APMonitor
Solve Linear Equations with Python
Linear equations such as A*x=b are solved with NumPy in Python. This tutorial demonstrates how to create a matrix (A) and vector (b) as NumPy arrays and solve the set of equations with linalg.solve
Curated Video
Understanding Geometric Sequences and Exponential Functions
This video explains the concept of geometric sequences and their relationship to exponential functions. It covers the explicit rule for geometric sequences, how to find specific terms in the sequence, and how to graph the sequence on a...
Curated Video
Substituting Values to Determine Solutions in Linear Equations
In this video, the teacher explains how to determine if a point is a solution to a pair of linear equations by substituting values. The teacher demonstrates the process using examples and emphasizes the importance of checking both...
Curated Video
Graphing Square Root Functions with Transformations
In this video, the teacher explains how to graph square root functions by using transformations. They review the concept of square roots and discuss the different types of transformations that can affect the graph of a function. The...
Curated Video
Understanding Closed Operations for Polynomials
In this video, the teacher explains the concept of closed operations for polynomials. They demonstrate how addition, subtraction, and multiplication of integers and natural numbers result in solutions that are still within the same set....
Flipping Physics
Parallel Axis Theorem Derivation
Deriving the Parallel Axis Theorem for moment of inertia or rotational inertia.
Brian McLogan
Learn how to eliminate the parameter with linear equations
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Brian McLogan
Solve differentiable equations with In
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Finding Solutions to Linear Equations Using Tables
In this video, the teacher explains how to solve a pair of equations with two variables by using tables. They demonstrate how to find multiple solutions for each equation and then determine the common solutions between the two equations....
Curated Video
Using the Quadratic Formula to Solve Quadratic Equations with No Real Solutions
In this video, the teacher explains how to solve a quadratic equation that has no real solutions using the quadratic formula. The video also covers a review of imaginary and complex numbers, as well as a common mistake to avoid when...
Flipping Physics
Velocity as a function of Position in Simple Harmonic Motion
The velocity as a function of position of a horizontal mass-spring system is derived, graphed, and demonstrated. This is an AP Physics C: Mechanics topic. Content Times: 0:00 Simple Harmonic Motion Review 0:34 Total Mechanical Energy...
Brian McLogan
Learn how to simplify an expression to find the derivative
👉 Learn how to find the derivative of a function using the power rule. 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...
Curated Video
Graphing Parabolas Using Zeros and Vertex
In this video, the teacher explains how to use the zeros and vertex of a quadratic equation to graph a parabola. They review finding the solutions to a quadratic equation by factoring and emphasize that the solutions are not necessarily...
Brian McLogan
Write the equation of a line tangent to a polynomial through a point
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Visual Learning Systems
Fungi: Fungi Reproduction
From making bread to decomposing things in the environment, fungi play a very important role in our lives. Vivid video footage, accompanied by colorful animations, illustrates the fascinating origin, diversity, and characteristics of...
Brian McLogan
First derivative test of rational function
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Curated Video
Finding the Center and Radius of a Circle Using the Equation
In this video, mathematicians learn how to find the center and radius of a circle by analyzing its equation. The video explains the key components of a circle, such as the center and radius, and then breaks down the standard form of a...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 5 of 10)
This video continues the exploration of a three dimensional Cartesian coordinate system.This video covers two basic examples requiring the use of the distance formula in three dimensions. In addition, the equation of a sphere is also...
Curated Video
Predicting Solutions of Linear Equations
In this video, the teacher explains how to predict the number of solutions in linear equations by identifying key features. They demonstrate examples of equations with one solution, no solutions, and infinitely many solutions,...
Curated Video
Determining End Behavior of Polynomials
In this video, we explore the concept of end behavior in polynomials. We learn that the behavior of a polynomial as x approaches positive or negative infinity depends on the degree and leading coefficient of the polynomial. We examine...
Brian McLogan
Eliminate the parameter to obtain a radical function
I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. I believe everyone can learn math...
Curated Video
Subtracting Multiples of 100 Using a Number Line
In this video, students learn how to subtract multiples of 100 from a number using a number line. The teacher explains the concept by demonstrating with various examples and encourages students to use their knowledge of place value to...
Curated Video
Solving Quadratic Equations by Completing the Square
In this video lesson, you will learn how to solve any equation of the form x squared plus bx plus c equals 0 by completing the square. The teacher explains the steps involved in completing the square and demonstrates with examples....