Sorry for the clickbait title ya'll - I'm a TH-camr now what did you expect?!? But for real, I'm going on study leave for 15 months so I can focus on YouTUbe and I'm SO excited. Thanks for all your suggestions for content in the comments, keep them coming!
I've two requests 1) Please make a video on Group Theory from basic to advance(as there ain't any such video as i know) 2) I was wondering to make TH-cam Maths content too , so can you make a guide video like how you edit videos and things like that I'd be glad if you'll do these
Well I am going to say it. I think you should rise above the level of click bait. “15 months sabbatical to focus on TH-cam” would have been as catchy, generate interest and be informative by conveying the key message of the video.
Thou shalt not krill. Nature intends krill for sea creatures, not for consumption by yum-yum Costco octogenarians (these are not to be confused with Neah Bye cephalopods). It would be interesting to see a development of differential equations for predicting a shrinking of the krill biomass. To focus on variables like the removal of krill from the biomass by human fishing and the increasing demand by human markets for krill products by various countries. Taking into account a natural expanding and shrinking of this biomass by seasonality (Temperature). And to statistically predict the decline towards extinction of various and important legitimate krill predators such as baleen whales, penguins. Parameterized for the Antarctic Ocean.
@@DrTrefor Please upload the playlists of many other branches of math's used in Physics and Engineering like PDE, Laplace transformation, Functional Analysis and Tensor Calculus courses. You are a blessing to someone in a 3rd world country studying Physics or engineering because we do not have competent teachers here. Thanks for helping us in our tough times!!! :DDDD
As a russian undergraduate student, I just to say THANK YOU! Soviet textbooks are obscure and expect you to be math genius, while your videos are simple and explain everything step-by-step.
@@iamavolk , that's not constructive. The poster is obviously trying to overcome their shortcomings by seeking alternative learning strategies. Not everybody learns well from a written text. It is not a deficiency to admit that a particular style of learning resource is ineffective for you as an individual. Every body of students consists of diverse learners.
This channel was one of the reasons that a highschooler like me Living in a third world country could study a lot of subjects in a rigorous manner from discrete math and logic to vector calculus and differential equations What you're doing has weight. It's effecting people's lives 👏
Before going to UVic, i didn't even know you would be teaching there. When I was in high school, you were just some legend that taught me linear algebra over the internet. I couldn't believe it when my friends told me that you were their professor for the year! Love your videos
I am an L.A for Calc I and II. I always recommend you to the students. I found your playlist on ODEs the absolute best. I transferred from Physics undergrad to Mechanical Engineering and now that I am approaching the end, I tend to want something more math related. Anyway...you are a gem. TH-cam is excellent to nudge a student in the right direction. But always and always read your books and do all the exercises at the end of each chapter. Understanding with no work tends to fizzle out in a few days. Thank you for your hard work and success in your journey.
Started watching you in my first year of engineering, you really saved me in calculus! These days I tune in for funsies, can't wait to see the places this channel goes :] and congrats!!
i cant stress enough how valuable you are to 3rd world countries students like me, we either have to wait until highschool is over and apply to the top universities in order to get the quality teaching, or continuously having to search for the right resources online. As a highschooler, i really enjoy your contents and would love to see more on number theory, statistics, combinatorics, probability, real and complex analysis, algebraic geometry, discrete maths, geometric algebra, topology, all branches of geometry (differential, analytic, euclidean and non euclidean, etc), and the applications of math within other branches of science (computer science, cryptography, finance, chemistry, physics, biology). ONCE A AGAIN THANK YOU SO MUCH FOR YOUR DEDICATION, dont be afraid to call for donations through platforms like Patreon, etc (maybe a platform to post exclusive and in-depth contents i guess), anyway wish you all the best!
subjects id like to see: (advanced) probability theory, complex analysis, real analysis, combinatorics, numerical analysis, multivariate statistics, intro to stochastic process also: also nice stokes shirt!!
@@DrTrefor please do!! I'm going into 3rd year in September so your insight into any of these topics would be great, I look forward to watching whatever you produce :)
Hey Trefor! As an undergraduate currently going through some very intense exams, your course playlists (particularly vector calculus) have been absolutely crucial in my studies. Thank you! Whilst there are plenty of TH-cam channels on the "random interesting stuff", I feel there is a distinct lack of quality online courses. My only options are either recordings of university lectures (like MIT OCW) or search TH-cam and hope someone has made a video on that individual topic. No one else makes the concise 3b1b style videos tha follow the content of an undergraduate course. It's the best of both worlds and you are incredible at it. Edit: some courses I would love to see would be stochastic processes, metric spaces, algorithmic graph theory, advanced combinatorics, and measure theory. Thank you once again, and I look forward to seeing what you come up with!
@@DrTrefor measure theory would be perfect! I'm a first-year PhD student in Statistics who will need this information in a year or two. As well as any other advanced mathematical concepts as they relate to research in statistics😅
Congrats on the study leave! I really resonate with what you said about the importance of TH-cam for attracting math students; personally I probably wouldn’t have started my math degree if it wasn’t for all of the incredible creators like 3B1B, numberphile, mathologer and yourself. Looking forward to the new vids! :)
Love to hear that you are focusing on yt!! I'm 13 years old and i started to watch your calculus videos last year, with your helpful videos and cool series, I was motivated to keep learning. Now im nearly finishing calc 4, Thx! With the clear explanation and your passion to teach, it surely helps me to try difficult topics. Once again, Thank you❤
Thanks to your vector calculus playlist I managed to pass my vector calculus class when the course material was very confusing to me. Not only do you teach in a very clear, concise and enthusiastic manner, but you also beautifully explained how all the theory ultimately comes together which made me realize just how awesome mathematics can be. Cheers from this technical medicine student from the Netherlands!
It's fine. I really enjoyed (and still enjoy) the Latex videos. They are very helpful. I hope you make more videos with more specific packages and recommendations. It would be very helpfull for those who want to learn Latex and those who need to use it (for assignments, papers, thesis, etc.). I wish you good luck and success.
