calculus Tag Posts Index

Review of Vector Functions – True-False Quiz

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

Review of Vector Functions – True-False Quiz

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

MES Math Q/A 67: What is Faraday's Law?

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

Vector Equation of a Tangent Line on a Space Curve

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 Tangent Line on a Space Curve

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

Review of Vector Functions – Concept Check

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

Review of Vector Functions – Concept Check

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

Review of Vector Functions Chapter – Concept Check & True-False Quiz

In this video, I go over the concept check questions and true-false quiz as part of the review on the vector functions chapter from my calculus book. There are 9

Review of Vector Functions Chapter – Concept Check & True-False Quiz

In this video, I go over the concept check questions and true-false quiz as part of the review on the vector functions chapter from my calculus book. There are 9

Theorem 2: Series of Sums is equal to Sum of Series

In this video, I go over Theorem 2, which states that we can move a constant out of the sum of a series as well as add or subtract series individually. These follow

Theorem 2: Series of Sums is equal to Sum of Series

In this video, I go over Theorem 2, which states that we can move a constant out of the sum of a series as well as add or subtract series individually. These follow

Theorem 1 and the Test for the Divergence of Infinite Series

In this video, I go over Theorem 1, which states that the terms of a convergent series approach zero. Conversely, if the terms don't approach zero, the series diverges,

Theorem 1 and the Test for the Divergence of Infinite Series

In this video, I go over Theorem 1, which states that the terms of a convergent series approach zero. Conversely, if the terms don't approach zero, the series diverges,

Harmonic Series: Proving it diverges via an ingenious method

In this video, I show that the harmonic series, 1 + 1/2 + 1/3 + 1/4 + ..., diverges by showing its even power partial sums are greater than a similar but smaller

Telescoping Sum: All the terms of this series cancel out except for the first and last term

In this video, I go over an infinite series in which arises an example of the famous telescoping sum such that all the terms of the series cancel except for the

Telescoping Sum: All the terms of this series cancel out except for the first and last term.

In this video, I go over an infinite series in which arises an example of the famous telescoping sum such that all the terms of the series cancel except for the

Geometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1

In this video, I show that the infinite series xn = x0 + x1 + x2 + ... is just a geometric series, and converges if the absolute value of x is less than 1. By common

Geometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1

In this video, I show that the infinite series xn = x0 + x1 + x2 + ... is just a geometric series, and converges if the absolute value of x is less than 1. By common

Converting the number 2.3171717... into the fraction 1147/495 via the Geometric Series

In this video, I go over an example of converting the number 2.3171717... (with infinite repeating 17) into a fraction by writing the repeating 17s as an infinite

Converting the number 2.3171717... into the fraction 1147/495 via the Geometric Series

3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over an example of converting the number 2.3171717... (with