Filling in Math Gaps as an Engineer
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- čas přidán 20. 08. 2024
- In this video I talk about engineering and mathematics. Do you have any advice or opinions? If so, please leave a comment below.
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As an Engineer, I agree completely with your advice, especially where you point out the fact that a strong mathematical background will enable one to concentrate on the concepts rather than trying to understand the mathematics required. Mathematics is a tool an Engineer uses to manifest the concepts.
Math is so hard. How do I overcome the mental block for math. I still have to learn pre calculus. I feel like I forget math after I learn it.
@@Valkyrie12124 practice even if you dont understand😂
I understand your frustration but keep in mind that very few people are “gifted” in the field of mathematics. Mathematics takes a lot of work to learn, but the secret to conquering it, as with a lot of things in life is…practice, practice and more practice. Mathematics is a language, just another skill you learn through repetition- however, the more skilled you become you will reap the rewards later on.
You had bad tutors. Switch them.
The difficulty in engineering is often about converting the physical problem to the mathematical domain
Yup, couldn't agree more. So does learning about mathematical modelling help? I am a fresh graduate and already enrolled into a research.
@@CHERKE_JEMA5575 Yes a large part of engineering is math model. You need to convert problems on the real world into equations.
@@Drganguli Thanks, I will surely study about computational thinking and mathematical modelling.
That's a strong mathematical background at this stage! Inexperience is your biggest obstacle: this stuff gets more familiar (if not easier) with practice, i.e., work lots of Engineering Problems.
Consider getting a Mathematical Methods book such as, "Mathematical Methods in the Physical Sciences" by Mary L. Boas; "Mathematical Methods for Physicists" by George B. Arfken; and "Advanced Engineering Mathematics" by Erwin Kreyszig. They cover "What you need to know & How to use it" for Physics and Engineering courses, and have extensive bibliographies containing other works, if you need to get into more details.
Retired engineer here. As an undergrad, I supplemented my engineering classes with a class in linear algebra, complex analysis and probability and statistics. Over my career, the most useful was linear algebra (used in so many engineering disciplines) and probability and statistics. I picked up some stochastic process theory along the way. But I believe, in any engineering field, linear algebra and probability theory and statistical analysis are the most important math supplements for engineering. Having said that, most of my dissertation used concepts of abstract algebra ( extension fields, etc). You need to have a life long learning process and pick things up as required. So it’s important to develop a certain level of mathematical maturity so you can learn other math areas as required.
Excellent comment.
Linear algebra is required for my current degree program in Bioengineering.
Spot on. I am a Chartered engineer in the UK. My degree focussed on applied mathematics only. This certainly left gaps in my knowledge and really turned maths to following procedures and algorithms. I supplemented my degree with extra self-learning on analysis, linear algebra, abstract algebra, topology, and number theory. I agree its a life-long learning experience. Never think you have arrived when you are awarded with your shiny new degree in engineering.
As an Engineer who is now enrolled in an Applied Math PhD program; I understand!
I definitely felt like I was lacking prerequisite knowledge when I started studying math (and sometimes still do), but the only way to ameliorate my condition was to study more.
You just have to look ahead at the courses you might intend to take, and really, really, make a point of self studying in those areas.
I know you can do it!
Depending on the Engineering major (mechanical/electrical/etc...) you can narrow down the math you're going to use the most of. I'm currently working toward an undergrad in Electrical Engineering and most of the math I'll be using is Diff Eq...some Trig...but mostly Diff. It really depends on the specific major. What I do on my semesters off is simply go back through the material from all my previous courses and do a brush up or really hit the stuff I struggled with (Series/sequences/etc...). Even if you don't necessarily use that, the refresh really helps solidify most of what you'll use.
If you're really struggling with certain concepts, reach out to your professors or even people in the math department. There are usually a lot of resources, as far as study groups or even tutoring available. Don't give up! I'm right there with you! :)
*Trick: I specifically buy older textbooks that I can match up with a "Teacher's edition" or "Solutions Manual". I go to the end of each chapter and practice the problems. I then use the "Solutions Manual" to check my answers.
I got an engineering degree, but because of the lack of proofs, I went ahead and doing my masters in applied mathematics. The jump between proof based mathematics and non proof based is the hardest challenge in my opinion.
"To use mathematics effectively in applications, you need not just knowledge but *skill* . Skill can only be obtained through practice.", Mary Boas in "To The Student" of her "Mathematical Methods in the Physical Sciences".
This is true for both applied (computational-oriented) and pure (theorem-proof oriented) courses.
I used "Elementary Differential Equations and Boundary Value Problems" (3rd ed.) by Boyce & DiPrima in a DE course offered by the Math Department; and "Mathematical Methods in the Physical Sciences" (2nd ed.) by Boas for the Mathematical Methods course offered by the Physics Department. They both have very applied approaches to the subject.
"Partial Differential Equations in Physics" by Arnold Sommerfeld is based on his lectures on Theoretical Physics. It, like other volumes in the series, illustrates the thought-processes of a truly great mind; he was one of the strong bridges between Classical and Quantum Mechanics.
John von Neumann once said, "Young man, in mathematics you don't understand things. You just get used to them." I agree with this but you really have to do it everyday.
Your content just save my life.
Thanks for the video, i will work to see the beauty on math.
I'm not an engineer myself, but I very much appreciated the books by John Bird - Understanding Engineering Mathematics, Bird’s Comprehensive Engineering Mathematics, and Bird's basic engineering mathematics.
Sir i'll never be able to thank you enough for all the advices and courses you give
I’m in my last year of my Electrical Engineering program. I really dig your videos man.
