Least Squares Solutions and Deriving the Normal Equation | Linear Algebra Wrath of Math 2024-07-25 | We introduce the least squares problem and how to solve it using the techniques of linear algebra. We'll discuss least squares error and the least squares error vector. The idea is that we are finding the best approximation, in a subspace W, of a vector u that does not lie in the subspace. We'll find that the vector we seek is the projection of u onto the subspace W. This is the best approximation theorem, which we prove. We'll see how it applies in R^n to solve the least squares problem for systems of linear equations, and find it leads to something called the normal equation for a matrix. By using the normal equation, we'll find the least squares solution for two inconsistent systems Ax=b. Our first example has a unique least squares solution and our second example has infinitely many least squares solutions, which we will represent parametrically. #linearalgebra Pythagorean Theorem in Inner Product Spaces: youtu.be/ncfScVfsLm8Linear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDGLinear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join0:00 Intro0:53 An Inconsistent System and Why to Solve It2:43 Least Squares Solutions and Least Squares Error3:57 Why is it "Least Squares"?5:27 Seeing the Solution9:28 Best Approximation Theorem in Inner Product Spaces13:21 Best Approximation Theorem in R^n14:34 Deriving the Normal Equation17:00 Consistency of the Normal Equation18:21 Full Least Squares Example (Unique Solution)21:06 Full Least Squares Example (Infinitely Many Solutions)23:40 Conclusion◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
but am I acoustic? 🤔🤔 Wrath of Math 2024-04-04 | Finally answering the big question about me. Am I acoustic? 🤔 #mathshorts #mathmemes #tetris Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
10 Hours of AP Calc AB/BC FRQs (to fall asleep to) Wrath of Math 2024-04-03 | 10 hours of AP Calc AB review and AP Calc BC review. We go over 55 AP Calc AB/BC FRQ problems and their complete solutions. Organized by topic. Pro tip: problem numbers above 2 (as in: 3 to 6) generally do not allow calculators.This video nearly killed me, support my toxic trait of filming myself doing math:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/joinDownload the problems to try yourself! patreon.com/posts/101606048Calculus 1 Course: youtube.com/playlist?list=PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJyCalculus 1 Exercises playlist: youtube.com/playlist?list=PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx0:00 Intro1:53 Graph Analysis Problems2:23 2010 AP Calc AB FRQ 517:44 2016 AP Calc AB FRQ 328:07 2017 AP Calc AB FRQ 639:45 Continuity Problems40:10 2003 AP Calc AB FRQ 651:07 2011 B AP Calc AB FRQ 259:55 2012 AP Calc FRQ 41:13:16 IVT and MVT Problems1:14:01 2006 B AP Calc AB FRQ 61:24:59 2011 AP Calc AB FRQ 11:35:35 2013 AP Calc AB FRQ 31:44:25 Linear Motion Problems1:45:09 2011 AP Calc AB FRQ 11:57:43 2013 AP Calc AB FRQ 22:05:26 2021 AP Calc AB FRQ 22:16:43 2022 AP Calc AB FRQ62:25:30 Implicit Differentiation Problems2:26:06 1999 AP Calc AB FRQ 62:38:21 2000 AP Calc AB FRQ 52:53:29 2001 AP Calc AB FRQ 63:00:00 Related Rates Problems3:00:31 2002 B AP Calc AB FRQ 63:08:34 2003 AP Calc AB FRQ 53:16:49 2005 B AP Calc AB FRQ 53:25:50 Extreme Value and Concavity Problems3:26:41 1998 AP Calc AB FRQ 23:41:57 1999 AP Calc AB FRQ 43:50:29 2008 AP Calc AB FRQ 64:02:25 2008 B AP Calc AB FRQ 54:13:41 Tables and Riemann Sum Problems4:14:11 1998 AP Calc AB FRQ 34:23:20 2005 AP Calc AB FRQ 34:37:12 2007 AP Calc AB FRQ 34:49:53 2014 AP Calc AB FRQ 55:00:34 Rates and Accumulation Problems5:00:58 2013 AP Calc AB FRQ 15:14:08 2016 AP Calc AB FRQ 15:25:46 2022 AP Calc AB FRQ 15:37:15 Area and Volume Integral Problems5:37:42 1998 AP Calc AB FRQ 15:51:08 2002 AP Calc AB FRQ 16:01:35 2004 AP Calc AB FRQ 26:13:19 2019 AP Calc AB FRQ 56:24:01 Differential Equations Problems6:24:32 2006 AP Calc AB FRQ 56:36:29 2015 AP Calc AB FRQ 46:45:48 2023 AP Calc AB FRQ 36:57:46 BC Series Problems6:58:13 2001 AP Calc BC FRQ 67:10:51 2002 B AP Calc BC FRQ 67:18:09 2016 AP Calc BC FRQ 67:35:01 2022 AP Calc BC FRQ 67:48:24 BC Polar Coordinate Problems7:48:50 2009 AP Calc BC FRQ 48:09:00 2013 AP Calc BC FRQ 28:11:07 2018 AP Calc BC FRQ 58:23:26 BC Parametric Equations and Vector Problems8:23:50 2002 B AP Calc BC FRQ 18:35:26 2012 AP Calc BC