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Jim Coykendall
Приєднався 6 лис 2007
I post videos of (mostly) mathematical interest (to me at least). There are class videos from courses I have taught as well as mathematical talks (from general interest to more technical). Not all of the talks were given by me; in particular, I post (if speaker permission is given and the infrastructure is available) talks from the Math Club at Clemson University.
Math 3190, 1/22/2025
The Euclidean algorithm, and some applications/consequences. Properties of the integers, the equivalence of the concept of irreducibility and prime for nonzero integers. Mention of the Fundamental Theorem of Arithmetic.
Переглядів: 6
Відео
Math 8520, 1/17/2025
Переглядів 810 годин тому
The Snake Lemma, equivalent conditions for a short exact sequence to split, free modules, and the universal mapping property of free modules.
Math 3190, 1/17/2025
Переглядів 3414 годин тому
Lots of demonstrations of proofs. We prove that a function that is differentiable at a point is continuous at that point. We define the concept "divides" and define the notion of "prime" and "irreducible." We prove that 0 is prime and not irreducible. We prove that the notion of "divides" is transitive, and that if a divides b and a divides c then a divides b c. We conclude with a discussion of...
Math 8520, 1/17/2025
Переглядів 5714 годин тому
More on exact sequences with a number of theorems and some diagram chases. We look at the Five Lemma, the Short Five Lemma, and the 3 x 3 Lemma.
Cubic Equations, Their Solutions, and Some Interesting Consequences-Math Club1/17/25, Jim Coykendall
Переглядів 14314 годин тому
In this talk, the (a) cubic equation is derived and then the solution is used to conjure up some interesting identities. Here is the original abstract: "Back in the day" we all learned the fabled quadratic formula. This famous (and scary for many of our friends back then) formula allows us to find the roots of polynomials of the form Ax^2 Bx C and is usually derived by "completing the square" (...
Math 3190, 1/15/2025
Переглядів 1819 годин тому
Practice with some of the formal notation, existential and universal quantifiers, equivalence of quantified statements in different universes (with examples), basic tautologies. We conclude with the ever important statement that any nonempty subset of the natural numbers has a least element.
Math 8520, 1/15/2025
Переглядів 2119 годин тому
Proof of universal properties of direct product and its uniqueness up to isomorphism, characterization of when a module is a direct sum of a family of submodules, chain complexes, and (short) exact sequences.
Math 3190, 1/13/2025
Переглядів 91День тому
Some examples of equivalent propositional forms with some proofs (involving truth tables as well as one using consequences of our other results). Open sentences, solutions (within specified universes, with some important examples). The quantifiers "there exists" and "for all".
Math 8520, 1/13/2025
Переглядів 14День тому
Quotient modules and the correspondence theorem, homomorphism theorems. Direct products, direct sums, and their universal mapping properties.
Math 3190, 1/10/2025
Переглядів 16День тому
We discuss equivalent propositional forms, (bi)conditional statements, the converse, contrapositive, and the opposite of a conditional statement. Equivalence of a conditional statement and its contrapositive and modus ponens. The definition of an "if and only if " statement.
Math 8520, 1/10/2025
Переглядів 21День тому
More on modules, homomorphisms, and submodules. Intersections of modules and modules generated by a set (and a strange example of a vector space with an uncountable basis to demonstrate the importance of the axiom of choice/Zorn's lemma). The definition of an algebra
Math 3190, 1/8/2025
Переглядів 2114 днів тому
First day of class in "proofs course". Today we do some basic logic, propositions, connectives, propositional forms, and truth tables.
Math 8520, 1/8/2025
Переглядів 3614 днів тому
First day of class. Introduction to modules and R-module homomorphisms. Lots of examples.
Math 9500, 12/6/2024
Переглядів 34Місяць тому
Last day of class for the semester. We cover the Krull Intersection Theorem, Nakayama's Lemma, and some consequences. We finish with some remarks on zero divisors (especially in the Noetherian case) and an interesting theorem about containment in a union of primes.
Math Club 12/6/2024, Dr. Ethan Doherty and Marc Sussman speaking.
Переглядів 24Місяць тому
These are actually two shorter talks. The first is an interesting look at stochastic modeling of the invasion of the Asian Longhorned Beetle, and the second involves a student's experience with cybersecurity obtained in an internship. The original abstracts are both recorded below. Stochastic Modeling of the Asian Longhorned Beetle Invasion Ethan Doherty School of Mathematical and Statistical S...
Math 9500, 10/25/2024, Jared Kettinger speaking
Переглядів 70Місяць тому
Math 9500, 10/25/2024, Jared Kettinger speaking
Scoring Big with Analytics, Math Club 11/22/2024, Riley Van Etten speaking.
Переглядів 452 місяці тому
Scoring Big with Analytics, Math Club 11/22/2024, Riley Van Etten speaking.
Two geometric riddles, Math Club 11/15/2024, Ben Gobler speaking.
Переглядів 772 місяці тому
Two geometric riddles, Math Club 11/15/2024, Ben Gobler speaking.
Hyperbolic Space and Manifolds, Math Club 11/8/2024, Adam Price Speaking
Переглядів 292 місяці тому
Hyperbolic Space and Manifolds, Math Club 11/8/2024, Adam Price Speaking
Hiii
Difficult to see the blackboard...
you're really good at math 👍👍
What problem that never been solved Sir?
Is this a question about the content of this video? If so, please direct me to the time, and I will try to answer.
Should've recorded from a little closer
Agreed, the problem is that no one controls the camera and so I try to get a complete shot of the board. I think I try to maximize and never notice that the critical number is giving me a minimum...
Cool
ok
very great explanation, thank you so much mr
Solid student(s) catching things as you go.
Nice 👍🏾
I want to subscribe and like ok😊
Thank you for posting it. Maybe if you use a mic and have a better camera angel ,it would be amazing
you so bad😒😴
'PromoSM' 🍀
Thank you for this.
It was a wonderful talk for a wonderful guy! And within a couple of days, became my most viewed video!
I like the teachers hand writing.
best teacher ever... thank you sir
Thanks!
Interesting
Calculus is definitely some cool stuff.
sir all of your lectures are wonderful but you need to zoom in the blackboard ... its very hard to see the writing on the blackboard
Yeah, one day I will be better at this. The room is not set up well for this and so I will try to remember to write a bit bigger.
Sound quality is not so good
Thanks, I will try to remember to check on that.
😎... cool.
Thank you!
very nice presentation..
Thank you!
This was really interesting, guys! Good to see this community still alive!