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- Просмотров 406 974
SaenzMath
США
Добавлен 25 ноя 2012
Making you understand Mathematics one lesson at a time.
Hello, I have been a mathematics teacher since 2013 and have taught from Algebra I to AP Calculus. In this channel you will find full lessons and examples for different ideas in Mathematics. My goal is to assist you reach your fullest potential in you Math classes.
Education:
- B.S Mathematics
- M.S Applied Mathematics and Statistics
#mfaproud
Contact info:
saenzmathematics@gmail.com
Hello, I have been a mathematics teacher since 2013 and have taught from Algebra I to AP Calculus. In this channel you will find full lessons and examples for different ideas in Mathematics. My goal is to assist you reach your fullest potential in you Math classes.
Education:
- B.S Mathematics
- M.S Applied Mathematics and Statistics
#mfaproud
Contact info:
saenzmathematics@gmail.com
Vertical Asymptotes - Examples ( 2 vertical Asymptotes and Holes in the Graph)
Vertical Asymptotes - Examples is a lesson that will show you 2 different cases when dealing with vertical Asymptotes. Vertical Asymptotes occur when looking at the Domain of a Rational Function. But do some vertical Asymptotes convert into a hole in a graph? After this two examples, you will be able to identify vertical asymptotes and convert vertical asymptotes into a hole in a graph.
👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_confirmation=1
⏰Timestamps⏰
0:00 Introduction
0:01 Vertical Asymptotes (Example 1)
0:10 Factoring to Identify Vertical Asymptotes
2:40 Vertical Asymptotes (Example 2)
3:45 Removable Discontinuity ( Hole in the Graph)
5:33 Graphing Rational Function ( V...
👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_confirmation=1
⏰Timestamps⏰
0:00 Introduction
0:01 Vertical Asymptotes (Example 1)
0:10 Factoring to Identify Vertical Asymptotes
2:40 Vertical Asymptotes (Example 2)
3:45 Removable Discontinuity ( Hole in the Graph)
5:33 Graphing Rational Function ( V...
Просмотров: 38
Видео
Vertical Asymptotes - Introduction ( Why does it make sense?)
Просмотров 3619 часов назад
Vertical Asymptotes - Introduction is a lesson that will help you understand Vertical Asymptotes better. When working with Rational functions, we can encounter Vertical Asymptotes. We have to keep in mind the Domain of the Rational Function. At the end of this lesson, you will be able to identify Vertical Asymptotes. 👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_confirmation=1 ⏰...
Binomial Expansion Theorem - 1 Difficult Example ( 2 ways of Doing it)
Просмотров 6414 дней назад
Binomial Expansion Theorem is a lesson that will teach you how to expand a binomial using the Binomial Expansion Theorem. We can use Pascals Triangle to Make the Expansion Faster. We can use the values and combinations to Expand a Binomial using the Binomial Expansion Theorem. In this lesson, you will learn both ways when doing the Binomial Expansion Theorem. 👏SUBSCRIBE to my channel here: www....
Binomial Expansion Theorem - Example ( Using Pascals Triangle)
Просмотров 5314 дней назад
Binomial Expansion - Example is a lesson that will teach you how to use the Binomial Expansion Theorem to expand any Binomial using Pascal's Triangle. This process is beneficial because instead of performing distribution when doing an Binomial Expansion, we can apply the Binomial Expansion Theorem and get the same result faster. 👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_conf...
Binomial Expansion Theorem - Explanation and Making Sense ( Using Pascal's Triangle)
Просмотров 140Месяц назад
Binomial Expansion Theorem is an idea that can be used to easily expand a binomial. We will look at how we can perform a binomial expansion using the values we have in Pascals Triangle. When we understand the pattern in a Binomial Expansion, we can expand any Binomial faster then performing distribution. Binomial expansion is something that will appear in multiple math classes. 👏SUBSCRIBE to my...
Pascal's Triangle and Combinations - The Mysterious Pattern Explained.
Просмотров 58Месяц назад
Pascal's Triangle and Combination is a lesson that will teach you how can you create Pascal's Triangle using Combinations. There is a pattern when looking at combinations in statistic. This same pattern will math the pattern we have in Pascal's Triangle. At the end of the lesson, you will be able to create Pascal's Triangle using combinations. 👏SUBSCRIBE to my channel here: www.youtube.com/@sae...
