This is what an applied math exam looks like at university

Learn more about applied math through Brilliant: brilliant.org/Tibees
Download the exam with full solutions: drive.google.com/file/d/1-tsq...
This exam is 'applied mathematics' which in this case covers both linear algebra and differential equations. You might not have these combined in one course depending on your individual degree structure but you can expect to see content like this if you major in engineering, math or physics.
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Twitter: / tobyhendy

[@tibees]

What do you think of this exam? I'd love to hear your thoughts!

[@samblabbers]

This looks like Linear Algebra I think. Took it in 1st year engineering

[@oukid2633]

Do you think you could show your phd project? The seeds you were growing last time looked really cool.

[@TheLordexilius]

Finished my ms.c in biotech some 2 years ago from Aarhus University (DK). I had an applied math exam during my 6th semester (which is probably 4 years ago by now), and it was, in fact, alot like the exam here presented. It may have had just a bit more difficulty packed into it, not sure, but it really was very close to this. I think there were some additional subjects like La Place transform and solving of systems of differential equations. The difficulty, however, matched what you present here very closely. I do not remember sufficient linear algebra to do well in this exam right now, but all the subjects and solution models you presented seem very familiar to me, which I take as a good sign ;-) So thanks for a great vid on a slightly different type of exam than what you usually cover ;-)

[@ianmorgan7906]

Add a math/physics qual from America phd program. Check out Harvard quals.

[@user-of9ll9nv6v]

Tibees , thank you for your videos! I'm really enjoyed seeing your explanations of different types of exams. I'm studying mechanical engineering in Russia and really interested in what way students in the US and Europe learn mathematics and physics. I would be glad if you could send me names of text books and workbooks of math and physics you used during your education process. Please, write them on my e-mail. Thank you in advance. Best wishes, Egor)

[@d-rabbitfor5398]

Her smile is bigger than my future.

[@yeshuasweapon4384]

God loves you

[@alisacs_f.l1312]

LOL

[@uzomannaemekateflondon1144]

Don't be foolish your future is big

[@uzomannaemekateflondon1144]

Don't be foolish your future is big

[@natelastname3423]

You’ve inspired me to take my high school physics classes seriously. Thanks and fantastic job!

[@tibees]

Such a nice comment!

[@momokat4082]

She rocks that 90's Barbie doll look

[@betht840]

Haha

[@l_m_a_o2178]

More like Harley Quinn

[@jaykay2218]

Cringe

[@HATTRICK202]

Yes 💯

[@dancingbubbles1126]

You've made videos about some of the horror stories of studying physics. Could you also make a video about some of the aha moments where you finally understood something that you were having trouble with, and what made it click for you? I think that would be really cool and interesting.

[@r0z3d]

I upvote this comment with a upvoted comment and a like of the original comment. GIVE THE PEOPLE WHAT THEY WANT!!!!!!!!!

[@tibees]

Thanks for the idea, I will try to make in the future

[@kashutosh9132]

That will be a good idea for a video

[@raigorstonehoof6477]

@bubble king hey man i heard the exact same question on Neil Tyson q&a youtube video, are you maybe the same guy lol?

[@AzraelGFG]

brain.exe has stopped working

[@PuzzleQodec]

Nothing an upgrade to v2.0 can't fix.

[@catwithaknife198]

.exe is a virus program.

[@venkateswarlumanti9427]

@@catwithaknife198 who said you .exe is a virus program??????

[@MrVavo007]

I'm studying applied math and this are the type of stuff I did in my lower division math classes. This are just the "tools" to the real applications you'll do with math which is why it is very important to become proficient in this topics.

[@ThEtRuEmAnIaC368]

Absolutely hated Physics when I took it up in my A Levels. Watching your videos made me think about it a bit deeper than just memorising formulas and theories. Passed with an A* composite. Thank you!

[@tibees]

So happy I can help in any way!