Congratulations. As a fellow math professor, I understand the dynamic of teaching vs outreach/scholarship. I am very happy that your university is supporting your further youtube endeavors. As I also teach DE online, I am eager to see your online text for the course. You indicated it was in your links in the description, but I don't see it there. Can you help? As for content, I like the quirky math discussions, topics that would either be outside a typical math class or a in depth discussion of a tangential topic from a course.
That would be great if you make some playlists on some topics on pure mathematics like 1-differential geometry 2-tensor 3-topology 4-complex algebra 5- differential equation or other stuff which are more important for the grade student of mathematics department.
I just started university and I've been struggling a lot with keeping up with my classmates. I went into a course as a relatively enthusiastic/ casually curious math student who came right out of high school, only to realize that everyone around me seems to know so much more than me. The expectation seems that because it's a course oriented towards the mathematically curious minds, they assume we knew more than the average person despite the pre-requisite being high school calculus (which, to be fair, a lot of people do! Just not me I fear). I'm surrounded by people who seem to know so much more than me and as much as I've found it inspiring, I also can't help the underlying fear/ judgement I feel in the classroom/ lecture hall. I know people always say we should ask as many questions as possible to best further our understanding, but I can't help but feel the unspoken judgement whenever I ask a question about something that seems to be a given for everyone else in the room. Your videos have really helped me work through things on my own time. I definitely need to work on overcoming the shame I experience in the classroom, but for now your videos have been keeping me going. Thanks for the work you do. Cheers! :-)
I would love to see standard course-style coverage of more DiffEq (ODEs and PDEs)! Also (as others here have noted), your vector calculus content has been revolutionary :)
would love stochastic methods and/or an 'intermediate' probability theory. essentially taking off from where your discrete math course leaves off on probability theory
An "Intro to Proofs" playlist I would be also very cool. Also, seeing collaborations between you and the other math educators would be pretty cool (3Blue1Brown, BlackPenRedPen, Steve Brunton, etc)
5 หลายเดือนก่อน +3
Putting up content related to matrix calculus would greatly help people who are being introduced to machine learning and optimal filtering or want to know more about calculus. Having a complete list based on material such as chapter 2 of the "Matrix Cookbook" with the style that this channel has would be of great benefit to many students.
I think the best video you could make would be one where you show your process for learning new content. For example maybe you read a chapter of a math textbook with new content you’ve never learned before and vocalize your thought process and what you think about while learning it and trying to make connections. It would be great if you could share your strategies like chunking or thinking of analogies etc. Sharing this process is kind of along the idea of “give a man a fish and he eats for a day, teach a man how to fish and he eats for life”. It would be very valuable, thanks!
Love to see you getting more active on TH-cam! I would appreciate it if you could make videos on tough topics like topology, abstract algebra, functional analysis, and the theory of ODEs and PDEs, as there are fewer resources on these subjects. Additionally, covering some other interesting topics that excite us would be great.
I really appreciated your multivar, vector, and diff eq playlists. They were genuinely my number one tools while taking those classes. I would really be grateful for playlists on the more advanced math classes as I take them!
You mention 3blue1brown and Numberphile as your legends in the math space, but I already consider you to be in that tier for undergrad math instruction. I look forward to seeing your channel evolve! Hope to see some measure and representation theory on the channel.
Hey Dr. Bazett, I wish you the best of luck with your study break and TH-cam channel! I had the privilege of learning about you through actually taking your Calc III course at UVic, and today your content is my primary reference for refreshing and re-learning. Hopefully I bump into you again on campus!!!
Congratulations! Do you have any interest in making some videos in higher mathematics? It would be great to see you make a video covering your PhD thesis or something along those lines! Even a brief intro to algebraic topology would be sweet!
Love your videos and they helped when I went back to school for computer science in my courses. I would love to see you take a stab at a "Cool Math Stories" line of video's that are good for all ages and tell cool math origin stories like the connection between astrology and radians, etc. My daughter who is young loves those kinds of stories and even if she doesn't understand the math behind it, she gets a few buzz words she is excited to learn and loves them. I think you got the personality to nail that and it would go a long way to creating the next generation of kids that are exited about math instead of seeing it as a grind.
Congraduations on earning the PIMS education prize Trefor!!! I'm really happy for you! You definitely deserve it; thank you for getting me through calc with all your patients and explenations. If I had failed, it would have set me back a year... again... and that probably would have been it for me. I look forward to seeing more of your content!
Congratulations on your teaching award, Dr Bazett! And, all the best for your study leave. I have been using your excellent videos for supplementing my teaching. Thank you for the awesome videos!
As a teacher, I have learned so much from your videos on how to present content to my own students. I have watched your Multivariable Calculus, Vector Calculus, and Differential Equations videos multiple times. Thank you for your generosity in sharing these videos.
Congratulations! This is very good news. I was just wondering where you got lost. In my opinion, the course videos are more valuable because you can slowly build a deeper understanding of very complex and profound concepts for mechanisms that cannot be fully understood in one video - no matter how interesting the topic is. You have to look for something that can be understood with a relatively limited range of knowledge. But whatever you do I'm sure it will turn out great. Your explanations are some of the best one can find on the internet.
You really helped me a lot. This isn't some honey-smearing comment. I want to thank you. Your videos on Calculus helped me to get into Machine Learning and Quantum Mechanics. I struggled a lot with MvC. The moment it clicked for me was when I watched your Videos on Gradient. Since then my Math-knowledge skyrocketed. I bumped my head against an invisible wall before that moment, it was completely unclear for me how these concepts came into place. So, wholeheartly, thank you for your awesome contribution to that. I'm currently working on quantum machine learning.