Pascal's Triangle - An Introdution ( How can We Create this Triangle?)
Просмотров 43Месяц назад
Pascal's Triangle is a lesson that will focus on the creation of Pascal's Triangle. You will learn to create Pascal's Triangle and how to identify the rows in the triangle. Pascal's Triangle has multiple applications in Mathematics. Before we use these application, we need to understand the structure of Pascal's Triangle. 👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_confirmatio...
Find A Polynomial With Real Coefficients That Has The Given Zeros (Difficult Example)
Просмотров 29Месяц назад
Find a polynomial with real coefficients that has the given zeros is a lesson that will teach you how to use the zeros (Solutions) of a polynomial to find a polynomial with real coefficients. This is a difficult example because we will use complex numbers to find a polynomial with real coefficients. 👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_confirmation=1 ⏰Timestamps⏰ 0:00 I...
Writing Polynomial Functions With Given Zeros And Coordinate Point - Precalculus
Просмотров 182 месяца назад
Writing polynomial functions with given zeros and coordinate point is a lesson that will teach you how to write a polynomial function when zeros and a coordinate point are given. A polynomial can be written in its linear form and then expand it. At the end of this lesson, you will be able to look at the solutions of a functions and write a polynomial function. 👏SUBSCRIBE to my channel here: www...
Writing A Polynomial As The Product Of Linear Factors - Difficult Example
Просмотров 322 месяца назад
writing a polynomial as the product of linear factors is a lesson that will teach you how you can use solutions of polynomials to write a polynomial as the product of linear factors. Writing a polynomial as the product of linear factors is an important skill because it can help you break down the polynomial into its solutions. 👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_confir...
Polynomial As A Product Of Linear Factors ( With Complex Numbers)
Просмотров 442 месяца назад
Polynomial as a product of linear factors is a lesson that will teach you how to use the solution of a polynomial to write the polynomial as a product of linear factors. Linear factors are determine by the solutions of a polynomial, we can use the fundamental theorem of algebra to write any polynomial as a product of linear factors. 👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_...
Writing A Polynomial As Product Of Linear Factors ( Complex Solutions Involved)
Просмотров 352 месяца назад
Writing a polynomial as product of linear factors is a lesson that will show you to to look at a polynomial and write it as a product of linear factors. To write any polynomial as a product of linear factors, you need to find all solutions of the polynomial. We will discuss strategies to find solutions and use those solutions to write a polynomial as a product of linear factors. 👏SUBSCRIBE to m...
Linear Factorization - How Can We Write Equations Given Zeros? ( Complex Solutions)
Просмотров 142 месяца назад
Linear factorization - How can we write equations given zeros? is a lesson that will show you how you can use linear factorization to write equations of any polynomial. When working with complex numbers, we have to consider complex conjugates when using linear factorization. At the end of lesson, you should be able to use linear factorization to write equations given zeros of any function. 👏SUB...
Fundamental theorem of Algebra and Linear Factorization ( How are they related to each other? )
Просмотров 192 месяца назад
Fundamental theorem of Algebra and Linear Factorization is a lesson that will start by explaining and giving examples of the Fundamental Theorem of Algebra. After we define and fundamental theorem of Algebra, we will explain what is the idea of Linear Factorization. At the end, we will connect the ideas of the Fundamental theorem of Algebra and Linear Factorization. 👏SUBSCRIBE to my channel her...
Adding and Subtracting Complex numbers ( Examples and shortcuts)
Просмотров 233 месяца назад
Adding and Subtracting Complex numbers is a lesson that will teach you the process of adding and subtracting complex numbers. Complex numbers are made out of real and imaginary parts. When have to consider these parts when adding and subtracting complex numbers. 👏SUBSCRIBE to my channel here: www.youtube.com/@saenzmath?sub_confirmation=1 ⏰Timestamps⏰ 0:00 Introduction 0:07 Adding and Subtractin...
