Brian McLogan
How do you find the formula for the nth term of an arithmetic sequence
👉 Learn how to find the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which...
Brian McLogan
How to implicitly find the derivative of an equation
👉 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...
Brian McLogan
Find the local extrema using the first derivative test
👉 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
High Performance Scientific Computing with C 2.2: Algorithm Complexity and Performance
How does the design of our programs affect their speed and accuracy? • Learn about floating-point round-off error • Learn about computational complexity • Examine the divide-and-conquer design approach
Brian McLogan
Learn how to visualize the difference of two vectors
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...
Brian McLogan
Eliminate the parameter to obtain a horizontal parabola
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 and...
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
Learn to find the tangent line through the point of the function
👉 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...
Brian McLogan
Take the natural log of both sides to implicitly derive the equation
👉 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...
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...
Virtually Passed
Second Moment of Area Example 1
To find the second moment of area about the x axis use Ix = /int y^2 dA To find the second moment of area about the y axis use Iy = /int x^2 dA In this video I solve this problem using the double integral method (which is more robust)....
Curated Video
Understanding Arithmetic Sequences and Linear Functions
In this lesson, students will learn how to determine the explicit rule for an arithmetic sequence and how it represents a linear function. They will create a table of values and graph ordered pairs on a coordinate plane to visualize the...
Curated Video
Deep Learning with Python (Video 15)
Deep learning is currently one of the best providers of solutions regarding problems in image recognition, speech recognition, object recognition, and natural language with its increasing number of libraries that are available in Python....
Curated Video
Solving Equations Involving Squares and Square Roots
In this lesson, students learn how to solve equations involving squares and square roots by using properties they already know. They discover that when solving one-step equations where the variable is squared, there will be two solutions...
Virtually Passed
Force excitation equation of motion proof
Here I derive part of the equation of motion for a spring mass damper system experiencing a sinusoidaly varying force. This is only the particular solution - Ie, the steady state solution. The total solution is x(t) = x_p + x_h where x_h...
Curated Video
Exploring Function Notation
Explore the concept of renaming a function using function notation. They demonstrate how to determine if a graph is a function using the vertical line test and solve equations for Y to determine if Y is a function of X.
Brian McLogan
How to solve a separable differential equation
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...
Catalyst University
Calculate Concentrations in a Buffer (Derivation)
In this video, we discuss Calculate Concentrations in a Buffer (Derivation)
Brian McLogan
Apply the evt and find extrema on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Brian McLogan
How to write the equation of a tangent line by taking the derivative using product
👉 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...
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
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...