One of my favorite videos of yours was the minimal surfaces with bubbles! I think that maybe fits into the more broad scope of videos, so I’m excited to see more of it! Edit: Also your clear explanations of specific topics in courses are genuinely second to none on TH-cam, at least for me anyway, haha
I hope this isn't too late! I would really love more videos on learning how to learn mathematics, specifically proof-based mathematics. The video of yours that I've replayed a dozen times is your math mind map video. I've gotten into mind maps and non-linear notetaking, but a lot of the resources are from a medical student and law student perspective and I'd love to see more of the pure math take where leaning on pictures instead of words is expanded on. Another piece of advice for learning is relating ideas to your real life, and I find that funny when trying to apply that to math because it seems like mathematicians created math because it was simple and beautiful and not like real life at all. The abstraction and disconnect from real life is what's supposed to be the enjoyable part but I think that makes it hard to grasp and learn when you get to higher levels. I've also heard from professors that it is good to have intuition sometimes but you don't want to be fooled by your intuition. When I'm learning something I want to imagine in my mind's eye what's happening, when I get to n-dimensional processes, what do I do when I can't trust what I imagine anymore?
Just wanted to thank you for putting together these videos. I missed you at UVic when I was an engineering undergrad there (graduated in 2021), but I really appreciate all of this work. If I could provide a suggestion for content I'd like to see, I'd love some videos that get into more advanced dynamics and topology. Would love a look at things like symbolic dynamics, ergodicity, and 3-manifolds.
Glad to hear you're not completely leaving university teaching. I graduated from UVIC this summer and your math modeling course is in competition for the most thoughtfully curated course I experienced over the last four years.
Complex Analysis would be really appreciated Sir . You've got a great way of explaining. Your teaching approach is superior: you unpack every topic so thoroughly, significantly increasing understanding. Highly Appreciated !
I just discovered your channel. First of all you are a great teacher. Please keep up the great work. I would love to see videos on how to learn about modeling real world phenomenon using mathematics.
Thank you for your hardwork, your videos have actually helped me pass in certain subject in which I used to struggle. Will be waiting for more new material. 🎉🎉
Good luck, Dr. Bazett! As you said, some of your videos have really helped me in pursuing my degree (Electrical Engineering). I'm very thankful for your contributions!
This is a great next move! Thank you Dr. Trefor, I never knew you were a professor at UVic, so close to where I study (UBC)! Thanks for saving me in calculus 1, 2 and linear algebra!
Just dropping in to say you were one of my favourite professors at UVic! It was one of the only classes I never skipped because I felt like I learned so much in class, so thank you for being an excellent and dedicated teacher! I also watched your youtube videos after class to help me if I didn't understand a concept haha. Your teaching at UVic will be missed but I'm so excited for you to take time off to do more youtube! Your channel is such a fantastic resource. Looking forward to your new videos!!
I’m glad to hear this. Your LaTeX videos got me off to a great start doing that. Then I discovered your math videos. As an applied biostatistician, I’d love some *understandable* content on mathematical statistics-definitely NOT in the “rigorous” Casella & Berger mold. Over the decades of studying mathematics in two STEM degrees, I’ve learned that “rigorous” is code for, We’re not gonna bother to explain this so you can actually understand it. Anyway, I’m looking forward to whatever you do. You have a gift for teaching through your videos. Your enthusiasm is catching.
You’re an amazing teacher and you’ve gotten through so many times, I got accepted into John’s Hopkins university recently and a lot of my success I credit with your videos fueling my love of math and problem solving. Thank you so much :)
I would really like to see PDE and complex analysis! I kinda want to learn them, but they are super hard and you were my best teacher for ODE so it would be amazing for me if you will do PDE or complex analysis as well!
Actually PDEs is right near the top of my list. I have a differential equations playlist but it stops too early and I can see in the analytics tonnes of people are watching that so definitely want to continue it into PDEs and more advanced ODEs
I'd love to learn more about the questions that remain in mathematics- that is, as someone interested in going to grad school and doing research in the field, where are the boundaries of our knowledge? What are the topics or ideas that we "know we don't know", so to speak. I love a fully developed and pow 11:02 erful theory or field, but what excites me most is the work that is YET to be done, and that for me right now is just one big question mark. Math is not static, it is not finished, it is still developing, and I think that is an important point that most students don't often realize. Best of luck out there, very excited for you!
Congrats on the new adventure Trefor! I had you for Calc 4 a few years ago. You're definitely one of the best profs I had at UVic. I'm sure you will be greatly missed. Good luck on your journey!
This is, sincerely, wonderful news. I attended a high school (in Australia) for gifted students, but always believed a didn't have "a math brain". I was then 'forced' to study maths at university as part of my course, but could never follow the teaching style at university. Out of desperation - and having developed a deep loathing of mathematics (actual anxiety attacks over my coursework) - I turned to TH-cam. I still can't learn from my own lecturers, but you, Professor Leonard and The Maths Sorcerer have carried me all the way through Calculus IV. I now have one applied maths unit to go and, thanks to your great example, have decided to become a high school maths teacher myself. You have so beautifully modelled effective maths education and I want to be another person who unlocks the unfathomable for future students. To be more specific, I appreciate the way you scaffold learning: linking to past learning, modelling, demonstrating, providing visuals, etc. You don't just reel off theorem and expect the student to unpack all of that for their self. In addition, your channel is very well organised. It's not only very easy to find relevant videos, but I can select the playlist corresponding to a specific course and follow the logical sequence from beginning to end. This helps me to scaffold my own learning without needing to know how to sequence it for myself. Thank you. I just wanted to encourage you and let you know how very well you're achieving your goals in this space.
Hello Doc. It would be an understatement to say that you’ve basically changed my life. I have went through basically all your calc playlists and especially the vector calc one was phenomenal. I’ve recommended them to almost every student I come across nowadays. Your channel has shaped my love for mathematics and even career decisions, I currently tutor some other engineering students and am planning to move into more pure mathematics bit by bit. I currently self-study abstract algebra 😃. I’m going to try and reach out to you soon on Patreon, hopefully you are free to respond then. Thank you for all you’ve done.