Multiplying complex numbers ( Examples, Rules and Tips)
Просмотров 213 месяца назад
Multiplying complex numbers ( Examples, Rules and Tips)
Imaginary numbers - Rule of exponents ( Is there a pattern? )
Просмотров 963 месяца назад
Imaginary numbers - Rule of exponents ( Is there a pattern? )
Complex Numbers - An Introduction ( What are they? Why do we need them?)
Просмотров 923 месяца назад
Complex Numbers - An Introduction ( What are they? Why do we need them?)
Writing quadratic equations using sum and product of solutions ( Examples and Explanations)
Просмотров 363 месяца назад
Writing quadratic equations using sum and product of solutions ( Examples and Explanations)
Product of Solutions of Quadratic Equations ( Explanation and Example)
Просмотров 1343 месяца назад
Product of Solutions of Quadratic Equations ( Explanation and Example)
Sum of Solutions of Quadratic Equations ( Explanation and Example)
Просмотров 603 месяца назад
Sum of Solutions of Quadratic Equations ( Explanation and Example)
Constructing an Equilateral Triangle ( Less than 1 minute Construction - Geometry)
Просмотров 3193 месяца назад
Constructing an Equilateral Triangle ( Less than 1 minute Construction - Geometry)
Remainder Theorem - Divisor Has Leading Coefficient Not Equal to 1 ( Special Case)
Просмотров 373 месяца назад
Remainder Theorem - Divisor Has Leading Coefficient Not Equal to 1 ( Special Case)
The Remainder Theorem - Examples and Explanations ( Finding Factors the Easy Way)
Просмотров 504 месяца назад
The Remainder Theorem - Examples and Explanations ( Finding Factors the Easy Way)
Synthetic Division - Special Case ( Leading Coefficient Not 1)
Просмотров 524 месяца назад
Synthetic Division - Special Case ( Leading Coefficient Not 1)
Synthetic Division - Explanation and Examples ( Learn It The Easy And Fast Way)
Просмотров 524 месяца назад
Synthetic Division - Explanation and Examples ( Learn It The Easy And Fast Way)
Solving Logarithmic Equations - Multiple Examples and Different Difficulty.
Просмотров 535 месяцев назад
Solving Logarithmic Equations - Multiple Examples and Different Difficulty.
Solving Exponential Equations - Using Properties of Logarithms ( Easy and Fast)
Просмотров 205 месяцев назад
Solving Exponential Equations - Using Properties of Logarithms ( Easy and Fast)
Solving Exponential Equations - Same Base Technique ( Learn it quick and Easy)
Просмотров 365 месяцев назад
Solving Exponential Equations - Same Base Technique ( Learn it quick and Easy)
Writing As A Single Log ( Condensing Logarithmic Expressions)
Просмотров 855 месяцев назад
Writing As A Single Log ( Condensing Logarithmic Expressions)
What software did you use in changing the side length and triangles are changing as well?
I used a website called "geogebra", you can find the links at the bottom of the video description.
Tysm man helped alot tmrw having a term 1 exam 🩷
@@JwanOmer-w3e I am glad this helped you understand rotational symmetry. Wish you the best in your exam
I’m watching this the day b4 my exam and u really helped me out thank u soo muchhh😭🫶🏼
IM glad this was helpful to you. I wish you the best in your exam tomorrow. You will do great
Helped me thanks!!
@@RelatableContentForYouu not a problem, I am glad this helped you understand the tangent ratio a little better. Wish you the best in your math journey
Ty<3
@@mazyllendya no problem. I am glad this was helpful to you. Wish you the best in your math journey
Excellent presentation.
@@palootto4021 I am glad this helped you understand dilation better. Wish you the best in your math classes
BEST EXPLANATION!!!! THANKS!!!!
@@nicholaskrut3008 I am glad this was helpful to you. Wish you the best in your math classes.
This! Finally understood how the formula works
@@Be1kna I am glad his helped you understand the idea of surface are of a cone. I wish you the best in your math classes
THANK YOU SO MUCH!
@@kevialt193 not a problem, I am glad this was helpful.
