Genetic Recombination and Gene Mapping

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  • čas přidán 25. 08. 2024

Komentáře • 601

  • @Tomozaurus
    @Tomozaurus Před 9 lety +1406

    I swear these videos are 100% times better than the actual lectures from my university-run units. They should just show these.

    • @mack_raymond
      @mack_raymond Před 8 lety +92

      I have done the majority of my learning on CZcams, for free and in half the time as in lecture. Yet I am paying enormous amounts of money for tuition. This is sad. The only redeeming quality of the school system that I can find is that it pressures me into learning the material for exams. If I didn't have that pressure, perhaps I wouldn't be bothered to learn the material.

    • @shadowkisss1958
      @shadowkisss1958 Před 8 lety +16

      funny you mention that cause we are mostly put on to watch his videos in my grade 12 Biology classes

    • @theongraham3394
      @theongraham3394 Před 7 lety +2

      A million times better than my lecturer!

    • @megha7564
      @megha7564 Před 6 lety

      Tom Parker def

    • @jessrider2711
      @jessrider2711 Před 6 lety +4

      Agreed. I've already learned more from him in a week than this entire semester.

  • @samaalnassiry7541
    @samaalnassiry7541 Před 3 lety +364

    I haven't watched Bozeman science since my senior year of HS AP biology class. Here I am, 5 years later in college watching him again. Thanks for getting me one degree and on the way to the second.

    • @LXRY
      @LXRY Před 2 lety +7

      im in senior year ap bio right now lol. good luck on your next degree!

  • @kirillkondrachov4864
    @kirillkondrachov4864 Před 8 lety +227

    Exam tomorrow, and I now understand all of this. Bless your soul.

  • @AlmostAnything
    @AlmostAnything Před 5 lety +232

    HELPFUL ? IT WAS WAS MORE THAN HELPFUL

  • @jsscmoran
    @jsscmoran Před 8 lety +80

    Dear Lord... i learned more in this video than in two lectures ...thank you

  • @hydrogenperoxide7244
    @hydrogenperoxide7244 Před 2 lety +18

    The fact that i understand more about the whole chapter in this 10 minute video than my one and a half hour of lecture is amazing

  • @blessdog5392
    @blessdog5392 Před 7 lety +497

    Blows off his homework. FIres up his pipe, and figures the whole thing out. Studivent was bad 2 the bone

    • @sohoyankee66
      @sohoyankee66 Před 6 lety +7

      I'm running out and buying a pipe. Maybe then I'll understand this. :-)

    • @crownofall
      @crownofall Před 6 lety

      Sounds like me only i prefer a cigarette

    • @NobleVagabond2552
      @NobleVagabond2552 Před 6 lety +4

      Sounds like me right now except I’m just high af tryna study, all I’m saying tho, Alfred sparked the la

  • @Jo-gj2nr
    @Jo-gj2nr Před 5 lety +14

    It’s 1 AM the night before my AP bio exam, my bio teacher has spent the entire semester talking about her kids instead of teaching us, I want to thank you for being my bio teacher

  • @lauramorganti4129
    @lauramorganti4129 Před 4 lety +28

    Just wanted to say thank you. I watched this video the night before my genetics exam because I was so confused and I scored 100% 😂🙌🏼

  • @mayabalaji1020
    @mayabalaji1020 Před 9 lety +48

    Mr. Anderson, Thank you so much for taking the time to post some of the most helpful science videos on youtube! Your time means the world!!

  •  Před 4 lety +31

    This video helped me a lot. I just have to consider some issues about the distance of B-A and A-D. Thinking of it mathematically the distance between B-D from the given data is equal to 55 map units which on that note it should be independently assorted.
    It must have been 10 map units between A-D which would make total sense and the reordering of the gene map. I have to thank you Bozeman for letting us think critically and curiously