Now that. Is awesome news! I too think TH-cam holds incredible power for math education content, and your channel is one of a few gems out there that's particularly good at keeping even some of the scariest seeming branches of uni math accessible. Pleasure to have you back on the site full-time for a while, absolutely cannot wait to see what you put out! (plus, it'll no doubt help out with my ongoing math degree - if my exams this year are anything to go by, I'm gonna need it...) P.S. I'm curious as to the shirt? Is that some form of Stokes' theorem? A generalized fundamental theorem of calculus maybe? Idk.
Something I don't see much, but which probably wont get clicks in any direction, is an accessible pitch for something (ideally cute/accessible) from your research. Picking a paper you've written and giving the maximally approachable version of some example, target audience an undergrad who wanted to read it for a reading course or problem.
Actually it's a very good new for us dear professor. Being able to see more content in your channel. Can't wait for PDE series and more applied math videos ) Again thank you dear prof for all your efforts ❤️
Great that you are staying here: You gotta be true to your youtube school. I would very much enjoy watching you do a series on Complex Analysis/ function theory.
I Respect you, I learnt descrete math from you and aced my subjects and actually started loving discrete maths and linear algebra :D thank you for those videos ! hope to learn more ! :D
I am a history student from Syria and I have nothing to do with mathematics, but I feel that I have developed a kind of love and hobby for mathematics thanks to your videos. I am very excited about the future and I wish you a very impressive success, Professor.
Hi Dr. Trefor, So happy to know the news!! I am a EE student at NYCU Taiwan and have been successfully obtained A+ in most math relative major with your videos. Its without doubt that I can’t do it without your works!!! One type of the content I believe would have a great market need is more advanced subtopic in math major. For example, your linear algebra videos include linear transform, spaces, but lack of more complex topic such as SVD, PCA etc. These are u sually students get stuck, and would desperately want to have a intuitive understanding which you provided. It should not be like the typical math courses but like a overview to have a intuitive idea. Anyone, hope the best for you!!
I was lucky to take a couple of Calculus courses from you back when you were at UC. I've continued to watch your videos and they always are a big help. Good luck!
I think a good idea is to some kind of background survey, I'd love to see some especially non-trivial content but it only makes sense to suggest if there's a good enough for you fit with audience/you have a strong interest in said topic.
Congratulations for your success! Some different levels of math Applied to real world engineering, biology, Chemistry, programming problems with the thought process on how to solve the problems effectively and efficiently.
Good for you! I've really enjoyed your videos, and glad they've reached a wide audience. I started my own math YT channel last year and still trying to get it off the ground, so I know how hard it is to gain viewers. Looking forward to more videos!
I enjoyed your explanations of every topic, Honestly i would never have learned like this from my school. You taught to Enjoy math with intuition! Good luck man!
As a bachelors in math student, hoping to advance towards doctorate in theoretical math, I'd like to see real analysis, complex analysis, and measure theory, as well as abstract algebra from group to field theory then algebraic geometry, and to algebraic topology
Congrats! That's brilliant news! I have been a subscriber for many years now, I think you had < 10K subs when I found your channel. I've found your content interesting and engaging over the years. I'm starting an MS in stats in the fall and have been brushing up on my linear algebra. I'll be reviewing your content on that subject to supplement the Coursera course on the topic. Best of luck with your study leave. That sounds amazing!
Congrats! Have loved your calculus II content and super excited to learn calc 3 and differential equations in this fall semester and looking forward to watching your videos for help! Speaking of where is the open source differential equations textbook you mentioned? I couldn't find it in the description and would love to check it out! Thanks for the work you do :)
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Sorry for the clickbait title ya'll - I'm a TH-camr now what did you expect?!? But for real, I'm going on study leave for 15 months so I can focus on YouTUbe and I'm SO excited. Thanks for all your suggestions for content in the comments, keep them coming!
Enjoy the sabbatical!
I've two requests
1) Please make a video on Group Theory from basic to advance(as there ain't any such video as i know)
2) I was wondering to make TH-cam Maths content too , so can you make a guide video like how you edit videos and things like that
I'd be glad if you'll do these
Well I am going to say it. I think you should rise above the level of click bait. “15 months sabbatical to focus on TH-cam” would have been as catchy, generate interest and be informative by conveying the key message of the video.
Thou shalt not krill.
Nature intends krill for sea creatures,
not for consumption by yum-yum Costco octogenarians
(these are not to be confused with Neah Bye cephalopods).
It would be interesting to see a development of differential equations for predicting a shrinking of the krill biomass. To focus on variables like the removal of krill from the biomass by human fishing and the increasing demand by human markets for krill products by various countries. Taking into account a natural expanding and shrinking of this biomass by seasonality (Temperature). And to statistically predict the decline towards extinction of various and important legitimate krill predators such as baleen whales, penguins. Parameterized for the Antarctic Ocean.
I thought you're quitting youtube 😭
As a math hobbyist, I look forward to seeing what comes next. I would LOVE number theory content for the enthusiastic beginner!
I’ve done almost no number theory, that’s a good suggestion!
@@DrTrefor Please upload the playlists of many other branches of math's used in Physics and Engineering like PDE, Laplace transformation, Functional Analysis and Tensor Calculus courses. You are a blessing to someone in a 3rd world country studying Physics or engineering because we do not have competent teachers here.
Thanks for helping us in our tough times!!! :DDDD
Came for the LaTex, stayed for the math.
Same here.
Haha same i also first discovered his channel from the LaTeX videos
Same here, didn’t expect this guy to have made multivariable calculus series and what not
+1
+1
Your vector calculus playlist very useful me sir .
Glad to hear it!!
My wish list:
1. Complex variables
2. Control system
3. Information theory
4. Detection and estimation
5. Stochastic processes
6. Deeper graph theory
Add
Lie theory
Quantum physics
Makov chain
Diffusion model
@@korawichbikedashcam6293 he is a mathamatician not a physacist or computer scientist or anything else
Complex variables would be good.
As a russian undergraduate student, I just to say THANK YOU! Soviet textbooks are obscure and expect you to be math genius, while your videos are simple and explain everything step-by-step.
No they're not obscure. Maybe you're just a little stupid?