FRQ 28:46:46 2016 AP Calc BC FRQ 28:57:46 BC Euler's Method Problems8:58:07 1998 AP Calc BC FRQ 49:09:20 1999 AP Calc BC FRQ 69:20:29 BC Improper Integral Problems9:20:46 2004 B AP Calc BC FRQ 59:29:15 2017 AP Calc BC FRQ 59:41:53 BC Lagrange Error Bound Problems9:42:10 2004 AP Calc BC FRQ 29:51:13 2011 AP Calc BC FRQ 610:06:29 BC Arc Length Problems10:06:49 2008 AP Calc BC FRQ 410:13:22 2011 B AP Calc BC FRQ 410:22:50 Thank You◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Find Standard Matrix for Linear Transformation | Linear Algebra Exercises Wrath of Math 2024-04-02 | We go over examples of how to find the standard matrix for a given linear transformation, which is equivalent to a matrix transformation. This process is straightforward and requires consideration of the images of the standard basis vectors from our domain to codomain of the transformation. #linearalgebra Linear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDGLinear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJcJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join0:00 Intro0:30 Example 11:51 Shortcut for Finding Standard Matrix2:23 Example 23:58 Example 3◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
17,000 Digits of Pi (slowed and reverbed) Wrath of Math 2024-04-01 | a piece of art that needed to exist #pi #mathmemes #aprilfools Featured media:youtube.com/watch?v=90olwwLdEYg&pp=ygUTaHlwZXJjdWJlIGFuaW1hdGlvbg%3D%3Dyoutube.com/@JohnWhitePercyNon-slowed version: youtu.be/Qt4pdX-w2JASing along with the Lyrics: piday.org/millionJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Memorization Trick for Graphing Functions - Algebra Math Hack! Wrath of Math 2024-04-01 | Awesome memorization trick for graphing the Gary function #mathshortstricks #mathshorts #shorts #math #schoolOriginal short by @JusticeShepardyoutube.com/shorts/RSAD7QNT1hs?si=_xNy-ECn9yB-OeluJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Identify Elementary Matrices | Linear Algebra Exercises Wrath of Math 2024-03-31 | We determine if matrices are elementary or not by determining if they could be obtained from the identity matrix by performing a single elementary row operation.What are Elementary Matrices?: youtu.be/vxB7bAJyL9cLinear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDGLinear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJcJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
integral of sin(x^2) haunts me Wrath of Math 2024-03-31 | Integral of sin(x) was only temporary #mathmemes #mathshorts #calculus1 Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Construct and Interpret 95% Confidence Interval for Population Mean | Statistics Exercises Wrath of Math 2024-03-30 | We calculate and interpret a 95% confidence interval for the mean healing rate in a sample of newts. Biologists studying the healing of skin wounds measured the rate at which new cells closed a cut made in the skin of an anesthetized newt. We will be given data from a random sample of 18 newts and use it to construct our confidence interval by finding the appropriate t value and calculating the standard error. #apstats #statistics Statistics course: youtube.com/playlist?list=PLztBpqftvzxXIKQH2GUoqrJOMLbvAckV5Statistics exercises: youtube.com/playlist?list=PLztBpqftvzxWE5fUxblPHgRTGK2o6XSd3Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Inverse Matrix by Gauss-Jordan Elimination | Linear Algebra Wrath of Math 2024-03-29 | We introduce a simple inverse matrix algorithm. We find an inverse matrix using Gauss Jordan elimination. By converting a matrix to its reduced row echelon form, we can simultaneously convert an identity matrix into the inverse. We will use an augmented matrix and a sequence of elementary row operations to perform this process. We also see an example of applying this algorithm to a non-invertible matrix. #linearalgebra Linear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDGLinear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJcJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join0:00 Intro0:27 Justification of the Algorithm2:38 Inverse Matrix 15:12 Inverse Matrix 26:38 Non-Invertible Matrix7:38 Outro◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
when you remember youre him Wrath of Math 2024-03-23 | 77+33=100, it's how it was meant to be#mathshorts #mathmemes #mathhomework #imhim music: ten to one by medhaneJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
