My FINAL EXAM STUDY SYSTEM as a math prof

[@JohnSmith-fd5un]

Thanks, doc! My exam is in 8 hours.

[@DrTrefor]

Best of luck!

[@silentintegrals9104]

Hopefully you did it!

[@nabranestwistypuzzler7019]

How was it?

[@AnteUjcic]

Did u make it

[@JohnSmith-fd5un]

Damn, I forgot to respond. Went pretty well, I got A- in mathematics (New high, B+ was standard.) And overall, 8.9 CGPA. Looking forward to got even higher!

[@shobanaraghuveeran]

You've posted this at exactly the right time! I am having my all important maths exam tomorrow and the tips you have suggested really helped! Thanks!

[@DrTrefor]

You got this!

[@masternobody1896]

@@DrTrefor my life in a nutshell is failing . rip me i guess

[@kaskilelr3]

I took quite high grades in my studies, and I recognize myself doing the very same tricks. This is great advice! Just one addition: If you completed a tricky exercise, dont just continue to a new exercise, but instead think about how you could have solved in in a simpler way and redo the exercise.

[@framemaxxer]

Wow, fantastic video, really insightful and valid since it is coming from a math professor! main takeaways: 1) space courses out 2) actively learn, makes your brain work more/ suffer more therefore more gains similar to weightlifting 3) practice should be 80% ish your study, ie study by doing, not just passively "understanding" concepts, theory does matter, and its not all practice, but these leads into making it active, but questioning WHAT DOES IT REALLY MEAN, and also WHY WOULD IT BE ON THE COURSE... 4) MIND MAP, I barely use this, and I think it gotta be quite effective being able to see the bigger picture, and also makes everything feel organised and all there... 5) make predictions about what will be on the exam, i guess this just leads into proper preparation and knowing the slightest distinctions between q's in one topic to not get tricked up if one tiny thing is different overall, alot to take it, and harder to apply, but that is the goal, to apply everything said

[@kaskilelr3]

Also, record the hours you spend learning (effectively, not slacking) each day. It will set a baseline for yourself and help you recognize when you are not really being effective anymore. If you only count productive working hours, I find 6 hours per day a real challenge.

[@tonyhaddad1394]

Math make me happy , its my hobby

[@lgl_137noname6]

To me, By far this has been the most meaningful and impactful video youv'e published so far. *THANK YOU ! THANK YOU !THANK YOU !* Promoting and creating resources and methods of ACTIVE LEARNING could be a distinctly lucrative avenue to pursue.

[@DrTrefor]

I’m so glad!!

[@jillianturman7853]

Not an articulate human right now because I’ve been cramming for finals but my compliment for you is that the way you speak is so fluid

[@ambitiondream1113]

Hello sir! Hope you are doing great. I'm really grateful to you for these insightful videos. I think I failed my Math mid-terms due to unprecedented circumstances and was really disheartened 'cause I love math and have always been good at it. But I really couldn't give up due a setback especially when it is MATHEMATICS and then I came across your channel and your videos really helped me. So from the bottom of my heart I want to THANK YOU SIR.

[@Scatter_Guy]

Thank you for the video! I'm a PhD student and tips like these are still so useful & are great reminders of how to be more efficient and help students! :)

[@mahxylim7983]

These tips are gold. Thank you for sharing these :D

[@lukedeng6386]

final next week, this video can't be more clutch, thank you

[@DrTrefor]

good luck!

[@thehappyhobbyist8980]

Would also be useful if you make a video about guessing the correct answer in an objective type exam, without actual calculating...sort of like using statistics and probability to make precise guesses that are more likely to be correct, anyway... this video was really helpful!

[@daydreamer05]

My exam for PhD intrance of physics is on 12th December. And I watch your videos to make my mathematical background strong. And you know physics is nothing without mathematics.

[@DrTrefor]

Good luck!

[@silentintegrals9104]

You will do it!!

[@shiminglu3940]

Thx from a Math Student from Canada:)

[@DrTrefor]

Nice!

