Composition of Functions (Set Theory)
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- čas přidán 2. 11. 2022
- In this video, we introduce the notion of composition of functions and consider some examples. We prove that composition is associative and the composite of functions with properties often inherits those properties, such as injective and surjective functions.
This is lecture 32 of the lecture series offered by Dr. Andrew Misseldine for the course Math 3120 - Transition to Advanced Mathematics at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: drive.google.com/file/d/1Vzum...
This lecture is based upon Section 12.4 of Book of Proof (www.people.vcu.edu/~rhammack/...) by Richard Hammack, from the corresponding sections of A Transition to Advanced Mathematics (math.byu.edu/~doud/Transition/) by Darrin Doud and Pace P. Nielsen, and from Dr. Misseldine's own notes. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.
I can honestly say wish I had you as my professor for this class, or at least stumbled across your videos sooner
Thanks. Given the date, I'll assume you are close to finals then. Best of luck!
@@Misseldine lol that can be an AI reply for you to use in future as .its always the case lol nice vid btw ty
@@sahilrawat7966I suppose the advantage of always sounding like you're an AI is that no one can tell when you are actually using it or not, kinda like Christian Bale from The Prestige. Thanks for the comment.
im sure its not my prof's fault, but my brain struggles to be sharp and quick like the others so when she just speeds through a lecture I'm always lost on concepts that aren't even all that difficult. thank goodness for this video!
Honestly, I often lecture too fast for my own students, but the advantage of the video is pause, rewind, slow down. It can make challenging math concepts more digestible.
@@Misseldine exactly! Thanks again