Tag Archives: patrickjmt

Video Playlists: Complex Numbers

I have mentioned in class that online videos are a good way to review material from class and to go through additional example, and I’ve previously posted a few videos on here from PatrickJMT (you can find all video posts at https://openlab.citytech.cuny.edu/mat1275en-ganguli-fall2017/category/video/).

This week we introduced imaginary and complex numbers. You can review that material via the following two video playlists:

The first one is via a website called “Math 1275 Student Video Resources” which was compiled by another CityTech math professor. It contains links to Khan Academy videos, organized according to the MAT1275 syllabus. Here is the page for Complex Numbers:

Complex Numbers

 

The 2nd one is a YouTube playlist of all 21 of PatrickJMT’s Complex Numbers videos:

 

Derivation of the Quadratic Formula

Here’s a snapshot of the derivation of the quadratic formula from the blackboard on Friday:

(Note that my “blackboard management” wasn’t ideal: the derivation starts in the middle board and the continues on LHS board. The RHS board has a numerical example, which follows the same steps as the general derivation.)

Also, here is PatrickJMT’s 7min video going thru the derivation:

 

You can also read the derivation on the Wikipedia page for the quadratic formula, or in Sec 7.2 of the textbook (p592).

PatrickJMT Videos: Factoring Differences of Squares

You may find online videos useful to review material from class and see additional examples. I particularly like the videos of a math teacher who goes by the name of “PatrickJMT.”  He has posted hundreds of short videos on his website patrickjmt.com, including many which cover topics we will cover in the course (all the videos are also available on YouTube–his YT channel is here.)

Here are three videos which present examples of factoring differences of squares:

Factoring the Difference of Two Squares – Ex 1

 

Factoring the Difference of Two Squares – Ex 2

 

Factoring the Difference of Two Squares – Ex 3