Retour

Explorez tous les épisodes du podcast The Math Club

Plongez dans la liste complète des épisodes de The Math Club. Chaque épisode est catalogué accompagné de descriptions détaillées, ce qui facilite la recherche et l'exploration de sujets spécifiques. Suivez tous les épisodes de votre podcast préféré et ne manquez aucun contenu pertinent.

Rows per page:

1–50 of 71

TitreDateDurée
Partial Credit: Exploring Luhn's Algorithm24 Dec 202500:30:08
Ever wonder how a website knows your credit card number is "invalid" before you even hit the submit button? In this commando-style holiday episode, Pete and Noah dive into the secrets of Luhn's Algorithm, a clever approach that uses simple arithmetic to validate sequences of digits.


Questions Answered in the Episode:
• How does the Luhn algorithm work to validate credit card numbers?
• Why do credit card companies use a checksum digit?

My Favorite Number - Listeners Share Their Favorite Numbers17 Dec 202500:40:58

It's a simple question: What's your favorite number? But as Pete and Noah discover in this special episode, the answers are anything but simple—they're deeply personal, surprisingly mathematical, and always connected to a story. Join our hosts as they open up the floor to listeners, friends, and family to find out their favorite numbers and the fascinating reasons behind their choices.

Questions Answered in the Episode:
• What numbers do people choose as their favorite number?
• What are some reasons people choose certain numbers as their favorite?

I Have a Little Bias: The Mathematics of Dreidel18 Dec 202400:49:42

It's the holiday season, and Pete and Noah are getting into the festive spirit by looking at the math behind a favorite Hannukah game.  Join our hosts as they delve into the probabilities of the dreidel and uncover a counterintuitive truth about its fairness.  Whatever traditions you and your family look forward to at this time of year, we promise a lively and interesting time as we take this topic for a spin.  Seasons Greetings!

Robert Feinerman's paper, An Ancient Unfair Game

Questions Answered in the Episode:
• Why is the game of dreidel mathematically unfair, and which player has the statistical advantage?
• How do the different possible outcomes of each dreidel spin affect the expected value of the pot for each player?

Finding Primo: The Search for Very Large Primes20 Nov 202400:46:53

Have you heard the big news?  There's a new largest known prime number, and Noah wants to know how it was discovered.  In this episode, Pete explains the various tests used to determine the primality of insanely large numbers, and there's even a prime challenge for you to sink your teeth into.

Questions Answered in the Episode:
• How are new prime numbers discovered?
• What are Mersenne primes and how are they calculated?

Talkin' 'bout My Generation: A Deep Dive into The Math Club06 Nov 202400:26:36

Are you ready to revisit the best of The Math Club?  Pete and Noah share a trip down memory lane with a pair of special guests.  But as they dive deeper into their past episodes, a nagging feeling grows harder to ignore..  Who are these mysterious guests, and what strange secret are they hiding from our hosts?

Episodes we reference in our conversation:

 

Elective Procedures: The Mathematics of Voting Systems23 Oct 202400:43:51

The memory of a restaurant-choosing game from grad school inspires Pete and Noah to look at different voting systems, and the math behind how they work to select a winning candidate. From standard majority rules to ranked choice to plurality with elimination, join our hosts for a lively (and timely) conversation about how our voting system can be just as important as our vote.

Questions Answered in the Episode:
• What is the Borda count method and how is it used in ranked choice voting?
• How does plurality with elimination redistribute votes to determine a winner?

Two Heads are Better Than One: A Counterintuitive Coin Flipping Problem02 Oct 202400:38:06

An unlikely string of coin flips leads to a conversation about a counterintuive puzzle that Pete found online.  Join in on the fun as Pete and Noah dissect this problem, and talk about multiple ways to approach understanding its solution.

Daniel Litt's Twitter post with the puzzle

Noah's Scratch simulation of the problem

 

Leave us a voice message

DM us on Twitter

Send us an email

Questions Answered in the Episode:
• What are the odds of flipping n heads in a row?
• In the Daniel Litt coin puzzle, who is more likely to find two heads first: Alice or Bob?

Mini Series18 Sep 202400:05:24

Hey Math Club...  Pete and Noah need your help with a data mystery, so they put this mini-episode together.  If you think you have any info that can help shed some light, drop us a line...

