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Welcome to SergioS's Math Analysis Blog

Welcome to SergioS's Math Analysis Blog

Saturday, November 16, 2013

SP#4: Unit J Concept - Partial Fraction Decomposition



          Hey guys, Sergio here. Something that the viewer should keep in mind when doing this, is that you must be careful when distributing the variables "A, B, and C". If you are not careful when distributing, then your answer will be compromised, and you will have difficulties. You would probably have to go over your work for minutes upon minutes to find where you made a mistake.

Monday, November 11, 2013

SV# 5 Unit J Concept 3 - Matrices



          Hi guys, Sergio here. Something that the viewer definitely has to be careful with, are the signs in the matrices. If a mistake is made when putting in the signs (such as accidentally putting down a -7 instead of a +7, or putting a +1 instead of -1, then you will have some trouble. Small mistakes like these can easily lead you to an incorrect answer, which will in turn just make it much harder to find what you did wrong.

Saturday, October 26, 2013

SV#4 Unit I Concept 2 - Graphing Logarithmic Functions



          Hi guys, Sergio here. Something the viewers should remember when doing this problem, is that the asymptote is x=h. Not only that, but when you give the asymptote, you have to switch the sign of your h. This is important, because if you give the wrong asymptote, then you might not have a y-intercept in a problem where you should, and etc. Always remember that range has no restrictions, and the 

Thursday, October 24, 2013

SP#3 Unit I Concept 1 - Graphing Exponential Functions


          Hi I'm Sergio, and this is SP#3 Unit I Concept 1. Okay, first of all, I'd like to point out that one of the most important things to remember about this problem is that the asymptote is always y=k. also, I think it might be good to remember that the third x-key point graphed is x=h. We must remember, however, that "h" is always the opposite of the way it is in the equation. By this, I mean that if "h" is, for example +1 in the equation, then you plot -1. Yeah we must also keep in mind that the domain has no restrictions, and the range is written out with x being the lowest value (- infinity), and y being the highest value possible. In this problem, that value is -4, because it is our asymptote, and we absolutely CANNOT go over it. EVER. Well, thanks for your time, everyone!

Thursday, October 17, 2013

SV#3 Unit H Concept 8 - Finding logs when given aproximations


          Something that the viewer should be aware of, is that I messed up with my verbal explanation with the end result. We must always remember that if the logs are divided, then in our answer, they must be subtracted. Also, remember to switch in the letters for the logs and remember that we must include the "hidden hint" in the problem.

Sunday, October 6, 2013

SV#2 Unit G Concepts 1-7 - Finding all parts and graphing a rational function



Hi this is Sergio from Period 4. This video covers concepts 1-7 from our SSS Unit G packets. First of all, I want to point out that in my video, I forgot to mention the Vertical Asymptote's limit notation. The limit notation is as follows. As x--> 1 from the right side, f(x)--> negative infinity, AND as x-->1 from the left side, f(x)--> positive infinity.
I also want to point out that the video is, ONCE AGAIN, in 240p (I know, it's terrible) because it was taking way too long to upload in sparkling 1080p. Other than that, and the shakiness of the video, I think everything else is okay. THANKS FOR WATCHING GUYS!!!