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Cole's World of Mathematics
США
Добавлен 27 авг 2015
This channel is my growing collection of College-Level and High School-Level Math Tutorial Videos intended for anyone interested in learning more about mathematics. Topics focus on Calculus, Pre-Calculus, College Algebra, Trigonometry, Probability Theory, Introductory Algebra Topics, Geometry, and Various Topics from Algebra 1 and 2 as well as TI-84 Graphing Calculator Tutorials.
I have an MA in Mathematics Teaching with over 37 years of teaching experience at various levels.
My purpose for the channel is that students will use my videos to help supplement what is being taught in the classroom. My videos are NOT intended to be the only resource students use to learn mathematics.
So please, “Like” my videos, "Subscribe" to my channel, and "Share" my channel with your friends!
I have an MA in Mathematics Teaching with over 37 years of teaching experience at various levels.
My purpose for the channel is that students will use my videos to help supplement what is being taught in the classroom. My videos are NOT intended to be the only resource students use to learn mathematics.
So please, “Like” my videos, "Subscribe" to my channel, and "Share" my channel with your friends!
Unleashing The Power Of Logarithmic Differentiation In Calculus: Solving x^e^x
This video goes through the logarithmic differentiation for y = x^e^x. This is a typical differentiation problem found in Calculus 1.
#calculus #calculushelp #logarithmicdifferentiation
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Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for the struggling college adult (age 18 and older).
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Don’t forget guys, if you like this video please “Like” and “Share” it with your friends to show your suppor...
#calculus #calculushelp #logarithmicdifferentiation
*******************************************
Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for the struggling college adult (age 18 and older).
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Don’t forget guys, if you like this video please “Like” and “Share” it with your friends to show your suppor...
Просмотров: 137
Видео
Compilation of Definite and Indefinite Integrals
Просмотров 335Месяц назад
This video goes through 5 U-Substitution Integrals, including Definite and Indefinite Integrals. These types of integrals would commonly be found in a Calculus 1 class. #calculus #integral #calculushelp Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductor...
Solving Equations with the TI-84
Просмотров 243Месяц назад
This video goes through 2 examples of solving equations on the TI-84 graphing calculator. It uses the Zero Function and the Intersection Method. #solvingequations #ti84 #graphingcalculator Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college alge...
Introduction to Law of Sines
Просмотров 2352 месяца назад
This video introduces the Law of Sines and then goes through one example. #lawofsines #precalculus #mathhelp Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for the struggling col...
Find the Slope of the Tangent Line y = lnx^2 at x = e^2
Просмотров 2522 месяца назад
This video goes through 1 example of how to find the Slope of the Tangent Line y = lnx^2 at x = e^2. This is a beginning Calculus 1 skill. #calculus #derivatives #tangentline Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, an...
Finding Range when Given the Domain Algebra
Просмотров 1032 месяца назад
This video explains how to find the Range when given the Domain. This is a typical Algebra 1 skill. #algebra #domainrange #mathematics Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 an...
![Integral of 3xe^x^2 [Calculus] - U-substitution](http://i.ytimg.com/vi/KyApf-L8R90/mqdefault.jpg)
Integral of 3xe^x^2 [Calculus] - U-substitution
Просмотров 3302 месяца назад
This video goes through the integral of 3xe^x^2. This is a typical U-substitution problem which is commonly found in a Calculus 1 class. #calculus #calculushelp #integrals Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and r...
Arithmetic & Geometric Sequences & Series - Find the Sum - Find the nth Term Formula
Просмотров 882 месяца назад
This video goes through 2 examples of finding the sum and finding the nth term formula. #sequence #arithmeticsequence #geometricsequence Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 ...
AP Calculus AB MC Question
Просмотров 692 месяца назад
This video goes through 1 example of a previous AP Calculus AB MC Question. #apcalculusab #apcalculus #apcalcprep Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for the strugglin...
Function Notation and Radicals
Просмотров 623 месяца назад
This video goes through 2 examples of evaluating functions when the function is a radical. #functions #algebra2 #mathematics Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for th...
Review of Exponential & Log Equations
Просмотров 1423 месяца назад
This video looks at the graphs of y = e^x and y = ln x. Then it goes through 2 examples of solving exponential equations and 1 example of solving a log equation. #exponentialequation #logarithmicequations #precalculus Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutoria...
