Brian McLogan
Learning how to identify reflections of multiple functions
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Evaluate a limit at infinity with a radical in denominator
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Zach Star
Computer Science Vs Computer Engineering - How to Pick the Right Major
In this video I discuss computer science vs computer engineering. Computer science and computer engineering have many similarities but also some big differences. Computer science majors learn more about software while computer engineers...
Brian McLogan
How to evaluate the limit of a constant function
👉 Learn how to evaluate the limit of a function involving polynomials. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a...
Brian McLogan
Chain rule with radicals, how to take the derivative
👉 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 variable x. The process of finding the derivative...
Looking Glass Universe
Things we know about spin in quantum mechanics
I discuss a few experimental facts about some weird thing called Spin, especially the Stern Gerlach experiment.
Brian McLogan
Evaluating using special trig limits
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
How to use the chain rule with trigonometric functions
👉 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 variable x. The process of finding the derivative...
Brian McLogan
Learn How to Determine the Unit Vector and It's Direction Given the Vector W
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
How to apply u substitution to radicals
👉 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 an indefinite integral or as a definite...
Flipping Physics
Using Integrals to Derive Rotational Inertia of a Long, Thin Rod with Demonstration
We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator.
Brian McLogan
How to write the domain of a rational function
👉 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...
Brian McLogan
Learn how to take the fourth derivative of a polynomial
👉 Learn how to find the higher derivative 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 function...
Zach Star
What is Biochemistry?
Biochemistry is the combination of majoring in biology and chemistry. As a biochemistry major you will take more classes related to chemistry until your 3rd and 4th year where you can choose electives in biology or chemistry. Biochemists...
Brian McLogan
How to write the domain of a rational function with a radical in denominator
👉 Learn how to find the domain of rational functions with a radical denominator. 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...
Virtually Passed
Conservation of Mechanical Energy Proof (1DoF)
Here is a quick proof of the conservation of mechanical energy in a 1 dimensional system. Conservation of mechanical energy only exists if their are strictly conservative forces acting on the particle. If there are non conservative...
Flipping Physics
AP Physics C: Work, Energy, and Power Review (Mechanics)
Calculus based review of work done by constant and non-constant forces, Hooke’s Law, Work and Energy equations in isolated and non-isolated systems, kinetic energy, gravitational potential energy, elastic potential energy, conservative...
Brian McLogan
Given a vector find the unit vector u and check your answer
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
How to find the value that makes a piecewise function continuous
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
Evaluate the limit of a piecewise function by graphing
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Learn how to take the derivative using implicit differentiation by taking the ln of both
👉 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...
Catalyst University
Series | The Integral Test: Theory and 1 Full Example
Series | The Integral Test: Theory and 1 Full Example