Professor Dave Explains
Unpacking the Schrödinger Equation
We've talked about the Schrödinger equation before, but we really didn't dig into it with any depth at all. Now it's time to really get in there and do the math. What is the Hamiltonian operator? What is the time-independent Schrödinger...
Math Fortress
Calculus III: Three Dimensional Vectors (Level 2 of 3)
This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 6 intermediate examples are covered illustrating how to solve problems that make use of vectors in space.
Flipping Physics
Conservative Force and Potential Energy
The equation which relates a conservative force to potential energy is derived. Examples are shown which prove the equation to be correct. An example is worked through and a gravitational comparison is made. Want Lecture Notes?...
Math Fortress
Algebra II: Quadratic Equations - Factoring (Level 8 of 10)
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over an example where the coefficient of the quadratic term is greater than 1. The example involves an...
Flipping Physics
Work due to Friction equals Change in Mechanical Energy Problem by Billy
Enjoy learning from Billy as he solves a problem using Work due to Friction equals Change in Mechanical Energy.
Curated Video
Demonstrate the Commutative Property of Addition with a number line
In this lesson you will learn to demonstrate the commutative property of addition by using a number line.
Why U
Algebra 51 - Three Variable Systems in the Real World - Problem 3
Algebra 49, 50 and 51 present three real-world problems which can be solved using systems of three linear equations in three variables. This chapter shows how the parameters of an equation for a circle can be determined, given three...
Curated Video
Analyzing Quadratic and Linear Functions in Real Life Word Problems
In this video, we explore the concept of domain restrictions in quadratic functions by analyzing real-life scenarios involving linear and quadratic functions. We learn about function notation, linear functions with constant rate of...
Flipping Physics
Understanding and Walking Position as a function of Time Graphs
In this lesson we derive that the slope of a position versus time graph is velocity. We also walk through several position as a function of time graphs to understand what they mean.
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 Quadratic Functions with No Zeros or Real Roots
This video discusses the limitations of using zeros to graph a quadratic function and introduces the concept of functions with no zeros or real roots. It explains that if a quadratic function has no real number values that make it equal...
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...
Curated Video
Solving Quadratic Equations with No Real Solutions Using Completing the Square
In this video, the teacher explains how to solve a quadratic equation with no real solutions using the method of completing the square. They also review complex numbers and common mistakes to avoid when dealing with leading coefficients....
Math Fortress
Calculus III: Two Dimensional Vectors (Level 12 of 13)
This video is a review of Two Dimensional Vectors. This video goes over applications of vectors. 3 examples are covered illustrating how to solve static equilibrium problems.
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...
Math Fortress
Calculus III: Two Dimensional Vectors (Level 4 of 13)
This video is a review of Two Dimensional Vectors. This video goes vector operations also known as vector arithmetic. Topics include: geometric interpretation of scalar multiplication of a vector, vector addition, and vector subtraction.
Brian McLogan
Learn how to solve a related rate of loosing water from a cone
👉 Learn how to take the derivative of a function. Learn how to find the derivative of a function using the chain 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...
Curated Video
Julia for Data Science (Video 17)
Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine performance...
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...
Brian McLogan
Subtracting two functions reciprocal so we can find the domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Flipping Physics
Determining the Static Coefficient of Friction between Tires and Snow
We use Newton’s Second Law and Uniformly Accelerated Motion to experimentally determine the Static Coefficient of Friction between Tires and Snow.
Curated Video
Combining Opposite Rational Numbers to Make Zero on a Number Line
In this lesson, students will learn how to use a number line to show that opposite rational numbers combine to make zero. They will understand that rational numbers include integers and can be expressed as fractions. Through real-life...
Curated Video
Describing the End Behavior of Polynomial and Exponential Functions
In this lesson, students will learn how to describe the end behavior of polynomial and exponential functions. They will understand that for polynomial functions, the end behavior is determined by the leading term, while for exponential...