    • @joshuawhittaker1233
      @joshuawhittaker1233 Před 2 lety +2

      Your thinking is great, but in reality, his example is OK. It is possible (maybe even likely) there is a mistake and as a teacher he meant to give a simple example that added up nicely, but I think the numbers reveal the reality of genetic mapping.
      At 8:57 he says "relative map distance", because recombination frequencies accurately tell the ORDER of genes on a chromosome relative to one another, but do not always accurately tell the exact DISTANCE. In other words, sometimes the math doesn't add up.
      Reasons for numbers that don't add up are several. Double crossovers can result in incorrect distance calculations. Also, not all areas of the chromosome cross-over equally. Some areas are hotspots that have more recombination, and some areas like the centromeres have almost none. The farther apart genes are, the more opportunities there are for inaccuracy in distance calculations based on recombination frequency.
      Side note: Another obvious reason the numbers don't always add up, though not related to this exact problem, is that some human chromosomes are 200+ map units. This method can only calculate up to 50 map units because recombination frequency can't go over 50%. Genes that are over 50 map units apart on a chromosome will all map as 50% RF. In such a case, we would need more genes to compare that are closer together, or modern gene sequencing techniques.
      Also see Khan academy (bottom section of article): www.khanacademy.org/science/biology/classical-genetics/chromosomal-basis-of-genetics/a/linkage-mapping

    • @Matthew9.__
      @Matthew9.__ Před 2 lety +1

      @@joshuawhittaker1233 why cant the distance of the chromosome be higher than 50 map units and the recombination frequency between 2 genes must ne lower than 50% ? Not even exactly 50? Why if it's exactly 50, it means that the genes are in different chromosomes?

  • @whitakerhoskins
    @whitakerhoskins Před 9 lety +338

    B to A should be 15 map units

    • @A169JB
      @A169JB Před 8 lety +29

      +Whitaker Hoskins thanks i did pause and i couldnt figure it out...

    • @darrrenmk
      @darrrenmk Před 8 lety +29

      +Whitaker Hoskins Realistically you are right but the recombinant frequencies come from a sample which means there is a range of error

    • @OShawna23
      @OShawna23 Před 8 lety

      Whitaker Hoskins why

    • @thea16able
      @thea16able Před 7 lety +33

      Thanks I thought I was going crazy

    • @sierraslyh6743
      @sierraslyh6743 Před 7 lety +15

      so, when you look at the math behind the gene mapping, one would expect the distance from B-A and A-D to add up to the distance between B-D since A is just a point in between B and D. however, when you look at the numbers 30+25 does not equal 40. hope that helps

  • @skennedy918
    @skennedy918 Před 8 lety +5

    I always use Bozeman science when I am stuck on something from a lecture at uni, helps me understand it in a better light and furthers my learning greatly.

  • @UdyKumra
    @UdyKumra Před 7 lety +98

    The only thing I'm going to remember after the AP exam: if you blow off your homework you might make a groundbreaking discovery.

  • @ShimiVa
    @ShimiVa Před 4 lety +7

    "and i hope that was helpful"
    yes, yes it was! way more than the 2 hours i had in class today! thanks!! you're amazing!

  • @Tamang4CA
    @Tamang4CA Před 10 lety +95

    for the last gene mapping part. if B to C is 45%, isn't it impossible for A - B (30%) and A-D (25%) to be bigger than 45%?

  • @crosbywhittington4879
    @crosbywhittington4879 Před 3 lety +1

    Mr.Bozemen you are truly godsent. I stg you a single-handedly getting me through college science at this point. I hope your pillow is always cold on both sides.

  • @tomvolpe6562
    @tomvolpe6562 Před 10 lety +11

    Great video! Two comments. 1) 50% recombination doesn't necessarily imply the genes you're mapping are on different chromosomes. The could just be far apart on the same chromosome or have a recombination hot spot between them. 2) When you discuss recombination between the b and vg you have a green box labeled recombination and red boxes above and below labeled no recombination. I know what you mean but students may think that there is no recombination occurring in these regions. It may be but you just can't see it with the alleles you are tracking.
    Thanks again for all your hard work making these videos. They are extremely helpful.

    • @yvonnechiletmarch798
      @yvonnechiletmarch798 Před 5 lety

      yes it does, as a chromatic only represent 50%, so if its more than this is means its not in the same chromatid and therefore chromosome after recombination

    • @rgudduu
      @rgudduu Před 4 lety

      recombination is always checked pairwise, is it? Say, i want to find that final mapping of 4 genes a,b,c,d. So we do pairwise, taking 2 phenotypes at a time, and carefully choosing the corresponding flies?