No they're not obscure. Try to consider your own shortcomings first and work on the discipline instead of complaining
@@iamavolk , that's not constructive. The poster is obviously trying to overcome their shortcomings by seeking alternative learning strategies. Not everybody learns well from a written text. It is not a deficiency to admit that a particular style of learning resource is ineffective for you as an individual. Every body of students consists of diverse learners.
I am voting for Lebesgue integral, measure theory (probably this one is too broad) and general topology
Topology is definitely on the table, measure theory I’ll have to think about. Maybe:D
This channel was one of the reasons that a highschooler like me
Living in a third world country could study a lot of subjects in a rigorous manner from discrete math and logic to vector calculus and differential equations
What you're doing has weight.
It's effecting people's lives 👏
That’s really great to hear!
Good for you! I just defended my thesis and I made it in latex thanks to you :) You're an inspiration for many 🤙
Congrats!!
Before going to UVic, i didn't even know you would be teaching there. When I was in high school, you were just some legend that taught me linear algebra over the internet. I couldn't believe it when my friends told me that you were their professor for the year! Love your videos
Ha, that’s pretty cool actually!
So did you meet the professor
@@ShanBojack yes but only once directly; I also sat in on a class.
I am an L.A for Calc I and II. I always recommend you to the students. I found your playlist on ODEs the absolute best. I transferred from Physics undergrad to Mechanical Engineering and now that I am approaching the end, I tend to want something more math related. Anyway...you are a gem. TH-cam is excellent to nudge a student in the right direction. But always and always read your books and do all the exercises at the end of each chapter. Understanding with no work tends to fizzle out in a few days. Thank you for your hard work and success in your journey.
Kudos to you! Thank you for the clear course list of links in your description. That organization is greatly appreciated!
Started watching you in my first year of engineering, you really saved me in calculus! These days I tune in for funsies, can't wait to see the places this channel goes :] and congrats!!
i cant stress enough how valuable you are to 3rd world countries students like me, we either have to wait until highschool is over and apply to the top universities in order to get the quality teaching, or continuously having to search for the right resources online. As a highschooler, i really enjoy your contents and would love to see more on number theory, statistics, combinatorics, probability, real and complex analysis, algebraic geometry, discrete maths, geometric algebra, topology, all branches of geometry (differential, analytic, euclidean and non euclidean, etc), and the applications of math within other branches of science (computer science, cryptography, finance, chemistry, physics, biology). ONCE A AGAIN THANK YOU SO MUCH FOR YOUR DEDICATION, dont be afraid to call for donations through platforms like Patreon, etc (maybe a platform to post exclusive and in-depth contents i guess), anyway wish you all the best!
subjects id like to see: (advanced) probability theory, complex analysis, real analysis, combinatorics, numerical analysis, multivariate statistics, intro to stochastic process
also: also nice stokes shirt!!
These are good suggestions. I’ve actually been thinking of stochastic processes, such as cool area not enough know wrll
@@DrTrefor please do!! I'm going into 3rd year in September so your insight into any of these topics would be great, I look forward to watching whatever you produce :)
Hey Trefor! As an undergraduate currently going through some very intense exams, your course playlists (particularly vector calculus) have been absolutely crucial in my studies. Thank you! Whilst there are plenty of TH-cam channels on the "random interesting stuff", I feel there is a distinct lack of quality online courses. My only options are either recordings of university lectures (like MIT OCW) or search TH-cam and hope someone has made a video on that individual topic. No one else makes the concise 3b1b style videos tha follow the content of an undergraduate course. It's the best of both worlds and you are incredible at it.
Edit: some courses I would love to see would be stochastic processes, metric spaces, algorithmic graph theory, advanced combinatorics, and measure theory.
Thank you once again, and I look forward to seeing what you come up with!
Hey thanks, that’s kind of exactly what I’m aiming for so good to hear it helps
@@DrTrefor I wanted to say 100% exactly what this comment says
@@DrTrefor measure theory would be perfect! I'm a first-year PhD student in Statistics who will need this information in a year or two. As well as any other advanced mathematical concepts as they relate to research in statistics😅
Congrats on the study leave! I really resonate with what you said about the importance of TH-cam for attracting math students; personally I probably wouldn’t have started my math degree if it wasn’t for all of the incredible creators like 3B1B, numberphile, mathologer and yourself. Looking forward to the new vids! :)
Field theory. The mathematical basis for advanced physics. Least action. Reimann geometry. General relativity.
I’m a 50 year old reinvigorated math student and dedicated a significant part of my later years to learning math. I will support
That's awesome! I love that there are 16 year old and 50 year olds both in the comment section, so cool
@@DrTrefor The request for the number theory content came from this 52 year old physician🤣
Here in South Korea, I love to see your math video all the time. Encourage your decision and can't really wait to see another next content :)
Love to hear that you are focusing on yt!! I'm 13 years old and i started to watch your calculus videos last year, with your helpful videos and cool series, I was motivated to keep learning. Now im nearly finishing calc 4, Thx! With the clear explanation and your passion to teach, it surely helps me to try difficult topics. Once again, Thank you❤
Thanks to your vector calculus playlist I managed to pass my vector calculus class when the course material was very confusing to me. Not only do you teach in a very clear, concise and enthusiastic manner, but you also beautifully explained how all the theory ultimately comes together which made me realize just how awesome mathematics can be. Cheers from this technical medicine student from the Netherlands!
It's fine. I really enjoyed (and still enjoy) the Latex videos. They are very helpful. I hope you make more videos with more specific packages and recommendations. It would be very helpfull for those who want to learn Latex and those who need to use it (for assignments, papers, thesis, etc.).
I wish you good luck and success.
Your Shirt is the cover of Harrold Edward's Advanced Calc a Differential Forms Approach!
very valuable for math students (and hobbyists): videos that show the research and writing process in gritty detail
Congratulations. As a fellow math professor, I understand the dynamic of teaching vs outreach/scholarship. I am very happy that your university is supporting your further youtube endeavors.
As I also teach DE online, I am eager to see your online text for the course. You indicated it was in your links in the description, but I don't see it there. Can you help?