i added up half the whole numbers Wrath of Math 2024-03-22 | #mathshorts #mathmemes #numberphile new -1/12 mememusic: little life by cordeliaJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
A Cute Collection of Areas Wrath of Math 2024-03-21 | We solve a geometry problem from the Mu Alpha Theta math competition. We have an isosceles right triangle, a semicircle, and a quarter circle, and we must find the area of a particular shaded region in this figure. We will do this using some basic geometry and reasoning. #mathcompetition #mathproblems #mathchallenge Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
A Guide to Margin of Error in Confidence Intervals | Statistics Exercises Wrath of Math 2024-03-18 | We define margin of error and see how to calculate a margin of error for a confidence interval for a population proportion (one sample z interval), a margin of error for a difference in population proportions (two sample z interval), a margin of error for a population mean (one sample t interval), and a margin of error for a difference in population means (two sample t interval). In each case we will find the critical value and the standard error. We also see what things affect the size of the margin of error, and see how to determine a sample size that will guarantee a desired margin of error. #apstats #statistics Verifying Conditions for Confidence Intervals: (coming soon)How to Find Z-Score Critical Value from Confidence Level: youtu.be/XXdCRIb3EXkStatistics course: youtube.com/playlist?list=PLztBpqftvzxXIKQH2GUoqrJOMLbvAckV5Statistics exercises: youtube.com/playlist?list=PLztBpqftvzxWE5fUxblPHgRTGK2o6XSd3Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join0:00 Intro1:18 Margin of Error Definition2:46 Interpretation5:54 Anatomy of a Confidence Interval8:10 Changing Confidence Level Changes Margin of Error14:15 How to Change Margin of Error15:47 Confidence Interval for Mean21:26 Find Sample Size from Margin of Error25:15 Confidence Interval for Difference in Proportions29:17 Confidence Interval for Difference in Means34:18 Conclusion◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
the LEAST popular way to write pi Wrath of Math 2024-03-17 | How do you write the constant pi? In this video I go over a recent poll I did, and the results of the 3000 responses. Including a top secret, very ugly and very unpopular way to write pi. #piday #pi #maths Rapping 17,000 Digits of Pi for Pi Day: youtu.be/Qt4pdX-w2JALook at more math paraphernalia with me! youtube.com/playlist?list=PLztBpqftvzxXDxjBmk_7gvTaldyLK8sXSJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Pi Tier List Wrath of Math 2024-03-14 | Where does your π rank on the pi tier list? #piday #mathmemes #maths Watch me rap the first 17,000 digits of pi: youtube.com/watch?v=Qt4pdX-w2JAJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Rapping 17,000 Digits of Pi Wrath of Math 2024-03-14 | Celebrating π day by rapping 17,000 digits of pi! Or, to be exact, rapping pi to 16,938 digits. AI generated subtitles, apologies in advance for errors in its transcription and errors in my rapping. Go have a pie and relax. #piday #mathmemes #maths #mathsongs The least popular way to write pi: youtu.be/yJsw4knbOTASing along with the Lyrics: piday.org/millionDon't be a bad boy: youtu.be/Pi8H6PCG1FMPoints of Interest, as Determined by a Team of Experts0:00 Begin2:50 Accidentally say "Uh"4:10 More Accidental Rap-isms4:27 9999994:57 ONE5:42 Accidental Uh 26:13 Sing Along!7:26 Blood Curdling Screaming8:05 Seven9:15 VIBIN'9:41 SEVEEEEEEEN11:13 Catch the Beat12:30 Zero17:28 One, Two, Three!18:20 FIVE18:49 Cute Flow21:34 Singy Songy21:57 Flow Recovery25:03 Feelin' this Jam27:05 Childish Rhythm29:15 ONE31:28 Six Six Six 33:02 Most Disappointing Beat Drop of All Time35:44 Gotta Blast!38:12 Laid Back38:55 Happy Vibes40:38 FAVORITE TRACK41:04 Recovery into Melody44:02 Softly Singing Pi to You47:34 Singing Pi Not as Softly48:48 Losing my Voice from all the Screaming49:24 Singing Through the Pain50:22 First Falsetto55:50 Second Falsetto56:39 Abrupt Stop1:05:03 It's Going to Be Okay1:07:56 FOUR1:14:04 mY VoIcE1:15:23 Nice1:18:02 Third Falsetto1:18:46 Still Yelling1:20:52 nniiccee1:21:26 Bungle-palooza1:25:26 Voice Crack into Falsetto1:27:50 Holiday Vibing1:28:12 First Attempt at Jingle Bells1:29:27 Beats Dissappears When I'm About to Rock1:31:17 Spicy Beat Dropout1:34:16 Beat Countdown1:35:02 Sing Along!1:37:26 Ho, Ho, Ho!1:37:55 Jingle Bells Attempt 21:38:51 FEELIN' IT1:41:03 Camera DeathJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