Finding Points of Inflection in Calculus
Просмотров 1643 месяца назад
This video goes through 1 example of finding the Points of Inflections in a beginning Calculus class. #calculus #pointsofinflection #calculushelp Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from a...
Introduction to Functions in Algebra 1
Просмотров 913 месяца назад
This video introduces functions in Algebra 1. Topics include Relation, Domain, Range, Mappings, Function Notation, Function Names, and Evaluating Functions. #algebra #functions #domainrange Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college alg...
Graphing Trig Equations & Inequalities in DESMOS
Просмотров 1483 месяца назад
This video goes through 1 Trig Equation/Inequality using DESMOS and showing. how you can solve these types of equations & inequalities using DESMOS. #trigonometry #trigonometric #solvinginequalities Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory co...
Logarithmic Differentiation x^cot x [Calculus]
Просмотров 2413 месяца назад
This video goes through 1 example of Logarithmic Differentiation. #logarithmicdifferentiation #calculus #calculushelp Math Tutorials on this channel are targeted at college-level mathematics courses including calculus, pre-calculus, college algebra, trigonometry, probability theory, TI-84 tutorials, introductory college algebra topics, and remedial math topics from algebra 1 and 2 for the strug...
Short Introduction to Radical Expressions Graphs & Perfect Square Roots
Просмотров 833 месяца назад
Short Introduction to Radical Expressions Graphs & Perfect Square Roots
Two U-Substitution Integrals [Calculus 1]
Просмотров 1903 месяца назад
Two U-Substitution Integrals [Calculus 1]
Limit (5x + sin(3x))/(tan(4x) - 7xcos(2x)) [Calculus]
Просмотров 1673 месяца назад
Limit (5x sin(3x))/(tan(4x) - 7xcos(2x)) [Calculus]
Taking the Limit of the Difference Quotient in Calculus
Просмотров 913 месяца назад
Taking the Limit of the Difference Quotient in Calculus
Rewriting an Equation into Slope-Intercept Form & Graphing It [Algebra 1]
Просмотров 953 месяца назад
Rewriting an Equation into Slope-Intercept Form & Graphing It [Algebra 1]
Left, Right, and Midpoint Riemann Sums in Calculus
Просмотров 843 месяца назад
Left, Right, and Midpoint Riemann Sums in Calculus
Definite Integral x(x^2 + 1)^3 from 0 to 1 with a Focus on the Limits of Integration for "x"
Просмотров 1604 месяца назад
Definite Integral x(x^2 1)^3 from 0 to 1 with a Focus on the Limits of Integration for "x"
Solving a System of Linear Equations by Graphing (No Solution and IMS)
Просмотров 814 месяца назад
Solving a System of Linear Equations by Graphing (No Solution and IMS)
Solving & Graphing Compound Inequalities in Algebra 1
Просмотров 614 месяца назад
Solving & Graphing Compound Inequalities in Algebra 1
Finding the Equation of the Tangent Line using the Limit Process in Calculus 1
Просмотров 1834 месяца назад
Finding the Equation of the Tangent Line using the Limit Process in Calculus 1
Finding the Area of a Given Region in Calculus 1
Просмотров 1984 месяца назад
Finding the Area of a Given Region in Calculus 1
Equations with No Solutions [Algebra 1]
Просмотров 874 месяца назад
Equations with No Solutions [Algebra 1]
Thank you.
You're welcome!
Please can you explain more on the integral sin5xcos2xdx
Its the same problem I had on my Calculus 1 quiz and I did not know x/sin x = 1, because I thought only sin x/x=1.
thanks
Yes, this video was the most helpful at discovering the power of the Alpha key to get to the fraction functions including improper fraction.
Thanks 👏 👏 👏 👏
You explain in fantastic way 👍👍
Thanks a lot 😊
I sincerely truly appreciate all your lessons!!! You make math so easy and fun! ❤
I'm so glad! Thanks for watching & commenting.
so good🎉🎉
Thanks so much.
Two Thumbs Up. That's helpful.
Glad to hear! Thanks.
Thanks Math Lady, I was struggling and you help me a great deal. Cheers.
Happy to help!
do you have an electrical background?