As for content, I like the quirky math discussions, topics that would either be outside a typical math class or a in depth discussion of a tangential topic from a course.
That would be great if you make some playlists on some topics on pure mathematics like
1-differential geometry
2-tensor
3-topology
4-complex algebra
5- differential equation
or other stuff which are more important for the grade student of mathematics department.
You're an inspiration, sir, as a math communicator. I can't wait to see what you begin to post!
I just started university and I've been struggling a lot with keeping up with my classmates. I went into a course as a relatively enthusiastic/ casually curious math student who came right out of high school, only to realize that everyone around me seems to know so much more than me. The expectation seems that because it's a course oriented towards the mathematically curious minds, they assume we knew more than the average person despite the pre-requisite being high school calculus (which, to be fair, a lot of people do! Just not me I fear). I'm surrounded by people who seem to know so much more than me and as much as I've found it inspiring, I also can't help the underlying fear/ judgement I feel in the classroom/ lecture hall. I know people always say we should ask as many questions as possible to best further our understanding, but I can't help but feel the unspoken judgement whenever I ask a question about something that seems to be a given for everyone else in the room. Your videos have really helped me work through things on my own time. I definitely need to work on overcoming the shame I experience in the classroom, but for now your videos have been keeping me going. Thanks for the work you do. Cheers! :-)
Congrats. I welcome the future of virtual learning content. Let’s learn!
I would love to see standard course-style coverage of more DiffEq (ODEs and PDEs)! Also (as others here have noted), your vector calculus content has been revolutionary :)
That is definitely coming - probably the first major new course since my intro ODEs playlist is well received I want to do all the next things.
would love stochastic methods and/or an 'intermediate' probability theory. essentially taking off from where your discrete math course leaves off on probability theory
Hey, your videos really helped get me through my math degree. I'm graduating this week and I'm not sure where I'd be if it weren't for you. Thank you!
That’s so amazing, congrats!
An "Intro to Proofs" playlist I would be also very cool. Also, seeing collaborations between you and the other math educators would be pretty cool (3Blue1Brown, BlackPenRedPen, Steve Brunton, etc)
Putting up content related to matrix calculus would greatly help people who are being introduced to machine learning and optimal filtering or want to know more about calculus. Having a complete list based on material such as chapter 2 of the "Matrix Cookbook" with the style that this channel has would be of great benefit to many students.
That's a really good idea, thank you!
I think the best video you could make would be one where you show your process for learning new content. For example maybe you read a chapter of a math textbook with new content you’ve never learned before and vocalize your thought process and what you think about while learning it and trying to make connections. It would be great if you could share your strategies like chunking or thinking of analogies etc. Sharing this process is kind of along the idea of “give a man a fish and he eats for a day, teach a man how to fish and he eats for life”. It would be very valuable, thanks!
Best of luck Dr.Trefor! I really learn so much from your amazing videos!
Love to see you getting more active on TH-cam! I would appreciate it if you could make videos on tough topics like topology, abstract algebra, functional analysis, and the theory of ODEs and PDEs, as there are fewer resources on these subjects. Additionally, covering some other interesting topics that excite us would be great.
You have a great passion to explain, so I'm really looking forwards to understanding more math!
I really appreciated your multivar, vector, and diff eq playlists. They were genuinely my number one tools while taking those classes. I would really be grateful for playlists on the more advanced math classes as I take them!
Great to hear!
You mention 3blue1brown and Numberphile as your legends in the math space, but I already consider you to be in that tier for undergrad math instruction. I look forward to seeing your channel evolve! Hope to see some measure and representation theory on the channel.
Hey Dr. Bazett, I wish you the best of luck with your study break and TH-cam channel! I had the privilege of learning about you through actually taking your Calc III course at UVic, and today your content is my primary reference for refreshing and re-learning. Hopefully I bump into you again on campus!!!
Thanks for sharing!!
Thank you very much, Dr. Trefor. As a high school student, your videos have greatly boosted my calculus skills. I will support you with all my heart.
Thank you very much for your videos. Your linear algebra course helped me soooo much. Keep up the good work❤️
I would love number theory, topology, geodesic geometry and the math of cryptology
Love your videos and helped with university maths
Thanks a lot❤❤❤
Congratulations! Do you have any interest in making some videos in higher mathematics? It would be great to see you make a video covering your PhD thesis or something along those lines! Even a brief intro to algebraic topology would be sweet!
Love your videos and they helped when I went back to school for computer science in my courses. I would love to see you take a stab at a "Cool Math Stories" line of video's that are good for all ages and tell cool math origin stories like the connection between astrology and radians, etc. My daughter who is young loves those kinds of stories and even if she doesn't understand the math behind it, she gets a few buzz words she is excited to learn and loves them. I think you got the personality to nail that and it would go a long way to creating the next generation of kids that are exited about math instead of seeing it as a grind.
Congraduations on earning the PIMS education prize Trefor!!! I'm really happy for you! You definitely deserve it; thank you for getting me through calc with all your patients and explenations. If I had failed, it would have set me back a year... again... and that probably would have been it for me. I look forward to seeing more of your content!
Congratulations on your teaching award, Dr Bazett! And, all the best for your study leave. I have been using your excellent videos for supplementing my teaching. Thank you for the awesome videos!
Thank you so much, really appreciate it!
Awesome! Wishing you the best year+ on TH-cam!!
(By the way I don't think I've ever related more to a video. Also I am jealous.)
As a teacher, I have learned so much from your videos on how to present content to my own students. I have watched your Multivariable Calculus, Vector Calculus, and Differential Equations videos multiple times. Thank you for your generosity in sharing these videos.
Congratulations! This is very good news. I was just wondering where you got lost. In my opinion, the course videos are more valuable because you can slowly build a deeper understanding of very complex and profound concepts for mechanisms that cannot be fully understood in one video - no matter how interesting the topic is. You have to look for something that can be understood with a relatively limited range of knowledge. But whatever you do I'm sure it will turn out great. Your explanations are some of the best one can find on the internet.
Thanks that’s helpful!