Houston, We Have Some Problems: Currently Unsolved Math Questions11 Sep 202400:34:44

Unsolved.  From the origin of Stonehenge, to the identity of Jack the Ripper, to the location of all those missing dryer socks, the world is full of unsolved questions.  But what about math?  Join Pete and Noah as they discuss some of the great unsolved problems facing mathematicians today.

Questions Answered in the Episode:
• What are some unanswered problems in mathematics.
• What is the Goldbach conjecture and how does it relate to prime numbers?
• What is the Twin Prime conjecture and how are these pairs distributed along the number line?

Making it Count: An Interview with MATHCOUNTS28 Aug 202400:42:47

Pete's efforts to help Noah prepare for an upcoming math competition lead to a conversation with Kristen Chandler, the executive director of MATHCOUNTS.  Join Pete and Noah as they learn about this fascinating organization that provides engaging math programs to middle school students around the country. 

 

Questions Answered in the Episode:
• What are the MATHCOUNTS Competition and the MATHCOUNTS National Math Club programs like?
• How does the MATHCOUNTS competition structure work across school, chapter, state, and national levels?

Hire Order Thinking: Exploring Optimal Stopping Theory14 Aug 202400:39:08

A batch of almost perfect waffles leads Pete and Noah into an exploration of an interesting probability result.  Come find out how, whether you're eating breakfast or hiring a new employee, math is here to help you make the best choice.

Questions Answered in the Episode:
• What is the 37 percent rule in the secretary problem?
• How does the mathematical constant e relate to optimal stopping theory?

Double Dealing: The Mathematics of Deal or No Deal, Part 217 Jul 202400:35:09

It's time for our second episode about the mathematics of Deal or No Deal.  At the end of Part 1, Noah asked Pete if The Banker follows certain set rules or patterns when deciding how much to offer contestants, and a challenge was born.  Is it possible to use data from past shows to devise an algorithm that can predict the offers?  Stay tuned as Pete takes Noah along on his mathematical journey in search of a model that works.

Questions Answered in the Episode:
• Can you use math to predict the banker's offers on Deal or No Deal?
• What is the difference between using a linear model and a random forest algorithm for data analysis?

Bonus Material - Math Club Junior: It's a Zoo Out There!01 Oct 202500:01:06

Hey there Math Club.  Our most recent episode, Math Club Junior:  It's a Zoo Out There, was our second special episode made specifically for kids.  When Noah was planning how he wanted to use the episode with his own third grade class, he knew that some visuals would come in handy, so he created a slide deck with images to go along with each problem that the students will have to solve.  

If you'd like to use this resource along with the audio, you can find it by going to: https://bit.ly/mcj_zoo

We hope you find these images to be fun and helpful, and we'll see you next time!

 

What's the Deal?: The Mathematics of Deal or No Deal19 Jun 202400:27:36

The recent return of this classic game show prompts Pete and Noah to discuss the probability and statistics at work, to see if they can figure out what makes for a "good deal".  Join in as they dive into the mathematics behind the show.  They'll even present you with a challenge that could earn you a shout out on a future episode.

Deal or No Deal Data for this episode's challenge

Questions Answered in the Episode:
• What is the expected value of the briefcases in Deal or No Deal, and how do you calculate it?
• How do the mean and median of the briefcase amounts affect player perception in Deal or No Deal?

A Mathematician Walks Into a Bar: A Celebration of Math Jokes24 Apr 202400:33:25

It's The Math Club's second anniversary, and what better way to celebrate than by telling a bunch of math jokes?  Join us as we share our favorites, along with jokes from our listeners and a few special surprises along the way.  Knock knock.  Who's there?  The Math Club!  

Leaving Flatland: A Discussion About Higher Spatial Dimensions06 Mar 202400:29:23

How many dimensions does a sphere have?  If you said three (like Noah did), you may be surprised to hear that you overshot.  In this episode, Pete and Noah explore spatial dimensions, and use a literary classic to illustrate what it even means when mathematicians talk about spaces with more than three.

Questions Answered in the Episode:
• What is the difference between a sphere and a solid ball in mathematics?
• How can we visualize higher spatial dimensions using the Flatland analogy?

Rooty Tooty: Calculating Square Roots by Hand24 Jan 202400:33:16

A family movie night reminds Pete of an ancient algorithm for calculating square roots, so it's back to The Math Club with pencils and paper in hand.  Join Pete and Noah as they investigate this algorithm to see just how accurate its results can be.

