Brian McLogan
An introduction into the law of sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...
Brian McLogan
Evaluate the integral using the area of a semi circle
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Solve a quadratic by applying 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
Solving for x Using Two Parallel Lines and a Transversal - Free Math Videos
👉 Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry,...
Curated Video
Simplifying Expressions with Parentheses
Understand the importance of following the order of operations and how to identify which operations to do first by using parentheses. By using this technique, students can simplify complex expressions and solve them correctly.
Brainwaves Video Anthology
Michael Soskil - Global Service Learning
Michael is the head teacher of Wallenpaupack South Elementary School in Newfoundland, Pennsylvania and recipient of the Presidential Award for Excellence in Math and Science Teaching. Having looked at neuroscience research, he bases his...
Flipping Physics
Don't Drop Your Camera 5.0 Seconds After Liftoff
An advanced free-fall acceleration problem involving 2 parts and 2 objects. Problem: You are wearing your rocket pack (total mass = 75 kg) that accelerates you upward at a constant 10.5 m/s^2. While preparing to take pictures of the...
Brian McLogan
Implicit differentiation with the chain rule and in
👉 Learn how to find the derivative of an implicit 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...
Curated Video
Understanding Linear Equations: Infinitely Many Solutions
In this video, the teacher explains that linear equations can have infinitely many solutions by transforming them into a simpler form. The properties of equality are introduced, showing that adding, subtracting, multiplying, and dividing...
Curated Video
Solving Systems of Quadratic and Linear Equations by Graphing
In this video, the teacher explains how to solve a system of equations that includes both a quadratic and a linear equation by graphing. They emphasize the importance of accurately sketching the graphs and provide examples to illustrate...
APMonitor
Python 🐍 Solve Nonlinear Equations with fsolve
This tutorial is an introduction to solving nonlinear equations with Python. The solution to linear equations is through matrix operations while sets of nonlinear equations require a solver such as Scipy optimize fsolve to numerically...
Brian McLogan
Given a list of three zeros find the factors of the polynomial
👉 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
How to find the domain of a rational equation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Curated Video
Your First Pitch - Slide 2
In this video, you will learn how to talk about the big overarching problem and solution.
Brian McLogan
Solving an equations using the sum and difference formulas of cosine
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
Determine the paticular solution of integration
👉 Learn how to find the particular solution to the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral...
Brian McLogan
How to Solve a System of Equations Using Elimination
👉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...
Curated Video
Creational Design Patterns in Modern C++ - Introduction to Patterns
This video explains the concept of patterns. • `struct` ? `enum class` ? `variant` progression • Product and sum types • Variants versus unions This clip is from the chapter "Introduction" of the series "Creational Design Patterns in...
Curated Video
Solving a System of Quadratic and Linear Equations by Substitution
In this lesson, students will learn how to solve a system of a quadratic and linear equation using substitution. They will understand that a system is a group of equations and its solution makes both equations true simultaneously.
Why U
Algebra 45 - Three Variable Systems with Infinite or Null Solution Sets
When solving a system of linear equations with a single solution, we get a unique value for each variable. But how do we recognize when a system of equations has infinitely many solutions or no solutions?
Brian McLogan
Finding the implied domain of a function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Learn to find the zeros 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...
Virtually Passed
Optimal path to rescue friend - Math Puzzle
Your friend starts moving in a line with a speed u. You arrive T seconds later and can drive after him in whatever path you like with a speed v. What path guarantees you intersect his position? Timestamps: 0:00 - Introduction & Question...