You really helped me a lot. This isn't some honey-smearing comment. I want to thank you. Your videos on Calculus helped me to get into Machine Learning and Quantum Mechanics. I struggled a lot with MvC. The moment it clicked for me was when I watched your Videos on Gradient. Since then my Math-knowledge skyrocketed. I bumped my head against an invisible wall before that moment, it was completely unclear for me how these concepts came into place. So, wholeheartly, thank you for your awesome contribution to that. I'm currently working on quantum machine learning.
One of my favorite videos of yours was the minimal surfaces with bubbles! I think that maybe fits into the more broad scope of videos, so I’m excited to see more of it!
Edit: Also your clear explanations of specific topics in courses are genuinely second to none on TH-cam, at least for me anyway, haha
Personally, I would love to see a decently done series on differential geometry
I hope this isn't too late! I would really love more videos on learning how to learn mathematics, specifically proof-based mathematics. The video of yours that I've replayed a dozen times is your math mind map video. I've gotten into mind maps and non-linear notetaking, but a lot of the resources are from a medical student and law student perspective and I'd love to see more of the pure math take where leaning on pictures instead of words is expanded on. Another piece of advice for learning is relating ideas to your real life, and I find that funny when trying to apply that to math because it seems like mathematicians created math because it was simple and beautiful and not like real life at all. The abstraction and disconnect from real life is what's supposed to be the enjoyable part but I think that makes it hard to grasp and learn when you get to higher levels. I've also heard from professors that it is good to have intuition sometimes but you don't want to be fooled by your intuition. When I'm learning something I want to imagine in my mind's eye what's happening, when I get to n-dimensional processes, what do I do when I can't trust what I imagine anymore?
That's a great suggestion - thank you!
Your works help a lot. Thank you so much for the videos. IMO academic videos are preferred prior to random math videos.
Just wanted to thank you for putting together these videos. I missed you at UVic when I was an engineering undergrad there (graduated in 2021), but I really appreciate all of this work. If I could provide a suggestion for content I'd like to see, I'd love some videos that get into more advanced dynamics and topology. Would love a look at things like symbolic dynamics, ergodicity, and 3-manifolds.
Glad to hear you're not completely leaving university teaching. I graduated from UVIC this summer and your math modeling course is in competition for the most thoughtfully curated course I experienced over the last four years.
Congrats Jeremy, that’s awesome to hear!
Complex Analysis would be really appreciated Sir .
You've got a great way of explaining. Your teaching approach is superior: you unpack every topic so thoroughly, significantly increasing understanding.
Highly Appreciated !
I just discovered your channel. First of all you are a great teacher. Please keep up the great work. I would love to see videos on how to learn about modeling real world phenomenon using mathematics.
Wow, looking forward for your TH-cam videos. You taught me Math 200 during the first pandemic semester, what a memory for me.
Woah cool, I think I’ve deleted that semester from my mind lol
Thank you for your hardwork, your videos have actually helped me pass in certain subject in which I used to struggle. Will be waiting for more new material. 🎉🎉
Good luck, Dr. Bazett! As you said, some of your videos have really helped me in pursuing my degree (Electrical Engineering). I'm very thankful for your contributions!
I loved your video on Ramsey theory! I‘m super happy to see you following your passions, keep it up :3
That was such a cool one, glad you enjoyed!
This is a great next move! Thank you Dr. Trefor, I never knew you were a professor at UVic, so close to where I study (UBC)! Thanks for saving me in calculus 1, 2 and linear algebra!
Oh fun, I've definitely heard a bunch of UBC students use the videos
Just dropping in to say you were one of my favourite professors at UVic! It was one of the only classes I never skipped because I felt like I learned so much in class, so thank you for being an excellent and dedicated teacher! I also watched your youtube videos after class to help me if I didn't understand a concept haha. Your teaching at UVic will be missed but I'm so excited for you to take time off to do more youtube! Your channel is such a fantastic resource. Looking forward to your new videos!!
I’m glad to hear this. Your LaTeX videos got me off to a great start doing that. Then I discovered your math videos.
As an applied biostatistician, I’d love some *understandable* content on mathematical statistics-definitely NOT in the “rigorous” Casella & Berger mold. Over the decades of studying mathematics in two STEM degrees, I’ve learned that “rigorous” is code for, We’re not gonna bother to explain this so you can actually understand it.
Anyway, I’m looking forward to whatever you do. You have a gift for teaching through your videos. Your enthusiasm is catching.
You’re an amazing teacher and you’ve gotten through so many times, I got accepted into John’s Hopkins university recently and a lot of my success I credit with your videos fueling my love of math and problem solving. Thank you so much :)
I would really like to see PDE and complex analysis! I kinda want to learn them, but they are super hard and you were my best teacher for ODE so it would be amazing for me if you will do PDE or complex analysis as well!
Actually PDEs is right near the top of my list. I have a differential equations playlist but it stops too early and I can see in the analytics tonnes of people are watching that so definitely want to continue it into PDEs and more advanced ODEs
@@DrTrefor yesss let's goo
I'd love to learn more about the questions that remain in mathematics- that is, as someone interested in going to grad school and doing research in the field, where are the boundaries of our knowledge? What are the topics or ideas that we "know we don't know", so to speak. I love a fully developed and pow 11:02 erful theory or field, but what excites me most is the work that is YET to be done, and that for me right now is just one big question mark. Math is not static, it is not finished, it is still developing, and I think that is an important point that most students don't often realize. Best of luck out there, very excited for you!
Thanks for sharing high quality math videos. I have share a couple of your playlist for my electromagnetics students...so... thanks!
Giving back for what you've given to us 😊
You are genuinely amazing - feeling a bit nervous about the jump so really appreciate it.
I wish you excellence and huge success in your new endeavor here.
Congrats on the new adventure Trefor! I had you for Calc 4 a few years ago. You're definitely one of the best profs I had at UVic. I'm sure you will be greatly missed. Good luck on your journey!