 

Questions Answered in the Episode:
• How do you calculate the square root of a non-perfect square by hand?
• What is the Heron of Alexandria algorithm for approximating square roots?

Math Club Encore: So Many Birds13 Dec 202300:21:35

Hey there, Math Club.  We're taking some time off to spend the holidays with our families, so this week we have a rerun of last year's holiday episode...  So Many Birds.

Season's Greetings!  With the holidays on the horizon, a famous song leads Pete and Noah to talk about strategies for adding up long sequences of numbers.  Come join the fun, and learn how a young Carl Gauss may (or may not) have done it.  And if you're up for a challenge, we even "sum it up" with a special holiday puzzle for you to try.

Brian Hayes's article in American Scientist

Leave us a voice message
Email us
Follow us on Twitter

Math Club Encore: Tales from Decrypt29 Nov 202300:41:45

Hey there, Math Club.  We're taking some time off to spend the holidays with our families, so we have a rerun of one of our favorite episodes this week...  Tales from Decrypt.

Today's match-up answers the age-old question of what happens when an unstoppable brain meets an unbreakable cipher.  In the red corner, weighing in at 2,193 digits….   Noah's deviously encrypted message!  And in the blue corner.... The Commissioner of Codebreaking….  The Foreman of Frequency Analysis….  Pete's decoding skills!  Only one will leave the ring victorious.  Who will it be?  Tune in and find out!  The match is about to begin...  DING DING DING!

Encrypted passage to decode


Leave us a voice message
Email us
Follow us on Twitter

Hip to be Square: Investigating Magic Squares15 Nov 202300:50:16

Ever heard of a magic square? How about 17 quintillion magic squares? In this episode, Pete and Noah explore these fascinating mathematical objects to find out more about them.  Join in the fun as we look at examples of centuries-old magic squares, and investigate the fascinating connections they share with some modern day puzzles.

 

Questions Answered in the Episode:
• What are mathematical magic squares, and how are they put together?
• What is the magic constant for a normal magic square of order n?
• What are some puzzles that are related to magic squares?

Linear Thinking: A Puzzle Involving a Linear System of Equations01 Nov 202300:36:18

In this episode, Pete and Noah tackle an "unsolvable math problem" that appeared in a recent Newsweek article (Spoiler: It's not that unsolvable). Join us as we apply linear algebra to this puzzle from start to Finnish.

 

Questions Answered in the Episode:
• Can you solve a linear system with fewer equations than variables?
• What is the geometric representation of a linear system with three unknowns?

MathGPT: Can AI Do Math?18 Oct 202300:42:12

In this episode, Pete and Noah explore the question, "Can AI do math?" Armed with several boxes of Chicken McNuggets, they put ChatGPT to the test, scrutinizing its mathematical prowess and giggling over how bad its attempts sometimes are. Join them as they investigate just how far the digital mind can go in mastering the realm of numbers.

Questions Answered in the Episode:
• How does AI process mathematical expressions and calculations?
• Can ChatGPT solve complex math problems like the Chicken McNugget Theorem?

A Tactical Advantage: An interview about Fact Tactics with Dr. Juli Dixon04 Oct 202300:38:30

A somewhat traumatic memory about fifth grade timed multiplication tests inspires Pete and Noah to have a conversation with Dr. Juli Dixon, author of a brand new program for teaching math facts fluency without all of the anxiety.  Join us for our most factacular episode to date!

Questions Answered in the Episode:
• How can teachers help students learn multiplication facts without making them anxious?
• What is the difference between math fact fluency and automaticity?

Math Club Junior: It's a Zoo Out There24 Sep 202500:27:43
In this long-awaited followup to our popular Math Club Junior episode, Pete and Noah are back with Mrs. Morrison's class, as chaperones on a field trip to the local zoo. Listen in as our group of Junior Zookeepers meet a whole new cast of zany characters, and once again learn that math is everywhere if you just look around. And just like last time, this story is full of interesting math challenges for listeners in the upper elementary grades to enjoy and solve.   • A slide deck with visuals to go along with each problem from the story  

 

Dome Sweet Dome: Exploring Geodesic Structures20 Sep 202300:35:14

What do you get if you cross 11,520 isosceles triangles with the happiest place on Earth? The Epcot ball, of course, which is perhaps the most famous geodesic structure in the world. Join Pete and Noah as they investigate these incredibly sturdy mathematical objects… and make sure to wear your clam diggers!

