Thursday, September 28, 2023

Cool Viral Mensa IQ Math Question - See If This Pattern Makes Sense



from PK Math https://www.youtube.com/watch?v=V2BXBsiObWo

International Math Olympiad (IMO) - A Very Interesting Algebra Problem

In this video, we are solving a very interesting algebra problem from International Math Olympiad (IMO) using a series. Dealing with multiple algebraic terms in a series was a key to solve this question, and International Math Olympiad (IMO) is full of interesting yet challenging problems that I am planning to cover many of them. Very important skills were included in the solution. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/obM1viy ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #matholympiad #imo Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=4O1NK8BKWhY

Monday, September 25, 2023

Viral Mensa IQ Math Question - Unique Pattern to See



from PK Math https://www.youtube.com/watch?v=tUfKdyoWKbU

International Math Olympiad (IMO) - A Very Interesting System of Equations

In this video, we are solving an interesting system of equations from International Math Olympiad (IMO). Very important algebraic skills and techniques are included about how to come up with final solutions through manipulation of equations in the system. International Math Olympiad (IMO) is full of interesting yet challenging problems that I am planning to cover many of them. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/lShZv0n ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #imo #matholympiad #systemofequations Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=P3tELr6aB70

Saturday, September 23, 2023

Deceiving Viral Mensa IQ Math Question - Find Pattern



from PK Math https://www.youtube.com/watch?v=yqoHEskNGYo

Very Fun Composite Function Problem in Algebra by @blackpenredpen from Princeton Math Tournament

In this video, we are solving an interesting algebra problem, the composite function, suggested by @blackpenredpen from Princeton University Math Tournament. We basically have four composite functions of f(x), and needed to analyze it to come up with the final answer. Very interesting yet important algebraic skills are included in the video. Factoring skills are also included in the video to deal with quadratic function. Watch the video until the end. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/Sluo2LB ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #quadraticequation #compositefunction Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=veLK41_EwYs

Thursday, September 21, 2023

Very Unique Viral Mensa IQ Math Question - Think About Clock



from PK Math https://www.youtube.com/watch?v=xyI5eTBakvs

A Surprisingly Interesting Exponential Equation You Will Never Regret Trying to Solve

In this video, we are solving a very interesting exponential equation with natural log and trigonometric function. This is an interesting exponential equation as we need to deal with certain conditions and special skills to deal with natural log and trigonometric function at the same time to come up with the solutions to the exponential equation. More to come! Stay tuned! Problem credit to @usdescartes ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/bDj69qA ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #exponentialequations #matholympiad Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=VyrPp2H9W9Q

Monday, September 18, 2023

JEE Advanced Mathematics - A Beautiful Symmetric Function as Series

In this video, we are solving an interesting symmetric function to work on a series from JEE Advanced Mathematics. Very interesting question to first see how the function is symmetric, and we work on a telescoping series through beautiful algebraic work. JEE Advanced Mathematics is full of interesting yet challenging problems that I am planning to cover many of them. Check out this beautiful symmetric function and see how series are worked out nicely through algebra. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/Z0QIFHJ ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #jeeadvanced #function #algebra Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=ui-GkXXjB9k

Saturday, September 16, 2023

International Math Olympiad (IMO) - Cool Trigonometric Proof

In this video, we are working on interesting trigonometric proof from International Math Olympiad (IMO), using many of the trigonometric identities, double angle formulas, and others. This video introduces many trigonometric formulas and identities you can use to work on this interesting and cool trigonometric proof from International Math Olympiad (IMO). International Math Olympiad (IMO) is full of interesting yet challenging problems that I will cover many of them. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/FSTfpwh ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #imo #matholympiad #trigonometry Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=N5iqLlLCxg8

Wednesday, September 13, 2023

A Surprisingly Interesting Number Theory Problem

In this video, we are solving a very interesting number theory problem suggested by one my great viewers, @juliancarax4797. In this problem we analyze integers for m and n to satisfy conditions and eventually come up with final answers. Focusing on how this number theory problem was finite and symmetric, we were able to come up with the final solutions. Very interesting number theory problem, and important algebraic skills were included. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/vUAVE3J ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #numbertheory #algebra #mathskills Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=IDtSbIA79vM

Monday, September 11, 2023

Romanian Math Olympiad - A Very Interesting Diophantine Equation with @onlineMathsTV | PK MATH

In this video, we are solving this interesting diophantine equation from Romanian Math Olympiad with @onlineMathsTV We are solving this problem in slight different method, and implement all the important techniques of factoring or algebraic work to come up with integer solutions to this interesting diophantine equation from Romanian Math Olympiad. How to approach diophantine equation? Come check this video, and watch it until the end. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/XCioNOK ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #diophantineequation #matholympiad Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=_z2kQpMevMg