I do not, I have a math major and computer science minor.
thank you mam
Most welcome 😊
Im in high school and my afterschool has extremely complicated factoring
Is there more complicated ones? Like roots and fractions.?
Here is a playlist of all types of factoring: ruclips.net/video/TU15PaFhj5o/видео.html It includes things like factoring using the Rational Root Theorem, factoring negative exponents, u-substitution factoring methods, factoring equations in quadratic form etc.
ayayay I thought you're supposed to add with the product rule... Why is she subtracting for the derivative with the e?
Thank you ma'am ❤
You're welcome.
Good Explanation cole's , Thanks for simplifying it.. 👍🏻🔥
You're welcome.
Thank you so much! I was about to memorize this and the trig integrals and you saved me so much time! Easy to follow and understand!!(:
Glad it was helpful.
Ugh, what about nth roots 😢
🎉💫
Ma'am your country has too weak math skills try JEE ADVANCED Mock test so you can test yourself thank you no intention to harm or hurt anyone 😊
Thanks for commenting, I will look into the JEE ADVANCED. My videos are centered around what it taught in the US, but I will look to expand my content.
Excellent have you done video on Taylor ?
No, sorry I have not. I don't currently teach Calc 2, but will make some Calc 2 videos when I have extra free time.
You are a great teacher!
Thank you so much.
Thankyou ma'am. It's still very easy to understand even after 5 years
That's what is so great about mathematics.
Love opening music who composed ? Is there a longer version ?
Honestly, it's been so long ago since I created the opening music, I don't remember what it is or who created it.
I like all the math tricks
Awesome! Thanks.
You've helped me a lot tonight. Thank you so much!
You're welcome. Thanks for watching and commenting.
thanks you so Much !! it made it way easier for me to understand the entire Calc 2 xd
Glad to hear that!
Very easy to understand. Thanks!
You are welcome!
Thanks Miss🫶🏽
You're welcome.
Dlaczego od razu nie wyciągnęłaś 2x przed nawias w mianowniku ?... byłoby prościej...
You can't legally do that.
From India I am in class 6th 😢😢😢
Thanks for watching.
Thank you so much for your help. This is my first time using a Graphing Calculator
You’re welcome! Check out the playlists on my channel for more TI-84 Tutorials.
You are good
Thanks!
Ma'am I think u forgot to put the 1/3 in the right side of the equation.
In the last step, the 1/3 was factored out.
I love you
Great
Thanks! I appreciate the comment!
Can you use this for integrals too? I've notived the integral of cosecx is -ln(cosec + cot) and it works for a few others
Here is a video for memorizing Trig Integrals: ruclips.net/video/99WvTx29jt0/видео.htmlsi=JgGIbAXUjIXuEjCe It uses the same mnemonic device.
@@ColesWorldofMathematics this is golden thank you
thank u!
You're welcome! Thanks for watching!
Your saying the LCD is least, can you help me understand how 3x would be the “least” of the common denominator if x is the lowest value which makes it the lowest value that goes into both
The denominators are 3x and x. We can factor each denominator as follows: 3x (into 3 • x) and x is already in its simpliest form. From that, The unique factors are 3 and x. To find the least common multiple (LCM) of the denominators (LCD), we take the highest power of each unique factor present in the factorizations. Here, we have: 3 (from 3x) and x (present in both 3x and x). Since the highest power of 3 is 3 and the highest power of x is x, the least common multiple (or LCD) of 3x and x is 3 • x = 3x
Your saying the LCD is least, can you help me understand how 3x would be the “least” of the common denominator if x is the lowest value which makes it the lowest value that goes into both
The denominators are 3x and x. We can factor each denominator as follows: 3x (into 3 • x) and x is already in its simpliest form. From that, The unique factors are 3 and x. To find the least common multiple (LCM) of the denominators (LCD), we take the highest power of each unique factor present in the factorizations. Here, we have: 3 (from 3x) and x (present in both 3x and x). Since the highest power of 3 is 3 and the highest power of x is x, the least common multiple (or LCD) of 3x and x is 3 • x = 3x
Thank you very much maam❤
You’re welcome! Thanks for watching.
thanks
You're welcome!
Fantastic
Thank you! Cheers!
Thanks alot I've been having difficulty memorizing this, you just made it a lot easier.
Glad to hear that!
Very helpful!
Thanks!