Questions Answered in the Episode:
• What are the mathematical principles and structural advantages of a geodesic dome?
• How do you calculate the number of triangles in a geodesic dome?

The Elevator and the Fencepost: Zero-Based Counting06 Sep 202300:30:13

Pete is back, and Noah is eager to hear about his trip and record a new episode about an interesting bit of European math.  Join us for some zero-based counting, inspired by an elevator that Pete rode on his first day in Spain.


Questions Answered in the Episode:
• What is the difference between zero-based counting and one-based counting?
• What is a fence post error (or off-by-one error) in mathematics?

A Math Workout: An Interview with the Mathnasium23 Aug 202300:29:36

We've spoken with previous guests about classroom math instruction, as well as how to help students with learning disabilities in mathematics.  But what about the enormous middle ground of students who need extra help, but don't qualify for special education services?  In this episode we're joined by Jonathan Bleecker, owner of a Mathnasium learning center, for an engaging conversation about how math tutors help to fill in those gaps.

Questions Answered in the Episode:
• How does the Mathnasium curriculum and instructional approach differ from a traditional school setting?
• What qualities should you look for in a good math tutor?

 

We Love the Subs: Using Substitution in Math09 Aug 202300:29:08

In this episode, the search for a temporary co-host to sub for Pete turns into a conversation about mathematical substitutions.  Join Noah and (the other) Pete as they talk about this powerful strategy, and why being manipulative can be a good thing when you're doing math.

Questions Answered in the Episode:
• How can you use substitution to solve a system of linear equations?
• Why are mathematical manipulations like substitution considered a critical skill for students?

Those Who Can, Teach: A Conversation about Mathematics Instruction26 Jul 202300:40:02

With Pete away on vacation, Noah invites a panel of educators over for a lively conversation about mathematics instruction.  Join us as the panel discusses their early days in the classroom, how math education has changed over the past few decades, and what changes they'd like to see in the future. 

Questions Answered in the Episode:
• How has math education changed over the past few decades?
• How has technology like digital assistants and online learning tools impacted math education?

I, Conic: What are Conic Sections?12 Jul 202300:40:22

An idea for a new ice cream treat leads Pete and Noah to discuss the different conic sections that can be created by intersecting a cone with a plane at various angles.  Grab a flashlight and get ready to shine a (cone-shaped) light on these interesting geometric creations with us.

Questions Answered in the Episode:
• What are conic sections and how are they formed?
• What is the difference between a parabola and a catenary curve?

Made to Order: PEMDAS and the Order of Operations28 Jun 202300:42:39

You've probably seen people arguing on social media about memes that say: "Only a true genius will get this one right", followed by a simple looking expression to evaluate.  In this episode, a mathematical miscalculation inspires a conversation about math conventions, order of operations, and being careful before placing a delivery order.  And the best news is, you don't have to be a true genius to enjoy this episode!

Questions Answered in the Episode:
• What is the order of operations in math?
• Is the order of operations a mathematical fact or a convention?

Cool Beans: An Experiment with Newton's Law of Cooling14 Jun 202300:41:53

After Pete spills a cup of hot coffee, he and Noah conduct an experiment to test Newton's Law of Cooling, a physical law that describes the rate at which warm objects cool down. Along the way, they discuss differential equations, exponential functions, and the proper way to sit after getting in a hot tub. This may be the hottest episode of the Math Club yet!

Questions Answered in the Episode:
• What is Newton's Law of Cooling and how does it predict temperature changes over time?
• How do you calculate the heat transfer coefficient for a cooling liquid using an exponential function?

Model Behavior: What is the Petrie Multiplier?31 May 202300:27:13

Have you ever engaged in some friendly smack-talk during a sporting event? In this episode, Pete and Noah are on the receiving end of a lot of teasing out on the softball field. After the game, they analyze this kind of interaction and use a clever thought experiment to shed light on an important issue of social equality.

Questions Answered in the Episode:
• What is the Petrie multiplier and how does it explain the disproportionate experience of discrimination in the workplace?
• How does the ratio of majority to minority populations mathematically affect the frequency of negative interactions received by individuals in the minority group?

 

Math Problems: An Interview with Anneke Schreuder about Dyscalculia17 May 202300:48:19

We all know people who describe themselves as "not a math person".  For many of them it's not simply a preference, but a neurological condition.  In this episode, Pete and Noah speak with Dr. Anneke Schreuder about dyscalculia, the lesser-known mathematical counterpart to dyslexia.  Join us for an eye-opening conversation as we learn what it is and how it can be identified and treated.