[@TheNachoesuncapo]

I love your videos in actual tests! they are really helpful for me and I assume that many others they are too thank you :)

[@giftfromyoutube]

Thank you for this. I loved every second of it. Applied Math is so cool and requires a ton of thinking. That is actually wonderful.

[@usmanalam23]

This is an absolute beauty of a paper. The first part on Linear Algebra is something that I can't believe I've come to love as much as I do. I remember in my first year I was all angry with Geometry I and was convinced that mathematics was all about calculus but now I love Linear Algebra and its applications. Haven't done *too* much by way of PDEs, but they're not too hard and I'm a sucker for some good old differential equations. Love your videos, and wish me luck because my exams start on Monday!!

[@tibees]

Good Luck ;)

[@joao8896]

As always, great video Toby! As a 4th year engineering student ( eletrical and computer engineering) I can remeber having this kind of exams, I think it was not a very difficult exam...Greetings from Portugal, and keep the good work!

[@tibees]

Thanks for watching :)

[@tanishkas4241]

I love watching your videos..you are so calm and simple ..that makes your channel special ☺

[@henrygreen2096]

A pretty fair summary of every Applied maths course I took in uni. exactly like Tibees said it's Linear Algebra (which was the very first course and for some reason the hardest one to me) and Partial (& regular) Differential Eq. There really isn't any calculus on the exam. but that might be because in most cases, myself included, calculus is done before university. You don't need it for lin. Algebra really, but it's the backbone of Diff-Eq and others. Great video.

[@karimullahsarkar1592]

Thank you for giving the question paper in description ❤.

[@ananashrabi3728]

You are amazing Tibees!! Loved your explanations ^_^

[@Brohhamm]

Love your videos! Whenever I feel uninspired your videos remind me about my love for math. Thank you for making these videos 😊

[@tibees]

Thanks for watching :)

[@onyourface207]

just when you thought you seen all of KZbin, something completely over my head but I found myself watching your channel for nearly a hour.

[@samirgeiger1042]

Great video, as always. It gave me great insights on what to expect when I go to college. Thanks very much. I do think though that the linear algebra part of this exam didnt compare (in terms of difficulty) to the other questions. I thought it was pretty easy

[@tombufford8659]

I like many took these exams and from your description the importance of remaining level headed and thinking through before attempting solutions.

[@CodeEmporium]

Question: How did you get Brilliant to support your channel? I too am an education content creator (in Machine Learning/Deep Learning/ AI) and wanted to know how I can do the same for my channel. Great video by the way. I remember this stuff from freshman year :)

[@tibees]

Brilliant contacted me themselves once I got like 25k subs

[@ehsOFspades]

Starting my calc, chem & physics sequence this semester. All your videos are ✨

[@sciencepetr5179]

Brilliant Video, as usual!

[@farey3241]

I could listen to you all day long

[@unknown360ful]

YAY! New Upload! Finally, I was really waiting that after the physics, a math paper would come... and it did! THANK YOU! >>>

[@tibees]

Thanks for the support!

[@unknown360ful]

I'm absolutely honored...

[@pragnasanyal1798]

we can take out the inverse of the given matrix using adjoint A dived by determinant A as well right?

[@Itstimetorecover]

The matrix at 4:33 and the one at 4:42 are different aren’t they? For the second element of the second row, one is 3 and the other is -3. How can we say the inverses are equal if we’re dealing with different systems?

[@Orosh]

Finally an exam I could solve. Most students of Electrical or Mechanical Engineering will take an exam similar to this in their third semester. Thanks for showing an exam from a STEM major that isn't physics. There are a lot of majors, that aren't as hardcore as physics and still involve a lot of interessting physics and maths.

[@lluisfargaslopez3925]

Actually did all the maths of my mechanical engineering grade in a couple of semesters. Teachers gave us the content in "zip" format. Hoping to be able to uncompress it when needed

[@rmela4501]

The linear system doesnt match the matrix from previous question. The 2nd equation should have a +3y not -3y.

