Daily Archives: December 16, 2024

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Direct Comparison Test – Another Example 1. In this video I show that another series converges or diverges using the direct comparison theorem. I do not run over the […]

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Venn Diagrams – An Introduction. In this video, I give an intro to Venn Diagrams by labeling a Venn Diagram with numerical values using a concrete example. In other […]

Homogeneous Second Order Linear Differential Equations – Examples & General SolutionsIn this video, I explore the concept of homogeneous second-order linear differential equations, which are essential in understanding advanced calculus and differential equations. We start by identifying what these equations look like and how to classify them. Then, I demonstrate […]

(http://www.youtube.com/watch?v=G4N8vJpf7hM)<br />This is the second video on Eigenvalues and EigenVectors.Finding Eigenvalues and Eigenvectors : 2 x 2 Matrix Example.In this video I outline the general procedure for finding eigenvalues and eigenvectors for an n x n matrix and work an example using a 2 x 2 matrix.

This video explains how to shift graphs in calculus, covering horizontal and vertical shifts as well as reflections and stretches. Learn how changes in a function’s equation translate to transformations in its graph, with step-by-step examples to help you master this fundamental concept. Perfect for students studying calculus and preparing […]

Understanding Sequences: Convergence, Divergence, and Examples Explained! In this video, we’ll dive into the fundamental concept of sequences in mathematics. We’ll discuss what a sequence is, what it means for a sequence to converge or diverge, and walk through several examples to solidify your understanding. To determine whether a sequence […]

Newton’s Method – Finding Roots with ApproximationIn this video, I discuss the fundamental concept of Newton’s Method, a technique to approximate the roots of a function. You’ll learn how to apply this iterative approach to find x-intercepts effectively. I’ll go through an example step-by-step to show you how to utilize […]

(https://youtu.be/xjmy5hkZccY)(https://youtu.be/-K9Qt6YUIrI)(https://youtu.be/MDYb5DnRH2c)(https://youtu.be/iy8mhbZTY7g)(https://youtu.be/yYxzq_O18Mg)(https://youtu.be/w9fC8RaklhA)(https://youtu.be/Hg5RwzLAqRs) In this video, we dive deep into the concept of alternating series in mathematics. We’ll explore the basics of how an alternating series works, where the terms change sign from positive to negative and vice versa. This type of series can be represented in a general form with the […]

Learn how to check if a given set of vectors spans the vector space by analyzing their linear independence and coverage of the space.

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Derivative Using the Definition, Example 2. In this video, I find the derivative of a quadratic function using the definition of the derivative.