    • @Matthew9.__
      @Matthew9.__ Před 2 lety

      I didnt understand ur second one

  • @vasenainaiteqe7847
    @vasenainaiteqe7847 Před 8 lety +2

    I have my genetics exam tomorrow and this video has really help in thoroughly understanding Chromosomal Inheritance and recombination.
    Vinaka
    Fiji Islands

  • @desertman33
    @desertman33 Před 8 lety +2

    I've taken a number of courses with this concept and did well enough on the tests, but it was only as I watched this video that it really began to truly make sense

  • @rev2505
    @rev2505 Před 5 lety +1

    This less than 10 minute video just helped me understand what my teacher tried to teach me in a 1.5 hour lecture.

  • @jorgeaguilar5809
    @jorgeaguilar5809 Před 7 lety +2

    OMFG I hope one day I can be as skilled as you to teach science, your videos are GOLD :D

  • @faramund9865
    @faramund9865 Před 5 lety +23

    8:59 There's an issue now though because now B and A aren't 30% apart!

    • @sashadecosta3537
      @sashadecosta3537 Před 5 měsíci

      you get it! you have one the internet for today! congrats! hahah! holy cow what a mistake to have been made! omg, could never have been me!

  • @Joelpenda
    @Joelpenda Před 10 lety +5

    Thank you Professor.You make things really simple and easy to understand.

  • @ztzexplorer
    @ztzexplorer Před 3 lety +4

    A-B is 15 m.u., not 30. Your sequence of B-A-D-C is right though. But thank you Mr. Anderson. You're an amazing teacher. I use your videos all the time to reinforce concepts in the minds of my AP Bio students. If only I had your talent!

    • @joshuawhittaker1233
      @joshuawhittaker1233 Před 2 lety

      In reality, his example is OK. It is possible (maybe even likely) there is a mistake and as a teacher he meant to give a simple example that added up nicely, but I think the numbers reveal the reality of genetic mapping.
      At 8:57 he says "relative map distance", because recombination frequencies accurately tell the ORDER of genes on a chromosome relative to one another, but do not always accurately tell the exact DISTANCE. In other words, sometimes the math doesn't add up.
      Reasons for numbers that don't add up are several. Double crossovers can result in incorrect distance calculations. Also, not all areas of the chromosome cross-over equally. Some areas are hotspots that have more recombination, and some areas like the centromeres have almost none. The farther apart genes are, the more opportunities there are for inaccuracy in distance calculations based on recombination frequency.
      Side note: Another obvious reason the numbers don't always add up, though not related to this exact problem, is that some human chromosomes are 200+ map units. This method can only calculate up to 50 map units because recombination frequency can't go over 50%. Genes that are over 50 map units apart on a chromosome will all map as 50% RF. In such a case, we would need more genes to compare that are closer together, or modern gene sequencing techniques.
      Also see Khan academy (bottom section of article): www.khanacademy.org/science/biology/classical-genetics/chromosomal-basis-of-genetics/a/linkage-mapping

  • @Tomteluva82
    @Tomteluva82 Před 9 lety +2

    most pedagogic teacher ever, awesome video

  • @ladinonyc
    @ladinonyc Před 6 lety

    For someone like me. Besides reading the text book( which I don't get) to later watch a video.Your video helped give me a better image of whats been spoken about in class.Thank you.

  • @SpycyWonton
    @SpycyWonton Před 7 lety +2

    I understand the concept better now, thank you! The only confusing part was the math in the RF example, the numbers don't add up.

  • @charityann27
    @charityann27 Před 8 lety +1

    you and the amoeba sisters have helped me out a lot this semester

  • @lianafeng7074
    @lianafeng7074 Před 4 lety +2

    Mr. Anderson is my lifesaver every time 🙌🏻🙌🏻

  • @cosmiccaravan9408
    @cosmiccaravan9408 Před 3 lety

    THOSE VIDEOS HAVE ACTUALLY HELPED ME UNDERSTAND AT ONCE ALL THE THINGS MY UNIVERSITY TEACHERS FAILED TO EXPLAIN CLEARLY! THANK YOU SO MUCH!

  • @matthew_bang
    @matthew_bang Před 5 lety

    UC honors bio genetics class. Lectures didn't explain this and textbook didn't bother to explain either. You're my go-to source for bio videos

  • @MacyCathleen
    @MacyCathleen Před 9 lety

    Don't know what I would have done without your videos and Khan academy this quarter! Thank youuuu!

  • @kingfisher32
    @kingfisher32 Před 4 lety +1

    I was confused by my teacher’s lecture today but now I understand the topic!