stop with cruel stereotypes 😡 Wrath of Math 2024-03-13 | Just because I like math does NOT MEAN I am a nerd 😡 #mathshorts #mathmemes #maths Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
An Easy Triangle Problem from the AHSME Wrath of Math 2024-03-08 | We solve a geometry problem from the American High School Mathematics Exam. This high school math competition problem gives us a triangle and two lines cutting it parallel to the base in a unique way. We have lots of info to work with and will use triangle similarity to find the length of the longer of the two lines. In particular we take advantage of the ratio of the areas of two similar triangles. #mathcompetition #mathproblems #mathchallenge Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
A Tricky Factorization for Math Competition Problem Wrath of Math 2024-03-07 | We solve a math competition problem from the Mu Alpha Theta math competition. It asks us to evaluate a sum of reciprocals of sums of cube roots. We will evaluate this messy sum by considering the factorization of a difference of cubes. Patterns emerge and solutions follow. #mathcompetition #mathchallenge Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Find the Scale Factor of a Dilation | Pre-Algebra Exercises Wrath of Math 2024-03-06 | The scale factor of a dilated image is the number we need to multiply the original coordinates by to transform it to the new coordinates. For example, under a scale factor of 2, the point (1, 3) would be transformed to the point (2, 6). We solve two example problems of finding the scale factor of a dilated figure. #prealgebra Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/joinAll About Dilations: (coming soon)Pre-Algebra Course: youtube.com/playlist?list=PLztBpqftvzxVBhaagFl_7pKmHYCrWDvdSPre-Algebra Exercises: youtube.com/playlist?list=PLztBpqftvzxUxhCayVXGyJQ9_2S3k7XuQ◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Vector Subspaces and Subspace Test Explained | Linear Algebra Wrath of Math 2024-03-05 | If V is a vector space and W is a subset of V, then W may itself be a vector space and if so is called a subspace, or linear subspace, of the vector space V. We introduce the definition of a vector subspace, the subspace test, see a proof of the subspace test, and then we'll look at several examples of subspaces and non-examples of subspaces in R^2, R^3, Mnn and more. #linearalgebra Using the Subspace Test: youtu.be/u_9kWr7czGILinear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDGLinear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJcJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join0:00 Intro0:38 Definition of a Vector Subspace2:23 Nontrivial Subspace Properties4:10 Subspace Test7:38 Trivial Subspaces9:04 Subspaces of R^2 and R^311:08 Non-Examples of Subspaces in R^2 and R^312:29 Subspaces of Square Matrices13:50 Non-Examples of Subspaces of Square Matrices14:27 Conclusion ◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
dont use the chain rule, bro Wrath of Math 2024-03-05 | don't do it! #mathmemes #mathshorts #calculus Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Find the Last Digit of 42^42 Wrath of Math 2024-03-04 | We use modular congruence, the binomial theorem, and exponent rules to find the units digit of the massive number 42^42. #mathproblems #mathcompetition #mathchallenge Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
An Easy Number Theory Problem Wrath of Math 2024-03-01 | We find the smallest number N such that N/2 is a perfect cube, N/5 is a perfect square, and N/3^3 is an integer. We solve this problem by writing N as a product of prime factors and then impose the necessary restrictions to find the exponents of these factors. #mathproblems #mathcompetition #mathchallenge Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
does size matter? Wrath of Math 2024-03-01 | Comparing a large calculator to a small calculator, what shall we find? #mathmemes #calculator #mathshorts Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Youll Never Guess the Last 2 Digits Wrath of Math 2024-02-29 | We find the last two digits of 11^111 using modular arithmetic and some simple computational tricks. Calculating 11^111 is obviously not something we want to do, but calculating 11^111 mod 100 by hand is a cinch! #mathproblems #mathchallenge #mathpuzzle Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