Questions Answered in the Episode:
What is dyscalculia and how does it affect the brain's ability to process math?
What are the early warning signs of dyscalculia in children?

 

Means of Transportation: The Mean Value Theorem and Average Speed Zones13 Aug 202500:34:25

A family visit to the Netherlands introduces Pete to the idea of average speed zones, which illustrate a particularly interesting mathematical theorem.  Join our hosts as they really go off on a tangent about the mean value theorem, and how it just might get you a speeding ticket.

Questions Answered in the Episode:
• What is an average speed zone and how does it work to catch speeding drivers?
• What is the Mean Value Theorem and how does it relate average rates of change to instantaneous rates of change?

One, Singular Sensation: The Role of 1 in Ring Theory03 May 202300:42:22

The Beach Boys are famous for "getting around", but do you know that the number one gets around a lot, too?  In this episode, one takes center stage as Pete and Noah take a central look at some of the places, both exotic and familiar, that one gets around to. This is "one" episode you don't want to miss!

 

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• What is the definition of a mathematical ring?
• How do mathematical rings relate to the number one?

Paradox City19 Apr 202300:31:59

Happy birthday… to us!  The Math Club is one year old today, and Pete and Noah are celebrating with a fun-filled discussion of the birthday paradox. Come join the celebration - you might be surprised where it takes you!

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• How many people are needed in a room for there to be a 50% chance of two sharing a birthday?
• How does the birthday paradox use probability to calculate shared birthdays?

Your Mileage May Vary: Miles per Gallon vs. Gallons per Mile05 Apr 202300:30:33

How much do you think you spent on gas when you took your last road trip?  If you live in the United States, chances are that would make you think about your car's miles per gallon.  But in other parts of the world, fuel effieciency is measured not in MPG, but in gallons per hundred miles.  In this epsiode, Pete and Noah examine this fraction-flipping phenomenon, and weigh in on which version they like better.  So hop in the car and get ready to go for a ride with the Math Club.

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• Why is gallons per 100 miles a more accurate metric for comparing fuel efficiency improvements than miles per gallon?
• How do you convert miles per gallon into gallons per 100 miles?

Divergent Thinking: Working with Divergent Series22 Mar 202300:49:53

If we gave you a bunch of positive whole numbers and asked what you get when you add them all up, you'd have a pretty easy time of it...  you are The Math Club, after all.  But what if we gave you an infinite series of positive whole numbers and asked you what you get when you add them all up?  In this episode, Pete and Noah talk about how mathematicians go about assigning a value in this seemingly impossible situation.  Join us and learn about divergent series, and be ready to be surprised by some of the results.

The Numberphile video

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• What is the difference between a convergent series and a divergent series?
• How can the sum of all positive integers be negative one-twelfth?

Proof of Concept: A Discussion about Mathematical Proofs08 Mar 202300:35:57

If you ever took a geometry class, you probably had to do some mathematical proofs.  From the ancient Greeks to modern day mathematicians, proofs have played a vital role in advancing our understanding of the world around us.  In this episode, Pete and Noah talk about their own experiences with proofs and look at several different kinds of proof along the way.  Hop aboard the math train, and join us in an exploration of the fascinating world of mathematical proofs. 

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• What are the different types of mathematical proofs?
• Why are geometric proofs often taught in a two column format?

The Unprofessional Math Development Club22 Feb 202300:41:30

This week Pete and Noah team up with Shane and Mealey from the Unprofessional Development podcast, a show that features guests from the world of education sharing their stories about teaching.  This joint episode finds the four hosts discussing teaching, math, teaching math, and spicy foods.  

Unprofessional Development Podcast
Follow @unprocast on Twitter

Leave us a voice message
Email us
Follow us on Twitter

Math Like an Egyptian: Exploring Egyptian Fractions08 Feb 202300:29:26

When you think about parts of a whole, you probably picture fractions that consist of a numerator and a denominator.  But that's not how all cultures throughout history worked with fractional parts.  In this episode, Pete and Noah visit ancient Egypt and discuss the completely different way their mathematicians showed parts of a whole.  Plus, there's a puzzle about camels!

Rhind Mathematical Papyrus

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• What is an Egyptian fraction and how were they written in ancient Egypt?
• How did the ancient Egyptians use unit fractions to solve practical problems?

