In this video, I show that the sum of the series with terms (ln n) / n diverges to infinity by computing its corresponding improper integral via the Integral Test. First noting that the natural logarithm

Tutorial on showing that the series with terms natural log of n divided by n diverges to infinity via the Integral Test.

Livestream answering math and science questions, as well as examining Faraday's Flux Rule for electrical circuits.

In this video, I use the Integral Test to show that the p-series, whose terms are 1/n^p, is convergent if p is greater than 1 and divergent for all other values of p. When p is less than 0, the terms approach

Tutorial showing the values of p in which the p-series converges and diverges, which I show using the Integral Test.

In this video, I go over the Integral Test, which states that a series converges only if its corresponding improper integral also converges. Likewise, if the improper integral diverges, then the series

Tutorial on the Integral Test for determining if an infinite series converges or diverges, including an example.

In this video, I go over an introduction into estimating sums of series by examining whether their corresponding improper integrals converge or diverge, thus providing the basis for the Integral Test.

Tutorial going over an introduction into estimating the sums of series by examining their corresponding improper integrals.

In this video, I show that the sum of diameters of an infinite number of circles contacting between two big circles sums to the radius of the bigger circles, thus providing a geometric interpretation of

Tutorial showing the sum of diameters of an infinite sequence of circles contacting two bigger circles provides a geometric interpretation of the series with terms 1/(n(n+1)).

In this video, I show that the sum of differences between successive positive integer powers x^n for 0 ≤ x ≤ 1 can be written as an infinite series, and the resulting sum is equal to 1 or the unit square.

Tutorial on showing the geometric interpretation of a previously covered series as a sum of differences of curves x^n.

In this video, I go over the True-False Quiz at the end of the chapter on vector functions from my calculus book. There are 14 questions, and I cover vector equations of lines, parabolas, differentiation,

I go over the solutions of the true-false quiz at the end of my calculus book chapter on Vector Functions.

Faraday's law of induction states that a time-varying magnetic field is always accompanied by a circulating electric field, described via the curl (the cross-product operator built from the partial derivatives

In this video, I go through obtaining the vector equation of a tangent line to a space curve, by replacing the parallel vector with the tangent vector from the general vector equation of a line. This was

Tutorial on obtaining the tangent vector, unit tangent vector, and equation of the tangent line to a space curve.

In this video, I go over the concept check review from the end of the vector functions chapter in my calculus book. I cover vector functions, space curves, their derivatives & integrals, curvature,

Concept check review tutorial from the end of the vector functions chapter in my Stewart Calculus book.