Thanks for all you help I am glad the channel will grown and evolve 🎉
This is, sincerely, wonderful news. I attended a high school (in Australia) for gifted students, but always believed a didn't have "a math brain". I was then 'forced' to study maths at university as part of my course, but could never follow the teaching style at university. Out of desperation - and having developed a deep loathing of mathematics (actual anxiety attacks over my coursework) - I turned to TH-cam. I still can't learn from my own lecturers, but you, Professor Leonard and The Maths Sorcerer have carried me all the way through Calculus IV. I now have one applied maths unit to go and, thanks to your great example, have decided to become a high school maths teacher myself. You have so beautifully modelled effective maths education and I want to be another person who unlocks the unfathomable for future students. To be more specific, I appreciate the way you scaffold learning: linking to past learning, modelling, demonstrating, providing visuals, etc. You don't just reel off theorem and expect the student to unpack all of that for their self. In addition, your channel is very well organised. It's not only very easy to find relevant videos, but I can select the playlist corresponding to a specific course and follow the logical sequence from beginning to end. This helps me to scaffold my own learning without needing to know how to sequence it for myself. Thank you. I just wanted to encourage you and let you know how very well you're achieving your goals in this space.
Hello Doc.
It would be an understatement to say that you’ve basically changed my life.
I have went through basically all your calc playlists and especially the vector calc one was phenomenal. I’ve recommended them to almost every student I come across nowadays.
Your channel has shaped my love for mathematics and even career decisions, I currently tutor some other engineering students and am planning to move into more pure mathematics bit by bit. I currently self-study abstract algebra 😃.
I’m going to try and reach out to you soon on Patreon, hopefully you are free to respond then.
Thank you for all you’ve done.
Thanks so much for sharing, appreciate that!
We love you very much Dr. Trefor. We are soooo excited to get more amazing math videos from you on the upcoming days!❤❤
I'm a math tutor and I enjoy recommending your videos to students or using them to self study so I am prepared for questions.
Thats awesome news for you...and for us viewers!
im a maths undergrad in the UK and your videos have helped me alott, wishing you luck
Your videos are awesome. I learned alot from you. Really excited for this!
You've become my go-to recommendation for all engineering mathematics. Thank you and all the best!
Now that. Is awesome news! I too think TH-cam holds incredible power for math education content, and your channel is one of a few gems out there that's particularly good at keeping even some of the scariest seeming branches of uni math accessible. Pleasure to have you back on the site full-time for a while, absolutely cannot wait to see what you put out! (plus, it'll no doubt help out with my ongoing math degree - if my exams this year are anything to go by, I'm gonna need it...)
P.S. I'm curious as to the shirt? Is that some form of Stokes' theorem? A generalized fundamental theorem of calculus maybe? Idk.
Ya generalized stokes' theorem!
Laplace transformation lectures by you sir were amazing really helped me
Glad to hear that!
Something I don't see much, but which probably wont get clicks in any direction, is an accessible pitch for something (ideally cute/accessible) from your research. Picking a paper you've written and giving the maximally approachable version of some example, target audience an undergrad who wanted to read it for a reading course or problem.
Actually it's a very good new for us dear professor. Being able to see more content in your channel. Can't wait for PDE series and more applied math videos ) Again thank you dear prof for all your efforts ❤️
Great that you are staying here: You gotta be true to your youtube school. I would very much enjoy watching you do a series on Complex Analysis/ function theory.
I Respect you, I learnt descrete math from you and aced my subjects and actually started loving discrete maths and linear algebra :D thank you for those videos ! hope to learn more ! :D
Fantastic!
I am a history student from Syria and I have nothing to do with mathematics, but I feel that I have developed a kind of love and hobby for mathematics thanks to your videos. I am very excited about the future and I wish you a very impressive success, Professor.
Hi Dr. Trefor,
So happy to know the news!!
I am a EE student at NYCU Taiwan and have been successfully obtained A+ in most math relative major with your videos. Its without doubt that I can’t do it without your works!!!
One type of the content I believe would have a great market need is more advanced subtopic in math major. For example, your linear algebra videos include linear transform, spaces, but lack of more complex topic such as SVD, PCA etc. These are u sually students get stuck, and would desperately want to have a intuitive understanding which you provided.
It should not be like the typical math courses but like a overview to have a intuitive idea.
Anyone, hope the best for you!!
I was lucky to take a couple of Calculus courses from you back when you were at UC. I've continued to watch your videos and they always are a big help. Good luck!
I think a good idea is to some kind of background survey, I'd love to see some especially non-trivial content but it only makes sense to suggest if there's a good enough for you fit with audience/you have a strong interest in said topic.
Congratulations for your success! Some different levels of math Applied to real world engineering, biology, Chemistry, programming problems with the thought process on how to solve the problems effectively and efficiently.
Good for you! I've really enjoyed your videos, and glad they've reached a wide audience. I started my own math YT channel last year and still trying to get it off the ground, so I know how hard it is to gain viewers. Looking forward to more videos!
Very cool - good luck!
I enjoyed your explanations of every topic, Honestly i would never have learned like this from my school. You taught to Enjoy math with intuition! Good luck man!
As a bachelors in math student, hoping to advance towards doctorate in theoretical math, I'd like to see real analysis, complex analysis, and measure theory, as well as abstract algebra from group to field theory then algebraic geometry, and to algebraic topology
Congrats! That's brilliant news! I have been a subscriber for many years now, I think you had < 10K subs when I found your channel. I've found your content interesting and engaging over the years. I'm starting an MS in stats in the fall and have been brushing up on my linear algebra. I'll be reviewing your content on that subject to supplement the Coursera course on the topic. Best of luck with your study leave. That sounds amazing!
That's really cool, thanks for sharing!
Congrats! Have loved your calculus II content and super excited to learn calc 3 and differential equations in this fall semester and looking forward to watching your videos for help! Speaking of where is the open source differential equations textbook you mentioned? I couldn't find it in the description and would love to check it out! Thanks for the work you do :)
Here it is: web.uvic.ca/~tbazett/diffyqs/frontmatter-1.html