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...
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...
Catalyst University
Series | Limit Comparison Test: Example 2
Series | Limit Comparison Test: Example 2
Brian McLogan
Learn how to determine concavity of a polynomial function
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Curated Video
Determining the Equation of a Polynomial Graph
In this video, the teacher explains how to determine the equation of a polynomial graph by analyzing its end behavior and zeros. They provide examples and step-by-step instructions, highlighting the importance of understanding...
Brian McLogan
Use baby numbers to evaluate the right hand limit of a rational function
👉 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
How to find the vertex and axis of symmetry then graph using a table of values
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Math Fortress
Differential Equations: Families of Solutions (Level 4 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over an example illustrating how to verify a particular solution of the one-parameter family of solutions,...
Brian McLogan
Characteristics of functions
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Determine the left and right hand limits using infinity of a function
👉 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...
Catalyst University
Power Series: Computing Integrals via Power Series: Example 1
Power Series: Computing Integrals via Power Series: Example 1
Brian McLogan
Learn how to write the domain of a rational function using interval notation
👉 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...
Catalyst University
Power Series | Power Series & Interval of Convergence: Example 3
Power Series | Power Series & Interval of Convergence: Example 3
Professor Dave Explains
Particle in a Box Part 1: Solving the Schrödinger Equation
Now that we understand the Schrödinger equation, it's time to put it to good use, and solve a quantum problem. Let's find the eigenfunctions and eigenenergies associated with a quantum particle restricted to an infinite square well. This...
Catalyst University
Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 1 & 2
Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 1 & 2
Brian McLogan
Domain of a rational function by factoring
👉 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
How to find the domain of a rational equation
👉 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
Overview of implied domain of functions
👉 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
Finding the implied domain of a function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Limits at infinity
👉 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...
Brian McLogan
Learn how to evaluate the left, right and general limit from a piecewise function
👉 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...
Curated Video
Compare different types of data structures : Binary Indexed Trees for the RMQ Problem
From the section: Tree-Based Data Structures. In this section, we will go over a few robust tree-based data structures, that are indispensable for efficiently solving various query-related problems. This video presents an extension of...
Brian McLogan
Characteristics of functions
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Determine the left and right hand limits at infinity of a function
👉 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...