[@tibees]

Oops, thanks for pointing this out. I typed out that linear system so must have made a sign error - they are supposed to match

[@7906jun]

Thanks for the upload as always. I am just wondering, do you know about the incompleteness theorem? Where it says math, after certain level, will always be incomplete and inconsistent. If you do know about the theorem, could you share how you feel about them? For me, it gave me a sinking feeling that that may be our limit.

[@tibees]

t's a very interesting and philosophical idea, i would like to talk about it in the future in a video

[@han5vk]

That thumbnail accurately describes me when first taking a look at any exam of the last 3 years in uni lmao. "NOPE." But, somehow, by sheer happenstance, I made it through to a bachelor's in Robotics heh. I love how positive and smiley you are all the time, facing much harder problems!

[@ajinkyanaik593]

Where can I get that Schrodinger's Cat poster ??

[@JDMESR]

Hi, i'm currently ending my fist year of studying Applied Mathematics ( or at least thats the name of the career xd)(i study at Universidad autónoma de Aguascalientes, México) I can't find a really good method to study, how did you study while you are a student?

[@lockon936]

9:56 is what I look like in real life.

[@tibees]

lol

[@badam9656]

@@tibees lol

[@badam9656]

Lol

[@suridmannan176]

On which year of say, civil engineering, are you expected to get questions like this in exams?

[@chrisl8062]

Would you be able to do a video on any engineering exams? Could try basic mechanical/civil exams as they rely on physics alot so you can go through it

[@nacly0985]

Love your videos!!! I am planning to specialise either in statistics or applied maths, can you do another video on how statistics exam looks like at Uni level? :)

[@20tejas]

could you suggest a good book for applied math 21a and 21b?

[@sergeitikhomirov9780]

This is literally my algebra exam in the end of the first semester at the university

[@EdNieThePianoGuy]

I studied Linear Algebra and DE about 3 years ago; surprised I still remember some stuff!

[@angelopastorini1711]

Your voice is so soft and calming 😁

[@ryanalrugaib8249]

Love your vids❤️

[@cartmanthesecond]

0:58 “and the math does have a lot more applications” Never would have expected that from applied math ; )

[@stemikger]

I have no idea what you are saying, but I love watching you say them.

[@drfpslegend4149]

Ah, those were some fun classes back in junior year.

[@tajshoosh1196]

What app is used? And what’s the cute font in blue color 😂

[@tathagatanandi5813]

You are too polite.. I love that!

[@zynius]

It's been almost two decades since i graduated university and "nope" is also my first thought when i see this exam.... just nope.

[@walidzein1]

Hey Tibees, keep up the good work

[@tibees]

Thanks

[@billykotsos4642]

Wait i though you had to check the determinant of a matrix, before you try to compute the inverse.

[@samirgeiger1042]

I dont get how in the question where you have to solve the linear system of equations, the answer is 53,-16,42, because that pair solves neither of these equations

[@ryanqubadli6925]

Some of the Matrices and Linear Algebra are the same kinds of questions we get in our Matrices unit in FP1 (a unit in Further Maths A Level for 16-18 y/o), doing some of these questions myself were really fun! (The inverses and solutions/transformations looool, those other questions I had no idea)

[@tibees]

Nice to know that someone actually tried the questions

[@isartox88]

Hi, I’m a young Ecuadorian student and I’m interested in knowing if you could teach me a little about pure mathematics? Im currently studying civil engineering but I love maths and I would like to know more Pleaseeee

[@andraspongracz5996]

There is probably a typo in problem 3. The matrix is not the same in a) and in b), although it was probably supposed to be. The second element in the second row is 3 in a) and -3 in b).

[@hening2212]

Those matrix problems are what I got for my mid semester test and I'm an 11th grader. Is it weird?:(

[@sc12sc]

much appreciated ! i love your videos

[@tibees]

Thanks for watching :)

[@proof-xx1vv]

Hi! I just have a few questions: Did you ever take tensor calculus class? If yes, how much did you learn?, and was it ever useful to you? If not, did they offer courses on that subject?