Sunday, September 10, 2023

Very Challenging Differential Equation with @SyberMath | PK Math

In this video, I am solving this interesting yet very challenging differential equation. @SyberMath solved this question yesterday without initial conditions and presented general solution in such a beautiful way. In my video, I am solving the same differential equation by applying two initial conditions to present a unique solution. Very important yet interesting differential equation, and thanks to @usdescartes, we are able to present solutions for this beautiful differential equation. More to come! Stay tuned! Problem credit to @usdescartes ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/Unw9vAB ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #differentialequation #calculus #derivatives Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=USmswIG-EKQ

Saturday, September 9, 2023

Viral Math Question 4+4÷2^2(5+1)?



from PK Math https://www.youtube.com/watch?v=lkvkJdXjZA4

Probably the Best Integral on Twitter | PK Math

In this video, we are evaluating probably the best integral you can find on Twitter. This is very interesting integral using principal value definition of natural log of x and proceed with proper integral of inverse of trigonometry to come up with the answer. Also, there is a very important integral included in the solution, which is the integral of natural log of x. More to come! Stay tuned! Problem credit to @usdescartes ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/DgOECs7 ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #integral #calculus #trigsubstitution Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=ibbln9J1Kdg

Friday, September 8, 2023

Only IQ 150 Can Get the Second Answer



from PK Math https://www.youtube.com/watch?v=nfG3ukZMtyc

Shortest Solution to this Interesting Integral from NTU Entrance Exam by @blackpenredpen | PK Math

In this video, we are evaluating an interesting integral from NTU Entrance Exam by @blackpenredpen, and this is my take on this integral through the possibly shortest solution using integration by parts and trig substitution. Stay tuned! Video of this integral from @blackpenredpen below https://www.youtube.com/watch?v=PWGJGnji5Nk ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/Zy2uLfe ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #integral #integrationbyparts #trigsubstitution Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=rkmnYA2QUYM

Thursday, September 7, 2023

Feynman's technique is the greatest integration method of all time | PK Math

In this video, we are evaluating an extremely challenging integral using Feynman technique after working on many trig substitutions. This integral is very challenging as we need to make the integrand a form that is easier to work with through trig substitution and eventually use Feynman technique. Feynman technique is one overpowered one we can use for challenging integral when necessary. More to come! Stay tuned! Problem credit to @usdescartes ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/UJoOjCa ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #integral #feynmantechnique #trigsubstitution Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=pOwXM76UxJ4

Wednesday, September 6, 2023

2022 Korean College Entrance Exam (Suneung) - Grouping Functions | PK Math

In this video, we are solving this interesting algebra question about grouping functions to come up with the answer with graphs. Graphing method is time to time strongly recommended to use when visualizing the function at hands, and this interesting algebra problem from Korean CSAT Math exam in 2022 helps you walk through how to use graphing method and group functions. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/uzBa5Ad ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #KoreanCSAT #KoreanSATmath #groupingfunctions Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=ZYshwseiriU

Monday, September 4, 2023

A Very Interesting Arithmetic Sequence Problem Collaborated with @SyberMath | PK Math

In this video, I am collaborating with @SyberMath working on this interesting arithmetic sequence problem suggested by @usdescartes. This is a very interesting arithmetic sequence problem that terms are not given as a number but as a variable in expression, and we work to solve problem together and come up with nice solutions at the end. This is quite an interesting arithmetic sequence working with common difference in expression. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/RCHB7O2 ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #arithmetic #sequence #commondifference Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=c57I7uPrPgM

Sunday, September 3, 2023

Korean Math Olympiad - An Interesting Partial Derivatives Using Lagrange Multiplier | PK Math

In this video, we are solving this interesting algebra question using partial derivatives with lagrange multiplier. This is from Korean Math Olympiad, and important algebraic techniques and derivative skills are included. We specifically use lagrange multiplier to solve this question by calculating the minimum and maximum value asked by the question. How to use lagrange multiplier for partial derivative? Very interesting problem from Korean Math Olympiad. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/8YoyIgi ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #matholympiad #lagrangemultiplier #derivatives Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=3XZ8Xheg9nc

Friday, September 1, 2023

JEE Advanced Mathematics - A Challenging and Interesting Calculus Problem | PK Math

In this video, we are solving a challenging yet interesting calculus problem from JEE Advanced Mathematics. This problem is interesting as it contains solutions with limits and integral through integration by parts. Very interesting calculus problem from JEE Advanced Mathematics, presenting important factoring skills, converting skills to integral, and also limit properties. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/QUNi5bk ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #jeeadvanced #limits #calculus Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=WcLmlJjhr9A

Ivy League Math PhD Explains ฯ€

from Dr PK Math Shorts https://www.youtube.com/watch?v=PXxAFSSmGP8