How close must the dots be? Wrath of Math 2024-02-28 | Five points are placed randomly in (or on) an equilateral triangle with perimeter 3. What is the probability that two of the dots are within 0.5 units of each other? We solve this geometry problem using the medians of a triangle and the pigeonhole principle; no probability theory required! #mathproblems #mathpuzzle #maths Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
your W is an L Wrath of Math 2024-02-28 | How do you write w? It's probably an L if we're being honest. #mathshorts #mathmemes #handwriting Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
A Number Theory Problem from the Indian Math Olympiad Wrath of Math 2024-02-27 | A nice number theory problem from the Regional Math Olympiad (RMO). We are asked to find the remainder when 2^1990 is divided by 1990. We will use Fermat's Little theorem, the binomial theorem, and some modular arithmetic to reduce these powers to some more manageable things and find the remainder. #mathproblems #mathpuzzle #numbertheory Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
are you making this calc mistake? Wrath of Math 2024-02-26 | Indeterminate form is calculus-speak for you have more work to do. In other words, all of these limits DO exist. #calculus1 #apcalculus #mathshorts #mathmemes another horrific calc mistake: youtube.com/shorts/cyv61NyMU_QJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
A Nice Russian Olympiad Problem with Deleting Digits Wrath of Math 2024-02-26 | A Russian math olympiad problem asks us to find all integers with the property that when the last digit is deleted, the integer is divisible by that new number. We will find all solutions using the division algorithm and putting together a handful of constraints. This problem is from the USSR Math Olympiad problem book. #mathproblems #mathpuzzle #matholympiad Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
A Quick Area Problem Wrath of Math 2024-02-25 | We have a circle and a square with two vertices on the circle, and the other two vertices joined by a side tangent to the circle. We are asked to find the ratio of the area of the circle to the area of the square. We will do this using a right triangle formed by bisecting a chord of the circle and then using the pythagorean theorem and some algebra. #mathproblems #mathpuzzle #geometryproblems Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
A Nice Number Theory Problem (ft Sophie Germains Identity) Wrath of Math 2024-02-24 | We solve a nice number theory problem asking for what positive integer values of n n^4 + 4 is prime. We will use Sophie Germain's identity to factor the expression and arrive quickly at an answer. #numbertheory #mathcompetition #mathproblems #mathchallenge Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Girl Math 👧 Wrath of Math 2024-02-24 | We take a quick look inside Applied Math for Girls by Nettie S Davis. #mathbook #mathmemes #mathshorts More in depth looks at math books: youtube.com/watch?v=d8kiQoEKLYU&list=PLztBpqftvzxXDxjBmk_7gvTaldyLK8sXS&index=8Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Use Table to find p-Value from z-Test Statistic | Statistics Exercises Wrath of Math 2024-02-23 | We solve an example using a z table to estimate the p-value for a two tailed z-test for sample proportions. We are given the z-test statistic and will consult the table to find the p-value and make a conclusion regarding the null hypothesis. We also assume the conditions for conducting the hypothesis test (conditions for inference) are satisfied. #apstats #statistics p-Value from t-Test: youtu.be/89gbrMYveNkStatistics course: youtube.com/playlist?list=PLztBpqftvzxXIKQH2GUoqrJOMLbvAckV5Statistics exercises: youtube.com/playlist?list=PLztBpqftvzxWE5fUxblPHgRTGK2o6XSd3Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
derivative rules audition for the school play Wrath of Math 2024-02-23 | The derivative of e^x is e^x and that's why it's funny #mathmemes #mathshorts #mathjoke #diaryofawimpykid #calculus Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Can you make these equations true? Wrath of Math 2024-02-22 | Place parentheses to make the equations true! #mathshorts #mathpuzzle #mathproblems Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