[@shiminglu3940]

@@DrTrefor would you mind filming a video about how to study abstract linear algebra or real analysis?

[@Abiodapro]

I sooo needed this!!! My final exams are in a week Thanks a lot for the tips!

[@DrTrefor]

You got this!

[@silentintegrals9104]

You will do it!!!

[@kck9542]

Lol I thought, you would be busy with your daughter and video will be uploaded my exam. But here you are, thank you so much for remembering this family as well.

[@DrTrefor]

haha I love my daughter and KZbin equally:D

[@darthmath1071]

@@DrTrefor Surely you're joking, Mr Bazett !

[@LibertyCairde]

Thank you!!!! I needed this. My final is Saturday!

[@DrTrefor]

Best of luck!

[@Bibi_Mbaape]

Real Analysis 1, Calc 3, Linear Optimization, Numerical Methods 1, and Regression exam next week and the week after. Thank you for the inspiration Dr. Bazett!

[@DrTrefor]

good luck!!

[@radheyshyamsharma1975]

Thank you so much sir..

[@TomokoAbe_]

Mathematica is very useful tool. I have the fifth edition of Mathematica which does not require a yearly subscription so I was lucky and it is still 100% functional. Mathematica will go step by step how to solve the problem, and you get the answer in seconds. NEVER cram math. It takes tons of time and practice (homework) to comprehend it. Pupils need to study every single day.

[@P_taxiDr]

Thanks for this great video, I have my calculus 3 midterm in 2 days!

[@DrTrefor]

Good luck!

[@jehanbhathena6270]

Thank you sir for the advice, Been a while since I have seen a video from your channel since I didn't have any math subjects in the recent semesters. Will surely try to implement the tips in the video.

[@lgl_137noname6]

5:00 *WHY* Regrettably, very few teacher/instructors/educators take offense when they'r asked WHY questions. Many take it as a challenge to their authority and even their competence.

[@MrSaemichlaus]

I almost got trouble from a coworker when I was learning a practical skill in my apprenticeship and asked him to explain why what he was saying was true. Turns out lots of people are very shallow about knowledge and expect you to run the machines and shut up about the hows and whys. And my experience with most of my school time is that almost no one asks deeper questions, so teachers aren't even used to explaining the actual mechanics of something, as opposed to just the one by one steps of robotically working through something.

[@TheNachoesuncapo]

wow i would have never imagined this happened to you!,thanks for sharing it :). and thank you for your latex tutorials

[@DrTrefor]

You’re welcome 😊

[@northernlight1000]

Perfect timing for this video!! thanks! (also just found out today all final math exams at my university are cumulative :((

[@DrTrefor]

oh no! But you got this!

[@MinecraftJesusGaming]

You have got to help me with linear algebra

[@theeccentric7263]

Oh my god my exams are next week. This is really motivating. :) Let's do this!

[@DrTrefor]

You got this!!

[@silentintegrals9104]

You will do it!!!

[@curtpiazza1688]

Great advice....thanx!

[@Hi_Brien]

2 weeks for exams? Not 5 exams in 2 days? Thats nice.

[@sciencewithali4916]

My exam is in a month but I have to cover 4 different subjects Differentiation Topology Groups Linear algebra Lesbegue integrals So I am trying to start in the morning to at least read all of my theorems and rules. In evening I try tackle some exercices. I am going to follow ur amazing rules professor thank you

[@DrTrefor]

That's a big load, good luck!

[@irenepadre3352]

thank you so much for this doc trefor! super glad ur one of us haha!

[@DrTrefor]

Haha thanks!

[@tanweehan9105]

Thank u sir. This has been very helpful. Do u also have any tips on how to study for proving questions in a pure math exam? Such as understanding how to apply certain "tricks" used to proving related theorems to solve exam questions.

[@mohammodislam7174]

VERY GOOD video, Thank You :)

[@silentintegrals9104]

indeed 😎

[@ruinsovereve]

taking my Calc 3 final for hopefully the third and last time 🙏🏼

[@DrTrefor]

good luck you got this!!