[@tibees]

I used tensors in my theoretical physics class but didn't have a course dedicated to them

[@sma91dc78]

Tibees say i apply to your average physics undergrad course , how much free time will i get if im decent and maths/physics (i.e. i can adapt quite easily) ? Whats the intensity like? I just dont want to be doing physics every single night i need freetime too :)

[@sma91dc78]

Brandon White thanks but how much we talking ? Like would I have 3 evenings/ week completly free for example its for sporting reasons

[@tibees]

You can have evenings free if you're organised during term time, but at exam time the intensity is very high

[@lebebeve4881]

What careers are open if you major in applied mathematics?

[@HuntBobo]

Should prob 3 b. Second equation be +3y?

[@hlias2631]

Is Sudoku going to help me if I want to solve this?

[@rajeshroy9581]

Hello... How would you recommend the Book Advanced Engineering Mathematics by Erwin Kryszig? ? And by the way, you are doing a great work, kudos 👍👍👍

[@yogeshchavan2503]

I have it

[@petercarlson811]

I'm forever molded to be a chemist since I automatically read 3a as Aluminum triiodide. And I had to tell my brain to shut up for a while because it was continuously looking for a way to make that answer fit the question.

[@tirthrajsharma7221]

Your video ,are based on pure understanding . , Now I don't need to Just cram formula. , I can derive it , thank you Tibee

[@YC-iw2re]

Tibees can u pls do a video on how not to procrastinate or at least your opinion on procrastination? i really value ur viewpoint :) anyways keep up the gooooooooooooooood work love ur vids as always

[@tibees]

Sounds like a good idea for the future, thanks!

[@HDitzzDH]

3:40 I think you got question 3b) slightly wrong, the solution I got was the point (47/19, -16/19, 30/19) and that point seems to intersect all 3 of the given planes. Your point only intersects two of the planes but not the third :) {EDIT} I found the error lol, the system of equations in 3b) is not the same matrix as the previous question if you look at the second row, now we have -3x -3y + 5z and in 3a) we had the (x,y,z) be -3x + 3y + 5z, one minus sign changed it.

[@nicholashedworth7521]

Hey this is really cool! Im at A-level (17) in england and learning about this stuff

[@pepaxxxsvinka3379]

WOW THIS CONTENT! * immediately subscribed*

[@MDSFreestyle]

Have you ever have participate in math competitions or programming contest? Saludos desde Mexico

[@tibees]

I did some local competitions at school, I plan to make a video about the Olympiads in the future

[@rosaliacecelia]

Find it completely mind blowing that some of these questions I could attempt fairly well just from the knowledge from my further maths a level!

[@nickysterling2]

Deciding between applied mathematics and comp eng or just straight comp eng for my engineering discipline

[@kishanmadhoo7729]

Thought you pulled out a screwdriver at 3:55 lol. Your videos are great.

[@cachesolo1534]

Ahh, the matrix. Enjoyed that part in college algebra many years back.

[@cedric2803]

Cute little circle creature at the end! :D

[@marmikthakore7480]

You are like a fictional character who has everything. High intellect, soothing voice, gentle approach and beauty.

[@ev4rcroft]

Please do: chemistry (inorganic, organic, electrochemistry, biochemistry, nuclear chemistry, quantum chemistry) electrical engineering, mechanical engineering, chemical engineering, materials engineering, bioengineering, systems science. It would be wonderful.

[@m35926]

If you have the option to take linear algebra then take it. It's actually really fun and kind of like math puzzles. Don't let people try to scare you. Applied math, with enough practice is a lot of fun

[@nigelwright7557]

I did A level and foundation degree maths but nothing to this level.I use maths quite a lot as a programmer but it rarely gets above fast fourier transforms level.

