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Curated Video
Adding and Multiplying Equations in a System of Equations
In this video, the teacher explains how to solve a system of equations by adding a multiple of one equation to the other. They review the multiplication property of equality and the addition property of equality. Through trial and error,...
Curated Video
Completing the Square: Algebraic Method for a > 1
In this video, the teacher explains how to complete the square when the coefficient of the quadratic term is greater than one. They demonstrate the process using algebraic steps and provide examples for better understanding.
Brian McLogan
Finding the rule for a linear function when given a table - How to solve math problems
π How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear...
Brian McLogan
Learn how to use the second derivative test to determine relative extrema
π Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...
Brian McLogan
Find the derivative of the inverse of a trig equation
π Learn how to find the derivative of the inverse of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
Learn how to solve using quadratic formula
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...
Brian McLogan
Solve a system of linear equations using substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Learning to determine the number of sides of a regular polygon given one interior angle
π Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon...
Brian McLogan
Find the max and min of a linear function on the closed interval
π Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Curated Video
Recognize the Characteristics of a Linear Function
Understand how to recognize a linear function by examining its four representations: graph, algebraic equation, numeric table, and verbal description. Use examples to demonstrate the concept and highlight common mistakes. By...
Curated Video
Complete Python Scripting for Automation - Introduction to Data Structures and Types of Data Structures
Data Structures of Python: Introduction to Data Structures and Types of Data Structures
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This clip is from the chapter "Data Structures of Python" of the series "Complete Python Scripting for Automation".In this section, the...
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This clip is from the chapter "Data Structures of Python" of the series "Complete Python Scripting for Automation".In this section, the...
Brian McLogan
Learn how to find the critical values of a polynomial
π Learn how to find the critical values of a function. The critical values of a function are the points where the graph turns. They are also called the turning points of a function. To obtain the critical points of a function, first, we...
Brian McLogan
Solve a System of Linear Equations Using Elimination
πLearn 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...
R Programming 101
How to use ggplot to create beautiful scatter plots. This is an R programming for beginners video
Data visualisation is easy when you use ggplot. Ggplot2 is package and forms part of the tidyverse group of packages in R. Ggplot is used to create amazing plots and graphs. In this video I talk you though how to visualise two numeric...
Curated Video
Systems of Equations with No Solutions
In this video, the teacher explains the concept of systems of equations with no solutions. They demonstrate this by graphing two equations and showing that they have parallel lines with no points of intersection. They also explain how to...
Curated Video
Solving Quadratic Equations with Real Coefficients
In this lesson, students will learn how to solve any quadratic equation with real coefficients and express the solutions in the form a plus or minus bi. They will use the quadratic formula and learn how to simplify square roots of...
Brian McLogan
Using the inverse of an exponential equation to find the logarithm
π Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Finding a rule from a table of values using a combination of operations - Cool math
π How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear...
Brian McLogan
Evaluating Inverse Trigonometric Functions
π Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
Solving a two step equation
π Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...
Brian McLogan
Learn the basics to graphing a parabola in standard form
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Evaluating the composition of Functions
π Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
Given two triangles in the 2nd quadrant evaluate the sum of the angles
π Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
How to apply the quadratic formula to a quadratic with fractions
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...