  • @Sabibi420
    @Sabibi420 Před 3 lety +3

    I was going over my lecture material for like an hour and was stuck on the recombination frequencies, I'd almost lost all hope until I found this video. You explained it all so well I can finally understand it now, thanks!

  • @emiliaarif
    @emiliaarif Před 9 lety

    whats life without paul andersen... thank u paul ^^

  • @pris3675
    @pris3675 Před 6 lety +1

    This is super helpful great job Mr Andersen! Sincerely student trying to pass HL bio

  • @SirJaxxSirJaxx
    @SirJaxxSirJaxx Před 7 lety +2

    Wouldn't the range between A & B be 15%? Because if B to D is 40%, subtracting A's 25% should only allow 15 units left over between A & B and not the 30% you have listed.

  • @amandashirley990
    @amandashirley990 Před 9 lety +68

    The problem you give at the end does not make sense. If the correct order is BADC, as you state, the distance between B-A that you list as 30 mu, and A-D you have listed as 25 mu combined give a combined distance of 55, which would signify that the genes B & D are probably not listed on the same chromosome, and no where near the listed 40 mu's apart. I think the distance between B-A was supposed to have read as 15, not 30, in which case the problem is correct, and the idea that there are 40 map units between B & D is sound.

    • @georgeofhamilton
      @georgeofhamilton Před 9 lety +2

      Arjune Giri Amanda Shirley Maybe he wanted to give us an example of an anomaly of statistics and make us see that this idea still works.

    • @BrennanMohrer
      @BrennanMohrer Před 8 lety +2

      +Amanda Shirley Or maybe he just made a mistake. It happens.

    • @noirritnibedita7565
      @noirritnibedita7565 Před 7 lety

      but I got BADC where A should be 10 units distant from D,here it is shown as 25!

    • @dma67111
      @dma67111 Před 7 lety +1

      noirrit nibedita no its 15mu
      Total 50mu..longest b-c 45mu
      So b-a + a-d + d-c (5%) = 45mu and on a 50mu chromosome

    • @mouzicanat
      @mouzicanat Před 7 lety +4

      You can't combine the percentages. Assume they never relate in any way.

  • @phillipkrayterman3008
    @phillipkrayterman3008 Před 4 lety +1

    Actually just saved my life. You made a hard concept easy to grasp for anyone. Thanks!

  • @aliyahstinard3038
    @aliyahstinard3038 Před 2 lety +8

    You made me understand in 10 minutes what my professor couldn't over 2 weeks

  • @lancebryan56
    @lancebryan56 Před 6 lety +1

    ive been watching these videos since 11th grade AP bio and they're even helping me now in my 2nd year in undergrad :')

  • @jennifermccarty7272
    @jennifermccarty7272 Před 8 lety +1

    I am so thankful I stumbled upon your channel, this video in particular. My praxis biology content exam is coming up and your videos are a blessing!

  • @raj10fat
    @raj10fat Před 8 lety +1

    Explanation was crystal clear, understood the concept. Thanks Paul. Kudos

  • @zogfotpik8848
    @zogfotpik8848 Před 9 lety +39

    Man, this guy looks like Hank Green, and he lives in Montana also

  • @katharina...
    @katharina... Před 8 lety +2

    All excellent teachers should be required by law to make youtube videos :D Thank you for your time Mr Andersen, your contribution is invaluable!

  • @sameepthakuri9550
    @sameepthakuri9550 Před 5 lety +1

    I guess studying at one of best university in the world doesn’t necessarily mean you have access to one of the best teachers in the world . Thank you for this

  • @faz1991
    @faz1991 Před 10 lety +15

    As soon as he said "Mr. Anderson" i thought of: "It's inevitable... Mr. Anderson...".

  • @gazw9933
    @gazw9933 Před 9 lety +1

    Damn. Mr Anderson, you make some of the trickier aspects of my degree so easy to learn. Your videos are an asset to my learning. Thank you. And to answer your question. Yes. It was helpful 👍👍

  • @komals.6881
    @komals.6881 Před 6 lety

    Sir you are the best teacher for genetics i would say.. Your vedios have helped me a lot. Thank you so much.

  • @leewonkim3533
    @leewonkim3533 Před 4 lety

    you are the uni lecturer we need but don't deserve

  • @LK-cc4uj
    @LK-cc4uj Před rokem +1

    You are such a great instructor. The visuals were so helpful as well. Thank you!!