[@aresgalamatis7022]

Q1-3 are 1st year and Q4-6 are 2nd year math in Math and Engineering qualifications. The Pure Math and Theoretical Physics are 3rd with a splash of easier 2nd year question for student to pass the exam in Math (and probably Physics) qualifications, but are way too advanced for Engineering undergraduates. And I did study EE in Germany and now study Math in little England.

[@kushagrak960]

How come we use matrix in real life... Please enlighten me.

[@gamma_dablam]

She explained at the start. You can model a tonne of stuff using it

[@adjacentbrown12]

quantum entanglement please?

[@tibees]

Just general info about it?

[@adjacentbrown12]

Tibees that? and your opinions of it because that ish blows my mind

[@7khon731]

What is your accent from

[@ankushbarman1729]

Mam are you a student of pure mathematics ? ( Mam I'm from India)

[@MultiWilliam15]

I know you didn't want to make this video long, but I think it would be cooler if you covered Numerical Analysis, Number Theory, and Mathematical Statistics/Probability Theory because those topics are widely used in the industry alongside Linear Algebra and Differential Equations. You could also add Graph Theory and Applied Analysis as a bonus. :)

[@tibees]

It's hard to know what I should include. The raw footage for this video was like 30 mins because I explained how to do all the questions but I cut it down because people don't tend to watch more than a few mins of the vid

[@soubhadramaiti1996]

Hello, I'm a student of BS-MS program in Indian Institute of Science Education and Research and I just completed first year. So four more years to go and during specialization I'll take Physics 😊 and your videos really inspires me a lot. Thank you so much for such videos, and useful tips and also for the complete paper 😄 Thank you so much. All the Best.

[@pandulathennakoon3826]

Love Applied. Thats what keeps me alive for now😔.

[@ilovewaffles8682]

Seems like a decent area of maths combines the regular stuff I did in 3rd form and some of the stuff I did in ad math in 5th 😭still remembering all the painful tests I took where I wud get 8/22 on a 5 question test but seems very practical though compared to pure maths

[@arjunm8310]

Nice questions .. question 3(a) & 3(b) was very simple...

[@ManrielXiii]

You seem so peaceful... I really like you as a person. ~°^°~

[@douira]

does this also apply to computer science?

[@MultiWilliam15]

Absolutely. Linear algebra is widely used in computer science. Though I'm not sure about the PDE part, but if you're into simulations, it's really useful.

[@MrJohnn96]

At least I kind of know what this is all about (as en engineering student). Thanks for another exam!

[@tibees]

Thanks for watching

[@MrJohnn96]

💓

[@abhishektrivedi8296]

You have a good teaching

[@LC-qm1xs]

Excellent..love you.

[@ShubhamKumar-id8bl]

mam can i take admission for civil branch

[@Erik-yk9zf]

twitter.com/MarieCoorie I thought you'd like this. She has her own livestream as well!

[@mathyouforgot]

That was all linear algebra, super hard!

[@crosisbh1451]

Looks straight forward. Is this the kind of math used in upper level physics courses?

[@kotzzz9]

Not really, its what you'd expect to find in a first year(or second year at most) physics course.

[@kotzzz9]

If you are talking in general, then yes linear algebra and differential equations are very important for physics but you will progress more and more in these topics as you get further in your degree

[@tabeebyeamin]

Wow, I literally just had my linear algebra exam 3 days ago. :) Same stuff but includes eigenvalues, eigenvectors and a lot of proofs ehhh haha.

[@tibees]

There was one question about eigenvalues on the first page here but I didn't get time to go into it because I didnt want the video to be too long

[@facts-zo4qs]

same and im in first year ahaha seems crazy

[@ev4rcroft]

Please do engineering exams!

[@Nightfold]

I wish my linear algebra exam was like that and no the eigenspace stuff I got!

[@tibees]

There is an eigenvalue question at the bottom of the first page

[@Nightfold]

Oh yeah. I don't know how I missed it. Oh well... I didn't get that eigenspace question, though I was lucky enough that they didn't ask for Dual Space!