/n what is the probability the event will happen at least once if the experiment is repeated n times? What happens as n approaches infinity?
Virtually Passed
cross product moment example
Calculating the moment of a force can be quite tricky (especially in 3 dimensions). A good way to solve these problems is to use the cross product noting that *M* = *r* x *F*
Brian McLogan
Learn how to subtract polynomials
👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
Solve a system with three variables
👉Learn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of...
Brian McLogan
Find the roots of a quadratic 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...