  • @danielec.7789
    @danielec.7789 Před 7 lety

    it's very helpful. Now I am prepared for my test tomorrow. Thanks

  • @Its2EZbaby
    @Its2EZbaby Před 6 lety +1

    Very helpful, thank you so much. 1000% times better than my college professors could explain over the course of several lectures.

  • @GodisGris1
    @GodisGris1 Před 5 lety +1

    This was so helpful! I love that you actually used an example och how to solve it

  • @farhanaahmed7163
    @farhanaahmed7163 Před 8 lety +1

    I was so confused in the lecture, this video has helped me so much, all your videos explain perfectly! Thank you very much!

  • @dominickgoga6892
    @dominickgoga6892 Před 3 lety +2

    Thank you sooo much, my teacher never really covered recombination mapping and I really appreciate the help!!

  • @fmar105
    @fmar105 Před 9 lety +1

    You explain so many different topics well!

  • @madcowzrchewy
    @madcowzrchewy Před 9 lety +1

    Thankyou for this! You're infinitely more helpful than the so called "teaching academics" at my university.

  • @hebahamood362
    @hebahamood362 Před rokem

    my HS teachers traumatized me by making us watch you all the time but I'm so glad I got over it! woohoo ty very helpful

  • @FourtySven
    @FourtySven Před 10 lety +12

    i feel bad for those fruit flies, everytime i make them in my green box i just put it outside and set them free

  • @rhettwilliams4996
    @rhettwilliams4996 Před 6 lety

    You just saved my grade for finals. Bless your soul.

  • @rajbhakta9432
    @rajbhakta9432 Před 8 lety +3

    Hey Paul, I noticed at 9:06 that A was placed closer to B when it should be closer to D. Great video by the way, helped a lot!

  • @er3652
    @er3652 Před 7 lety +1

    Amazing video! Explained it in a way that was easy to understand and had excellent visuals to match. Keep more videos coming!

  • @tamaracoore6079
    @tamaracoore6079 Před 9 lety +1

    i love your videos so much, it gives me hope, I've been watching them since my freshman year now I'm a junior taking genetics, you helped me through BIO1 and 2 now i feel confident about genetics.
    -Thank you

  • @monagpal1842
    @monagpal1842 Před 8 lety +1

    We watch your videos in IB Bio HL, and they help a ton! Thanks so much!

  • @mashaelahmed1416
    @mashaelahmed1416 Před 10 lety +2

    why exactly arent u teaching at a top rated university ? my genetics prof. is the worst instructor anyone could have!! THANK YOU FOR THE VIDEOS!

  • @user-oo8fd2ov5m
    @user-oo8fd2ov5m Před měsícem

    thanks so much
    what I admire about you lessons that they are deep and focus on the historical background and how did they figure out the thing you are explaining rather than just memorizing without understanding the origin

  • @lachlay01
    @lachlay01 Před 9 lety

    super helpful. I watch all your videos for uni. cheers

  • @nancysohlberg8150
    @nancysohlberg8150 Před 4 lety +1

    Thank you so much! This illustration and connection is EXACTLY what I was looking for!

  • @zujamongullie6544
    @zujamongullie6544 Před 4 lety

    After watching Nth number of video on this. Finally I landed on this!!!! And it cleared all my doubt. I feel like I have attained enlightenment. Thank you so much sir

  • @johndee3868
    @johndee3868 Před 9 lety +47

    "little b little b"
    -lil b

  • @itsmemargarette9836
    @itsmemargarette9836 Před 3 lety +1

    This is how you properly explain Genetic Recombination and Mapping. By watching this, I was able to FULLY understand it!! Bye Universities. LOL

  • @krystelnavarro1223
    @krystelnavarro1223 Před 7 lety +1

    You are a great teacher and speaker! Thanks for the videos!

  • @alurusumanthkashyap8277

    Inspiring for all those who are trying to listen the classes and read books, not better than this ...

  • @kenbessellieu8267
    @kenbessellieu8267 Před 10 lety +2

    Just in time for my final next week! Thank you so much, I owe my A in Bio this semester to you! :)

  • @alexbjjperez
    @alexbjjperez Před 7 lety

    Making dummies like me smarter thanks this really helped me out for my genetics class.

