Chapter 2: Polynomial Equations and Inequalities

The Remainder Thereom

Well, after ending chapter 1, we moved on with Chapter 2. So, what is chapter two? Chapter 2 is no other than Polynomial Equations and Inequalities. We started the chapter with the Remainder Thereom. When I first saw what was written on the board, I didn't understand a single thing and was just absolutely confused. However, after the explanation, I actually found it to be quite simple. The saying is true, "never judge a book by its cover". This concept can be applied in real life as well. For example, if we were to find the height or distance or such when we were given the polynomial expression, we are able to find it using this concept. So, it does play a part in our life. This is it for summary of this subtopic. 

Pure mathematics is, in its way, the poetry of logical ideas.

- Albert Einstein 

Notes On Chapter 1

Here is a link that will lead you to some notes that I found for chapter 1, polynomial functions. They are simple and highlight the important points that you need to know. Happy reading!

Chapter 1: Polynomial Functions

Let's Talk Math! Project

Well, we had our very first presentation for the Advanced Functions course. It was for the project, Let's Talk Math!. My group consisted of Sum Yee, Mikee, Lee Fong and myself. We were the first group to start off this project so we presented on the first chapter, Polynomial Functions. After forming the group, we divided the different jobs to everyone. We had our own responsibilities and carried them out.

On the day of the presentation, we were definitely nervous. We were the first group so it was even worse. But, when we started on our presentation, we grew more comfortable. Everyone was listening to our presentation. With that, we were grateful and appreciated everyone's attention. An unfortunate problem that we encountered during the presentation was the slides' appearance on the screen. Due to projector's color saturation, the slides appeared to be a little greenish which made some of the elements of the presentation a little blur. Besides, the video presented during the presentation was a little soft and it did prove to be a little of a trouble to listen to. Other than that, we had no other technical problems. 

Presentation on Polynomial Functions

PowerPoint Presentation 

The link attached is a PowerPoint presentation about chapter 1. My group for the project, Let's Talk Math! made it and hope it will be useful for everyone. 

Advanced Functions PowerPoint Presentation

Video Collection for Polynomial Functions

Here are some videos that I have found regarding the first chapter, Polynomial Functions. Take a look. 

Chapter 1: Polynomial Functions

Prerequisite Skills, 1.1-1.6

Well, to begin the Advanced Functions course, there is no doubt that we started with Chapter 1. Now, what is Chapter 1? Chapter 1 is actually Polynomial Functions. It concerns the properties as well as the key features of graphs of polynomial functions and their transformations too. Not only that, the chapter also covers about the concept of average and instantaneous rate of change. 

Before we started any further with the chapter, we had to go through the prerequisite skills. Basically we need to sharpen some of our math skills so we that can understand the chapter a whole lot easier and better as well. The prerequisite skills cover mostly concepts that we would have already learned during out high school years. 

Then, we continued with the subtopics of 1.1 until 1.6. The subtopic 1.1 is about power functions and is easy if the concepts are understood well. Subtopic 1.2 would then touch on the characteristics of polynomial functions. The concepts in this subtopic are definitely very new to me so it did take some time for me to fully understand it. However, once I understood it, it became clear to me. Next, we did subtopic 1.3, equations and graphs of polynomial functions. This subtopic was a little tough for me especially for the part of analyzing equations to sketch graphs. I had a little trouble with that but after some practice, I started to understand it more. But, I still need more practice for that part.