The Triangle Speaks to Us Wrath of Math 2024-02-22 | We find the radius of a circle using only the sides of an inscribed triangle. If we have a triangle and draw a circle passing through its vertices, that triangle is said to be inscribed in the circle, and the circle is called a circumcircle and is said to circumscribe the triangle. We will find its radius using Heron's formula and the extended law of sines. #mathpuzzle #mathproblems #mathcompetition Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
How many zeroes are at the end of 100! ? Wrath of Math 2024-02-21 | 100 factorial is a massively big number with a lot of trailing zeroes. Just how many zeroes are there at the end of 100!? We will find this out by counting factors of 2 and 5 in 100!, and pairing them up to form factors of 10. Each factor of 10 gives an additional zero at the end of 100!. #mathproblems #mathchallenge #mathpuzzle #maths Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Which is bigger? A hard 6th grade math problem! Wrath of Math 2024-02-20 | Which fraction is bigger - 3997/4001 or 4996/5001? These two fractions are very close together, as we'll see they differ by only a thousandth. We use some basic algebra on an inequality to determine which fraction is bigger without doing any difficult math computations. This problem comes from Ben Orlin: instagram.com/mathwithbaddrawingswho wrote it way back when for his sixth grade class. #mathproblems #mathpuzzle #maths Challenging Math Problems: youtube.com/playlist?list=PLztBpqftvzxUk1Tmyznb43HvRWfjLNSo6Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
upgrade your 3s Wrath of Math 2024-02-20 | A quick handwriting tutorial on how to upgrade your pitiful 3s! #mathshorts #mathmemes #handwriting 2 Tier List: youtube.com/shorts/KGU7zOHaR0Q?si=k_4ZXJ7cO4FrK4dO3 Tier List: youtube.com/shorts/iV89E2YwzXUJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Math Bad Boys! 😎 Wrath of Math 2024-02-19 | This is a song about being a BAD math boy. Enjoy, and don't be a bad math boy like us! #mathshorts #mathsongs #mathmemes #badboy My other math songs: youtube.com/playlist?list=PLztBpqftvzxW7a66b0dJPgknWsfbFQP-cJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/joinLyrics:Mathematical bad boy homie I'm straight rottenCatch me splitting a fraction across the terms in the bottomIt's definite that you ain't gonna catch and bust meWrite an indefinite integral with no plus CTrust me I enact evil I done preparedThe square of the sum is the sum of the squaresopened up the gates of hell after I closed heavenRoot of evil - root 2 - pi is 22 seventhsI'm at a circle of devils pickin' a name for my functionWe decided x, and f is what we'll plug inI'm not buggin yo it's the wickedest tricks111 times 2 to the 3's six six sixFrostbitten flows you know there's nothing coolertop two mathematicians are Fermat and EulerWe vexxed in here curses - I can survive3x plus 2 that's x times 5It's all like terms where I'm from it's all darknessI gives mics burns from the moment I start thisMy numbers vampiric 1260 out the tombLast time I used a calculator was for my angle out the wombWe ain't going nowhereWe ain't going nowhereWe can't be stoppe nowWe bad math boys for life!◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Find Mean with Percentile and Standard Deviation | Statistics Exercises Wrath of Math 2024-02-19 | We go over how to find the mean of a distribution given a data value, its percentile, and the standard deviation of the distribution. This requires looking up the percentile in the z-score table and then using the corresponding z score in the z score equation in order to solve for the mean. #Statistics #APStatistics Find Percentile from mean and Standard Deviation: youtu.be/kdp1I7s15MMStatistics playlist: youtube.com/playlist?list=PLztBpqftvzxXIKQH2GUoqrJOMLbvAckV5Statistics exercises: youtube.com/playlist?list=PLztBpqftvzxWE5fUxblPHgRTGK2o6XSd3Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Math Bad Boys! 