[@walter8373]

Got my calc 2 final on Tuesday currently studying old test 1 per day

[@DrTrefor]

Good luck!

[@jeremylane3139]

Hey Trefor, I'm wondering what sort of video(s) you could do that provides some form of general "therapy" for the relationship and understanding between instructors and students. On some level, your videos are already this sort of therapy: we should work to understand each other, and I think your videos help to accomplish this. Communication is key! But I'm thinking of something more specific. Effort post follows: Specifically, I sometimes see students placing the blame for their outcomes on instructors. Similarly, I sometimes see instructors blaming students for their outcomes. I'm thinking specifically of comments like "If only my instructor did X I would have been more successful" or "If only my students did Y, then they would have learned better." Every time I see or hear these sorts of comments, I bristle/hurt a little bit inside. I do not deny that we have all had bad teachers or bad students from time to time, but to me this indicates a very un-productive mindset about learning and education that can really stifle an open dialogue. Personally, I now make a habit to never frame things in terms of "blame". I try to always remember that my students are all very smart people with unique experiences and backgrounds, and that I often am ignorant to most of that experience (even in the few nice cases where we get to have a pleasant chat). What is more, learning and evaluating learning (which university education seems to demand) is super complex! There is almost never an explanation for something as simple as "it's their fault". E.g. the midterm average was really low. What does this mean? Were the questions harder than on the previous test? Was there a particular question that was worded in an unclear way (and carried a large enough weight to throw the stats off). Did it emphasize material that the students didn't focus on in their preparation (for any number of possible reasons, including possibly me giving them insufficiently clear information about what to study), did they have adequate examples and instruction for the skill I asked them to demonstrate, and so on ..... Framing things in terms of blame is not only counter-productive, it's also reductive. In the end, learning and education is a complex problem and students and instructors are, theoretically, on the same team trying to solve this problem. I think in the heat of a semester, or looking back from a distance, we lose sight of this from time to time. So yeah, can you make a video about that? As a bonus, I bet you'd get a decent amount of clickbait from it. You can call it "WAR: Students VS Profs!!" :P

[@DrTrefor]

Ya I think this really is a big issue on both sides, and I see myself sometimes falling into it as well. You might recall that old stat from Mat137 at UofT where students who missed two of the assignments in the year had a shockingly low chance of doing well in the course. It is easy to be paternalistic about it and blame students (even though we shouldn't expect this to be particularly causal) but what does this help? I'll ruminate more...

[@jeremylane3139]

​@@DrTrefor Yeah, it's always challenging on both sides. Another thing I've removed from my vocabulary is any sentence starting with "you should have..." I think "paternalistic" is a nice word to describe some versions of the issues on the instructor side that I'm thinking of. Ultimately, I think a lot of these issues stem from the power imbalance (real or percieved). It's hard to frame things in terms of being on the same team and problem solving when one person feels more or less powerful than the other.

[@edwinwang5594]

My cram time is pretty much an impulse function that fires three days before the exam

[@wakeawake2950]

Thnks, sir ! Tomorrow is my exam.

[@DrTrefor]

Good luck!

[@silentintegrals9104]

I hope you did it!

[@MrSidney9]

Here , 6/7 exams over 3 days

[@jruch_2949]

With active learning I fear doing something wrong which would ingrain bad habits/techniques. With passive learning I see that I can only learn.

[@DrTrefor]

This is why it is so important to be constantly self-assessing and reflecting because you can learn so much more when you figure out the mistakes you are making NOW as opposed to making them mid test.

[@inkognito8400]

Cool Channel! Subscribed

[@tysam5867]

My exam is in 2 hours. Laplace transforms and fourier series

[@DrTrefor]

good luck!

[@tysam5867]

@@DrTrefor thank you

[@shynk7478]

How'd you do?

[@tysam5867]

@@shynk7478 60% :)

[@shynk7478]

@@tysam5867 Not bad! That was enough to pass I'm guessing :D

[@seboll13]

It's always good to get some more tips to study effectively. Thank you :)

[@DrTrefor]

Hope they help!