Ram ram sare jano🙏
@@sunita-no9mo I hope this video was helpful
I could not for the life of me visualize how to find the lateral surface area of a cone for my calculus homework. This visual explanation was very simple and it made sense 👍
@@sukrithkishor7021 I am glad this was helpful to you. Also, here is the link to the animation I used in the video www.geogebra.org/m/zNumXZ4f
Thank you again 3:19
Not a problem, I am glad I was able to help
THANK YOU AGAIN. IVE SUBSCRIBED NOW🎉
@Saka7-n2t I am glad I helped you understand math a little better. Wish you the best in your math journey
THANK YOU AGAIN BRO. IVE SUBSCRIBED NOW🎉
I am glad my videos are useful
Nicely explained. One of your videos randomly showed up in my feed and after looking at your content I subscribed. Thanks.
Thank you for the kind words. I am glad you find my videos useful.I wish you the best in your quest for more math knowledge
Nice review. I would have considered showing how each row of Pascal's triangle can be easily computed from the previous row - so no need to memorize it. Possibly you stated this and I missed it. Thanks.
Thank you for the feedback. I broke this idea down into separate videos.I have a video where I discussed the pattern in pascal triangle, you can find it here ruclips.net/video/J0a15RghxnE/видео.html I am glad this video helped you understand Mathematics a little better. Wish you the best in your math class.
@@saenzmath Oh, I should have looked at some of your other videos - new subscriber. Thanks, trying to dust off my old forgotten maths.
@@quaternion-pi not a problem.I will also be uploading some videos where I use the binomial expansion thm. I recently created multiple videos in geometry.If you want to review your geometry. Now, I am working on videos for pre calculus. I hope that my videos can help you review your math skills.
Okay eat, 100 = 10x + 20 x = 10 (not 8)
@@briishman8866 that is true, it is a typo. Thank you for bringing this to my attention
Is this in gcse papers
@Saka7-n2t sometimes volume appears
Thanks helped me
@Saka7-n2t not a problem. I am glad this was helpful to you
Thx
@@gxngn3m not a problem. I am glad this helpful to you. Wish you the best in your math class
You sound like Project Nightfall
For question c, it should be angle 3 is equivalent to 60 degrees, not angle 1. Just wanted to point that out
You are right, thank you pointing that out. A little typo in the process.
Tysmm
@@MadhuriSingh-n9n not a problem, I am glad this was helpful to you. Wish you the best in your geometry class.
For the second proof how did you know <B was equivalent to <C? I am asking because I am confused about step 7 where it states <R = <S but for that to be transitive you need to know that angle B is equal to angle C.
Remembering that BY is parallel CZ.Then angle B is corresponding to angle C.Then they are congruent
Bro I have a exam tmrw and am learning the concepts now 😭 but it really helped me Tysmm🎀
@@Seharkhalid-y1i I am glad this was helpful. I wish you the best in your math exam.
ありがとう私の先生はもっと複雑に見せていたよ ww
@@重音類 問題ありません。お役に立てて嬉しいです。数学の授業がうまくいくことを祈っています。
Wow... underrated it made me realise a lot! Thank you so much
@@hodayfa000h I am glad this was helpful.Hopefilly this will help you remember the equation of a circle. I wish you the best in your math class.
My teacher spent 20 minutes on this and you gave a better explanation in 3. Thanks for the good video!
@@mythillian , I am glad this was of help to you.Constructions sometimes take some time to understand, I am glad you understand it now. Wish you the best in your math class.
thank you for video, it was very helpful for my understanding
@@vladimir-poutine1952 I am glad this was helpful to you. Wish you the best in your math studies
what are you using so u can use a protractor on your pc
@@ERLCedits-v6z I am using a program called "active inspire"
can you do a recycle symbol?
@@AnaCano-oj9ge to represent a rotation of 360 degrees?
I have a question, so in the triangle chart right, we found that angle D of ACD is 30 degrees since it has double marks, but after finding that BCD is 105 degrees, we do not subtract it from 30 right, because the 30 is separated from the other triangle?
very nice
@@gangadharbhardwaj I am glad this was helpful. Wish you the best in your geometry class
This is exactly what i needed, thanks a lot.
@@subasbudhathoki9453 not a problem.I am glad I was able to help you understand the area of a cylinder better. Wish you the best in your math class.
Thank you Mr. Saenz You're excellent 👌🏻
I am glad this was helpful to you.
