Catalyst University
Starling Forces & Calculating Net Filtration Rate
In this video, we will discuss the major Starling forces that favor or reduce filtration from capillaries. Then we will calculate net filtration pressure (NFP) and net filtration rate (NFR).
Brian McLogan
Understanding the discriminant as a part of 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...
Brian McLogan
Write the equation of a parallel line using point slope form
👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Brian McLogan
Given complex zeros write the polynomial
👉 Learn how to write the equation of a polynomial when given imaginary 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 x values that make a horizontal tangent implicitly
👉 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
Solving Inequalities with Negative Coefficients
In this video, the teacher explains the concept of solving inequalities containing negative coefficients. They discuss the importance of using the correct inequality sign and demonstrate an example where the sign needs to be switched to...
Curated Video
Finding Solutions through Intersection on a Graph
In this video, the teacher explains how to find the solutions to a system of equations by graphing them and looking for points of intersection. They demonstrate that a system of equations can have one, more than one, or no solutions,...
Brian McLogan
What is the definition of the inverse sine function
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Curated Video
Adding Positive and Negative Numbers Using a Number Line
Review examples to understand how to move on the number line to find the sum. This video also introduces the commutative property and shows how it applies to addition with positive and negative numbers.
Catalyst University
Thermodynamic Parameters for Mixing (ΔG, ΔS, ΔH, ΔV)
Here I explain the basics thermodynamic parameters for mixing two liquids into a mixture.
Brian McLogan
Determine the six trigonometric functions for a negative angle in radians
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Curated Video
Using Standard Form in Biology: Converting Large and Small Numbers for Easier Calculations
This video is a lecture presentation on the use of standard form in biology. The presenter explains how to express very large and very small numbers in standard form using decimal numbers and powers of 10. The presenter also gives...
Brian McLogan
Learn how to find increasing decreasing intervals and extrema of a 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
Determining Unknown Ordered Pairs
In this video, the teacher explains how to determine the location of an unknown ordered pair by using characteristics of polygons. They review the X and Y axes and the importance of understanding the rotation along each axis. The teacher...
Brian McLogan
How to Find All of the Zeros Including Complex When Given a Polynomial
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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 zeros...
Brian McLogan
How to find the left and right hand limit by not using a calculator
👉 Learn how to evaluate the limit of a function involving rational 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. The...
Brian McLogan
Shifting a triangle using a transformation vector
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
Brian McLogan
Learning to reflect a parallelogram over the y=x line
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
Solve a quadratic using the quadratic formula with complex answers
👉 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
Simple Truss Problem Q3 method of sections
For method of sections: 1) Draw a free body diagram of the entire structure. 2) Choose your section wisely (make sure the variables you want are part of section you've chosen). 3) Solve using static equilibrium equations (sum of forces =...
Curated Video
Completing the Square: Transforming Quadratic Equations
In this lesson, students will learn how to complete the square in quadratic equations using both models and symbols. They will understand the steps involved in transforming a quadratic equation and how to factor perfect squares.
Catalyst University
Multivariable Cyclic (Chain) Rule for P-CHEM
Multivariable Cyclic (Chain) Rule for P-CHEM
Brian McLogan
How to translate a triangle using a transformation vector
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...