 

Game Changer: Our History with the Monty Hall Problem25 Jan 202300:28:16

In September of 1990, Parade Magazine columnist Marilyn vos Savant answered a reader's question about a mathematical brain teaser, and received quite the backlash when most of the math community thought her solution was incorrect.  Just about three years later, two new friends (and future Math Club hosts) bonded over math for the first time, discussing and debating this exact same puzzle.  In this episode, Pete and Noah weave the two stories together into an interesting discussion about conditional probability, counterintuitive results, and being gracious when confronted with, what you believe is, someone else's error.

Questions Answered in the Episode:
• What is the Monty Hall problem?
• Why is it better to switch doors in the Monty Hall Problem?
• How does conditional probability explain the Monty Hall problem?

Math Club Junior: An Interactive Math Story for Elementary Students11 Jan 202300:27:16

This episode is a special math adventure for younger listeners.  Pete and Noah are called into school to help with all of the mathy details around a class pizza party, and quickly discover that math is all around us all of the time.  Chock full of interesting characters and math challenges for listeners to solve, this story is sure to delight listeners from third grade on up.  

Interactive website that goes with the story: https://bit.ly/mathclubjunior

Leave us a voice message
Email us
Follow us on Twitter

You Say You Want a Revolution: What is Gabriel's Horn14 Dec 202200:35:36

In this episode, Noah comes to Pete for some help with a really big paint job.  After Pete explains just how big (and impossible) the job really is, they have a conversation about surfaces of revolution, and the seeming paradox of Gabriel's Horn.  

Email us
Follow us on Twitter

Questions Answered in the Episode:
• What is Gabriel's Horn?
• How can a shape have infinite surface area but finite volume?
• What is a surface of revolution?

 

Q.E.D.: The Proving of Fermat's Last Theorem26 Jun 202500:50:30

It's finally here!  Part Three of the Fermat Trilogy!  In this exciting conclusion, Pete and Noah talk about the mathematicians who ultimately proved (or thought they'd proven) Fermat's Last Theorem.  Join us for the final chapter of this riveting 350 year journey!

Questions Answered in the Episode:
• Who proved Fermat's Last Theorem?
• How does the Taniyama-Shimura conjecture relate to the proof of Fermat's Last Theorem?

So Many Birds: Counting The Twelve Days of Christmas with Karl Gauss30 Nov 202200:19:21

Season's Greetings, Math Club!  With the holidays on the horizon, a famous song leads Pete and Noah to talk about strategies for adding up long sequences of numbers.  Come join the fun, and learn how a young Carl Gauss may (or may not) have done it.  And if you're up for a challenge, we even "sum it up" with a special holiday puzzle for you to try.

Brian Hayes's article in American Scientist

Submit your puzzle solution here - Google Form

Submit your puzzle solution here - Twitter

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• What was the method Carl Friedrich Gauss used to quickly sum the numbers one through 100?
• What is the general formula used to find the sum of an arithmetic series for the first n integers?

Imagining Numbers: The Quaternions and Other Number Systems16 Nov 202200:29:59

In our last episode, Pete explained to Noah that imaginary numbers aren't so imaginary after all. This time around, he shows Noah how all the other numbers kinda are. So, if you thought there was something less than real about the square root of negative one, wait 'til you hear about the square root of positive two! Buckle up, Math Club, it's time to let our imagination run wild!!

3Blue1Brown's video on visualizing quaternions

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• What is the mathematical definition of an irrational number?
• How do quaternions expand upon the complex number system?

Math Complex: What are Imaginary Numbers?02 Nov 202200:25:04
Imaginary numbers. We've all heard about them, but… what are they? Why are they imaginary? And what can we do with them? In this episode, Pete and Noah take on these questions and explore a bit of the history and practical applications of these unusual and complex numbers.   • Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• Who coined the term imaginary numbers and why?
• What is the geometric interpretation of a complex number?

Getting Into Shape: Topological Deformations19 Oct 202200:42:00

In this episode, Noah's having trouble with an old game from his childhood until Pete saves the day by tackling the twisty turns of topology. From donuts to coffee cups, and spheres to tori (or, as Noah calls them: toruses), come explore the interesting world of continuous deformations.  It's time to get into shape!

Leave us a voice message
Email us
Follow us on Twitter

Questions Answered in the Episode:
• What is the difference between topology and geometry?
• How do you calculate the Euler characteristic of a shape?

© My Podcast Data