😎 Wrath of Math 2024-02-18 | This is a song about being a VERY BAD math boy. Don't be bad math boys like us! #mathsongs #mathmemes #badboy My other math songs: youtube.com/playlist?list=PLztBpqftvzxW7a66b0dJPgknWsfbFQP-cJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/joinLyrics:Mathematical bad boy homie I'm straight rottenCatch me splitting a fraction across the terms in the bottomIt's definite that you ain't gonna catch and bust meWrite an indefinite integral with no plus CTrust me I enact evil I done preparedThe square of the sum is the sum of the squaresopened up the gates of hell after I closed heavenRoot of evil - root 2 - pi is 22 seventhsI'm at a circle of devils pickin' a name for my functionWe decided x, and f is what we'll plug inI'm not buggin yo it's the wickedest tricks111 times 2 to the 3's six six sixFrostbitten flows you know there's nothing coolertop two mathematicians are Fermat and EulerWe vexxed in here curses - I can survive3x plus 2 that's x times 5It's all like terms where I'm from it's all darknessI gives mics burns from the moment I start thisMy numbers vampiric 1260 out the tombLast time I used a calculator was for my angle out the wombWe ain't going nowhereWe ain't going nowhereWe can't be stoppe nowWe bad math boys for life!◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
but what is math like in Virginia? Wrath of Math 2024-02-17 | We look at the special Virginia edition of the Larson Algebra 1 textbook. #algebra1 #mathbook Look at more math paraphernalia with me! youtube.com/playlist?list=PLztBpqftvzxXDxjBmk_7gvTaldyLK8sXSJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
The Inverse of sin is... Wrath of Math 2024-02-17 | This is a Pre-Algebra Book for Christians by Hal C. Oberholzer II. It is filled with beautiful full page spreads of biblical portraits and stories. #mathbook #mathmemes #mathshorts Look at more math paraphernalia with me! youtube.com/playlist?list=PLztBpqftvzxXDxjBmk_7gvTaldyLK8sXSJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
How to Find Z Score from Confidence Level with Normal Distribution | Statistics Exercises Wrath of Math 2024-02-16 | We go over how to find the critical value (z score or z* value) from a normal distribution when given a confidence level for a z-interval. We'll use a 95% confidence interval, a 99% confidence interval, and a 90% confidence interval for our examples. #apstats #statistics Statistics course: youtube.com/playlist?list=PLztBpqftvzxXIKQH2GUoqrJOMLbvAckV5Statistics exercises: youtube.com/playlist?list=PLztBpqftvzxWE5fUxblPHgRTGK2o6XSd3Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
I GUARANTEE youve played this game Wrath of Math 2024-02-16 | Math games are a lot of fun! In this simple game, two players take turns choosing numbers from 1 to 9 with the goal of picking some combination of numbers that add to 15. But it turns out this is a very very familiar game! #mathshorts #mathgames #math Credit to Ben Orlin and his wonderful book "Math Games with Bad Drawings" for this video! Buy Ben's wonderful book: amzn.to/3OHG0kUJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
a hard puzzle - can you make 10 with these digits? Wrath of Math 2024-02-15 | A fun little math puzzle - can you use the digits 1, 1, 5, and 8 exactly once to write an expression equal to 10 using only basic operations? #mathpuzzle #mathproblems #mathshorts Join Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
Finding the Inverse of a 2x2 Matrix | Linear Algebra Wrath of Math 2024-02-15 | A 2x2 matrix is invertible if its determinant ad-bc is nonzero. In this case, the inverse is found by multiplying the reciprocal of the determinant by the original matrix with its main diagonal reflected and its counter diagonal negated. We'll do two examples of finding the inverse of a 2x2 matrix. #linearalgebra Proving the Inverse of a 2x2 Matrix Formula: (coming soon)Linear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDGLinear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJcJoin Wrath of Math to get exclusive videos, music, and more:youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join◉Textbooks I Like◉Graph Theory: amzn.to/3JHQtZjReal Analysis: amzn.to/3CMdgjIAbstract Algebra: amzn.to/3IjoZaOLinear Algebra: amzn.to/43xAWEzCalculus: amzn.to/3PieD1MProofs and Set Theory: amzn.to/367VBXP (available for free online)Statistics: amzn.to/3tsaEERDiscrete Math: amzn.to/3qfhoUnNumber Theory: amzn.to/3JqpOQd★DONATE★◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons◆ Donate on PayPal: paypal.me/wrathofmathThanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!Outro music is mine. You cannot find it anywhere, for now.Follow Wrath of Math on...● Instagram: instagram.com/wrathofmathedu● Facebook: facebook.com/WrathofMath● Twitter: twitter.com/wrathofmatheduMy Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