[@cosmic__]

Could you make a video on how to study for the math 200 final, thanks

[@DrTrefor]

ha, I THINK all these ideas work for Math 200. But I'll add: work the practice review problems I"ll post later today and go to the review session with any questions!

[@lapiswolf2780]

Found this after dropping Calculus 2.

[@juliev2421]

How did you know im studying for my math final??

[@Hi_Brien]

I'm gonna call this Bazett Cramming

[@CostumeJewelryHome]

Hello, fellow Canadian....

[@mysterious5895]

I will study maths from tomorrow 😃 Tomorrow never comes 💔🙂

[@ayansahoo265]

Hello sir!! I have been following u for quite a while. I have been wondering which math courses should I take up after my 4th semester is over and I have to choose a major. I am basically aiming for a physics major but I have been loving maths more than ever nowadays. I have had courses on analysis, linear algebra and probability. Analysis though very fascinating and shows how trivial things are not always trivial actually with rigorous logic I am not sure if I should take up analysis any more in my 3rd year. Can u share your opinions please ?

[@lgl_137noname6]

8:45 IMO, there not enough pedagogic emphasis on learning from past mistakes. .

[@lgl_137noname6]

7:51 IMO, this unnecessary obscuration of similarities is the source increased anxieties in test setting . It's like test writers want to show how smart *THEY ARE* instead being primarily concerned with the adequate mastering of a subject matter by the student body.

[@gaboqv]

In the real world you want to be able to see by yourself what is equal in two different things, it's a basic unit of abstraction

[@lgl_137noname6]

@@gaboqv Correct. That's an acquired skill which has be taught , learned and cultivated.

[@lgl_137noname6]

1:34 Why aren't those research findings applied and incorporated at every level of one's education ?

[@charityrotich3287]

Dude u can cram math🥴😳

[@bobbobson4030]

11:40 Do you have any studies about how making predictions improves learning?

[@MuhammadAbbas-lq8fh]

Hello Doc, Nice channel you've got! I've seen some of your other videos and I like your explanations. I'm interested in the textbook that appears at the 3 minutes and 49 seconds mark (3'49") in the video. It looks good and very detailed. Could you please tell me it's title. Much appreciated.

[@DrTrefor]

Just a calculus book by anton bivens davis

[@MuhammadAbbas-lq8fh]

@@DrTrefor Great, thanks

[@bedlam4209]

Well, I still have three weeks

[@mathadventuress]

Dr Bazett, I think I failed my math methods final. But, I will keep trying. May need to retake class. Thats okay. Math is HARD. Btw, do you know any legendre polynomial/bessel equations and the such? :)

[@DrTrefor]

Oh no! Hope you passed the course overall, but if not sometimes that is ok gives the chance to breathe and relax and come back better next time.

[@afaq7564]

If integration tell us area then why integration x^2 is (x^3)/3, what x^3 tells us ?

[@paul5324]

Better question is what is (x^3)/3 + C if it’s an indefinite integral, where C is any constant. This is the original function that you’re starting off with -> f(x)=(x^3)/3 + C -> meaning when you take the derivative of f, you get f’(x)=x^2. It doesn’t really mean anything really. But f’(a) where a is any number will give you the slope of the tangent line to the curve of f(x) at the point (a, f(a)).

[@bartomiejpotaman6973]

failed at getting to oxford and feelin like shit rn

[@silentintegrals9104]

Never give up! You will fail your way to success!

[@hashtagaroma7778]

They don’t deserve you bro

[@bartomiejpotaman6973]

Thanks for kindness, maybe I’ll try next year

[@BlijVrouw]

Lol "Your grade doesn't define you." No, it just determines whether you get to continue at university and whether you receive funding or have to get a job next term... so yeah it defines a lot.

[@DrTrefor]

I certainly agree grades matter a lot, and so I think you should work hard and consistently over the semester. My point here is just that the skill of being great at mathematics and the skill of effectively cramming for two days are just very different.

[@JohnVKaravitis]

This guy sure does like to hear himself talk!

[@Dina-he1uc]

oo im from canada too lol