calculus Tag Posts Index

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

Examples on Identifying Geometric Series and Determining if it Converges or Diverges

In this video, I go over two examples and two methods of identifying if a series is a geometric series, and then finding its sum if it converges. In the first example,

Examples on Identifying Geometric Series and Determining if it Converges or Diverges

3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over two examples and two methods of identifying if a series

Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)

In this video, I go over the geometric series, which is the sum a + a r + a r^2 + ..., and show that if the absolute value of the common ratio r is less than 1,

Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)

3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over the geometric series, which is the sum a + a r + a r^2

MES Math Q/A 64: What are Electromagnetic Potentials?

YouTube - Rumble - Odysee - BitChute - X - Twitch - Math Q/A playlist Electromagnetic potentials are mathematical fields introduced via vector calculus identities

Geosynchronous Satellite + Arthur C. Clarke's connections with 9/11, Ball Lightning, & Cold Fusion

3Speak - YouTube - Telegram - Notes - Playlist - Vector Functions - MES Links In this video, I use the equation for Kepler's third law to calculate the required

Length of Earth's Orbit around the Sun is 299 million km wide

In this video, I use Kepler's third law to calculate the length of Earth's elliptical orbit to be around 299,000,000 km wide and takes about 365.25 days to complete

Length of Earth's Orbit around the Sun is 299 million km wide

3Speak - YouTube - Telegram - Summary - Notes - Sections playlist - Vector Functions playlist - MES Links In this video, I use Kepler's third law to calculate the

Kepler's Third Law: Square of Planet's Orbital Period is Proportional to the Cube of its Major Axis

In this video, I derive Kepler's 3rd Law of planetary motion and obtain a formula for a planet's period of orbit around the Sun in terms of the length of its major