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...
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...
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...
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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?
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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...
Brian McLogan
Graphing a System of Equations by Eliminating the Fractions
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
Showing you have a proportion for similar triangle given points
👉 Learn how to determine whether two triangles are similar given the coordinate points of the vertices of the triangle. Two triangles are said to be equal when the corresponding angles of the triangles are congruent (equal) or when the...
Brian McLogan
Determine if a set of points is a trapezoid or not
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Brian McLogan
Determine the distance between two points using distance formula ex 1, A(3, 2) and B(6, 3)
👉 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
What are the formulas for the measure of angles outside of a circle
Learn the essential definitions of the parts of a circle. A secant line to a circle is a line that crosses exactly two points on the circle while a tangent line to a circle is a line that touches exactly one point on the circle. A chord...
Brian McLogan
How to write the equation of a circle given a circle on a graph
Learn how to write the equation of a circle. A circle is a closed shape such that all points are equidistance (equal distance) from a fixed point. The fixed point is called the center of the circle while the distance between any point of...
KnowMo
Introduction to Enlargements and Scale Factors
This video is a tutorial on the topic of enlargements. The video covers how to calculate scale factors and how to carry out an enlargement using the translation method. It also covers describing the sense of enlargement and negative...
Curated Video
Logical Concepts of Consequence and Equivalence
The video explains the logical concepts of consequence and equivalence. The presenter defines logical consequence as a scenario where if Statement A is true, then it implies that Statement B is also true. The video also explains the...
Virtually Passed
relative velocity derivation
This is an introduction to relative velocity. There is an animation at the end which helps highlight that the motion of a rigid body can be split into both rotational and translational movement. I also show (informally) that the velocity...
Brian McLogan
Learn how to find the geometric probability from a figure
Learn how to find the geometric probability of an event. Given a geometric figure, we can find the geometric probability of an event by taken the area of the part of the geometric figure satisfying the event divided by the area of the...
Brian McLogan
Algebra 2 - Learning how to subtract two complex numbers, (6 - i) - (-7 - 2i)
In this video playlist you will learn everything you need to know with complex and imaginary numbers (6 - i) - (-7 - 2i)
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Quadratic Equation Formula - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
Learn to graph an ellipse from an equation
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the...
Brian McLogan
Learn how to graph an ellipse
Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius...
Brian McLogan
Determine the foci vertices and center for an ellipse in general form
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...
Why U
Algebra 78 - Imaginary and Complex Numbers
The concept of imaginary and complex numbers was a powerful innovation that enabled mathematics to progress into previously uncharted territory. Although this concept was not entirely intuitive, extending our number system to include...