  • @Antweezy
    @Antweezy Před 5 lety

    bless you. this was so much easier to follow than an hour long lecture

  • @taladiv3415
    @taladiv3415 Před 3 lety

    Well done dear contributor Paul Andersen!

  • @lesoul700
    @lesoul700 Před 4 měsíci

    Wow. What a crystal clear explanation. This is beauty.
    Thank you so much.
    Thank you.

    • @lesoul700
      @lesoul700 Před 4 měsíci

      This helped me a lot!!!

  • @ananyasuri1223
    @ananyasuri1223 Před 4 lety

    Omg I don’t have words to explain about this video....I saw a lot and lot of videos but finally understood it .....thanks

  • @rspkrules
    @rspkrules Před 9 lety

    very well explained, thank you Mr. Bozeman

  • @bullterry14
    @bullterry14 Před 9 lety +6

    thank you! very helpful videos .you are like my second bio teacher.

  • @wearemarshall5240
    @wearemarshall5240 Před 8 lety +33

    A and B should be 15 cM apart, not 30 cM

    • @ryankelly328
      @ryankelly328 Před 8 lety +3

      I agree that A and B should only be 15 map units apart. Otherwise A--> + B--> is greater than 50. Please add a text note to the video.

    • @rehabfarid172
      @rehabfarid172 Před 7 lety +3

      yeah makes sence, so that B---A---D---C add up to 15+25+5=45 which is the distance between B---C

    • @satinderjit4
      @satinderjit4 Před 7 lety +4

      actually they are probability, not actual measurements

    • @wearemarshall5240
      @wearemarshall5240 Před 7 lety +1

      satinderjit4 , you are correct that they are measured in probability. A 'cM' is a centimorgan which corresponds to 1% probability.

    • @jayliu7786
      @jayliu7786 Před 7 lety +1

      Levi Marshall, I had the same thought as you had at first that they were actual measurements and not probability so I spent my time trying to group the genes together so they would total the largest distance. It's nice to know, this is a lot easier than that.

  • @meggietiffany9124
    @meggietiffany9124 Před 5 lety

    Thank you for being a more understandable source of teaching than my Actual university lecturers

  • @shawnagar3747
    @shawnagar3747 Před 2 lety

    Thank you So much KDB... Assisting on and off the Pitch

  • @surajmandal5509
    @surajmandal5509 Před 7 lety +1

    thanku sir this video was more helpful than the schools lecture

  • @funnibunni500
    @funnibunni500 Před 9 lety +2

    Way better than my crappy genetics teacher at school. Thank you!

  • @dan-simi6
    @dan-simi6 Před 9 lety +10

    The percentages of A-B + A-D = 55% or should I say 55 u.m.
    Shouldn't = 40 % or u.m.?
    As the distance from B-D (40%) ........since A is between them hmmmm

  • @dilanhama9178
    @dilanhama9178 Před 8 lety

    I really enjoy your lectures.. In fact I am looking for them

  • @Troubled_waters
    @Troubled_waters Před 10 měsíci

    Thank you!!!
    My biology professor at UNIVERSITY has been a mess trying to explain this to us.

  • @Pingyer
    @Pingyer Před 5 lety

    I was wondering the internet for hours wondering how this works, and you somehow just flipped a switch in my head. Thank you😂

  • @konstantinospanagiotopoulo2927

    Thank you Paul! I was looking for an explanation like this one! Great work thanks again :)

  • @ChemistryBiologyBelalSir
    @ChemistryBiologyBelalSir Před 7 lety +1

    Really awesome work
    would u mind if i take few snapshots and use it for my class ?
    thank you

  • @pabanath
    @pabanath Před 9 lety

    worked for me. i only wanted the overall concept. thank you.

  • @yofhduzzobbhdaj8579
    @yofhduzzobbhdaj8579 Před 6 lety

    Thank you so much it really helped me now I understand it better than class

  • @peacelovejonas094
    @peacelovejonas094 Před 10 lety +3

    Your videos are so helpful! I finally understand this thank you!

  • @nicholasevangelinos6962
    @nicholasevangelinos6962 Před 5 lety +1

    This shaved off so much time from my hw, thank you

  • @CORPSE77
    @CORPSE77 Před 2 lety

    this is way more useful than any textbook

  • @ABeckDSR
    @ABeckDSR Před 3 lety +1

    Who's here during COVID and acting like they're getting an education through online classes but have to resort to channels like Bozeman?