I don’t think your explanation of Incenter is correct. The incenter is only equidistant from the sides of the triangle when you draw a new line segment from the incenter to the side at a right angle, thereby inscribing a circle in the triangle. Only those three “new” segments drawn from the incenter to the sides at a right angle are equal.
I’m not sure how to describe what I’m saying - but did my best to
If we are inscribing a circle inside a triangle, the radius of the circle is the distance from the in center to the sides of a triangle.Regardless what type of triangle that is. The radius is a fix distance, therefore the distance from the in center to the side of the triangle is fix as well. I hope this clarified your question. Wish you the best in your math class.
Incentre is the point of intersection of all angle bisectors of a triangle . They are equidistant from the sides of the triangle Circumcentre is the point of intersection of perpendicular bisectros of all sides . They are equidistant from the vertices of the triangle. Centroid is the point if intersection of the medians of all sides thats the vertex to the midpoint of the opposite side . A centroid devides a median in the ratio of 2:1.
@@poonampal693 that is true.We can also use these points to inscribe a circle inside a triangle or a triangle inside a circle.These points of intersection are the center of those circles described above. Thank you for the summary, I wish you the best in your geometry class.
Is it acceptable to put something like “isolating variable” or something similar for step 4 on example 1?
@@tootbrush9006 as a statement or reason?
11:12 since <1 and <2 are congruent you can use alternate angle converse theorem to prove that M || N. No need to go through that <3 to prove it through same side interior angle converse theorem. This is still true just wanted to let other people know that sometimes its easier to look through what's given to you rather than trying to find a harder way to solve for M || N.
Thank you for pointing this out net_part.I would have to disagree with your comment.The purpose of this proof is to show why the "alternative exterior converse theorem" shows parallel lines.We cannot use the theorem we are trying to prove to say that itself is true. This is why angle 3 is needed to use corresponding angle converse theorem, since we have atablis that theorem to be true.Therefore, we can use it as a reason for the alternative exterior angle converse theorem .
@@saenzmathohhh sorry, i thought you were only trying to prove m || n not why alternate exterior angle converse theorem proves m || n. Im current just learning proving if angles are parallel or if two angles are congruent or supplementary. Maybe this comes up further in the unit. Thanks for the insight!
@@net_apart7987 what you said in your previous comment is totally true and can be used in any proof that wants to shows that two lines are parallel. This small section of the video just shows why alternative exterior angles converse works. But any of the converse theorems ( alternative exterior, alternative interior, corresponding) can be used to conclude that you have two parallel lines. You did great pointing out that shortcut.I am sure you are going to do well in your geometry class.
@@saenzmath quick question also, im seeing theorem and postulates being thrown a lot lately, for example theres vertical angles postulate and vertical angles theorem, whats the difference and what can be used in what way? Basically theorems vs postulates. Thanks for hoping for my success! Ive been studying a lot in order to get a good grade on an upcoming test i have on friday.
@@net_apart7987 you can think of a postulate as a weak version of a theorem. But they are both theorems.
👨🏻🏫
at 4:45, should step 10 not be considered transposition?
Thank you Mr. Saenz 🙋🏻♀️
@@edithvilla4659 I am glad this was helpful to you in class.
Very helpful video, thank you Mr. Saenz 😃
Not a problem, I am glad this video helped you out
Thank you for your video Mr. saenz 👨🏻🏫
@@edithvilla4659 not a problem, I hope this helped you in class
👏🏻👏🏻👏🏻👏🏻
Thank you, thank you
u forgot orthocenter
I have a separate video for that, take a look here :ruclips.net/video/61ywvsG3-fA/видео.htmlsi=f9ASkViOLC76txFW
I appreciate these examples, thank you!😄
@@tootbrush9006 not a problem.I am glad this is helpful.
why is there a line in the q
@@Ratofthesubway what section of the video are you referring to?
When ever you write the letter q in a equation there is a line through the stem
That is just my handwriting.That is how I write the letter"q" Sorry for the confusion
@@saenzmath thanks for clearing that up see you tomorrow
Didn't need this but I came to increase interactions with the videos so this video could get more views!
@@thisbroisboss6667 I hope that you were able to learn something new while you were watching
This was very helpful thank you.
@@RUclipswatcher12345 not a problem. Wish you the best in your geometry class.
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