As an Engineer, I still love math. I want to get to be a Machine Learning Engineer. Truth be told a passion for mathematics kinda sipped into Engineering. I am happy to say I have both flares for both fields. Hopefully Mathematicians are more proud that their concepts are being applied in Mechanical Vibrations for instance. I am hoping to get into Pure Math again. Hopefully I do😉😉
I just want to say you are the best teacher ever! ❤
I noticed on every single exam...when taking physics 1 and 2 with engineering students (all the bright physics students take honors physics)
I saw plenty of "yellow" sheets mixed in with scratch paper during tests.
A lot of cheating going on.
So on the final day, after the last lab test,
I asked the question:
"Two similar sized lunar rovers, speeding side by side, run off a flat ledge.
LR A is twice as heavy as LR B.
(Moon rocks in one perhaps)
Does LR A go roughly twice as far as LR B or half as far?
90% answered it wrong.
Cheating. Does it carry you twice as far, or half as far?
Unfortunately, quiet a bit of what you learn in college is forgotten. That's normal. Relearning things as needed in a career is normal too. Most jobs only really use/need a portion of what you learned on a daily basis. Knowing where to access information, to refresh quickly is also a skill. This is what I have learned from 30 years in a career, and 2 undergraduate science degrees.
Thank you so much!! I faced same situation like Adrian. I find out my interest in math after enrolled into a eng degree, trying to self-teach right now. Use the free time I will recommend that because I fall into that trap lol. And my sincere thank to Math Scorcerer, your words support me and accompany me to comfort my insecurity all along with this journey
I'd like to say that I appreciate your advice Math Sorcerer, I will do my best to follow your advice. I greatly appreciate you making this video for not just myself, but anyone else who had the same question.
Thank you, I am in the same situation, I needed to hear this
Great advices, thanks a lot !
Mech Eng (15yrs) then converted to math teacher/tutor (10yrs) here. Option 4: get a tutor/mentor to advise you. Yes you can look thru books and notes and online by your lonesome but let's be honest your going to waste alot of time. Skywalker flew to the Dekaba system to seek out Yoda. There's no substitute for a knowledgeable mentor.
my strategy right now is handling math so that I can then use that math to handle the physics required in the engineering degree.
Thank you, math sorcerer. I am a brazilian economist. Nowadays , economics has a lot of mathematics and my background is horrible. So I use your videos get motivated and to know how I start doing mathematics. (and also to practice my english that isn't very good hahahaha).
Obrigado!
Your English is quite good my friend. I'm sure you will do well learning the math you need. Cheers.
If you can take Advanced Engineering Mathematics as an elective. It was a great and very useful course for me and get a copy of Kreyszig’s book as a reference!
I'm so glad I clicked on this video ❤.. Thank you maths sorcerer
Hey Math Sorcerer, I have been watching your videos from the very beginning. Amazing how consistent you remained. It inspires me to keep on :-D I currently made a detour to improve my social life a bit, but realized that I lacked the time to further my studies and projects. So I'm switching back to Sorcerer Apprentice mode so to speak :D
Truly amazing, all of your videos are great. I’m teaching myself calculus II this summer in preparation for the fall semester. Is there anyway I can ask you questions to work through?
If i were to be an engineer i would say my math gap would be mostly in permutations and combinations and complex set theory
My dad is a bachelor of electrical engineering. He studied in the country
He later completed MBA in US.
However. He told me he didn't study anything but mathematics in school for 50% of the time and science in the other 50%😂. But mostly in school and college he studied lots of math. A bit of physics and didn't even look at chemistry.
He still got admitted to the best dept. Of the uni. The dept. Of EEE
Great video.
I graduated from EE in the late eighties and my bitch(es) with engineering are:
1. Only 3 weeks of linear algebra(basically so little of it they didn't even call it LA, Cramer's rule and determinants...done),
2. Ridiculous course load.
Item 2 first. At the school I went to only 7% of the graduates made it in 4 years. The rest of us took 5 years or even 6. If you try and do it in 4 years the course load looks like this:
Yr1Sm1 6
Yr1Sm2 6
Yr2Sm1 6
Yr2Sm2 7
Yr3Sm1 7
Yr3Sm2 7
Yr4Sm1 7
Yr4Sm2 6
Now, to appreciate how RIDICULOUS that actually is, here is what a math or physics major takes:
Yr1Sm1 5
Yr1Sm2 5
Yr2Sm1 5
Yr2Sm2 5
Yr3Sm1 5
Yr3Sm2 5
Yr4Sm1 5
Yr4Sm2 5
So in Engineering you are expected to finish 64 courses in 4 years, in Science 40. Also, bear in mind in engineering you are an assignment processor, 1 paper per week, every week, labs etc. All required courses start at 0800 MWF and 0745 TT. My friends in physics most days started at 10 or 11. I'm not complaining about it, I'm just pointing out that I think the expectations are ridiculous.
Also, I HATED the fact that we had no Linear Algebra. First, none of us knew where Cramer's rule came from, they just pulled it out of a hat. Took signals and systems class and they started blathering on about othogonalization which makes perfect sense if you had LA but if you didn't its "WTF?". I'm learning LA now on my own 30 years later....I find it tedious in parts but its interesting to have all those gaps filled in. I now know where Cramer's rule comes from.
As to the email you received and the differential equations confusion, I watched the Yale physics vids by Ramamurti Shankar and he spent about 10 minutes in one of the lectures on differential equations. I like how physicists talk about math as they see it as a tool, a means to an end and not an end in its self. And he shone the light. You start with exponentials because they are their own derivatives and with Euler's formula, so are sines and cosines. Just plug them in and see where it takes you. The techniques taught are just formalization of that.
My first love was always physics but went into engineering because with a bachelors is easier to get a job.
Love your channel and your enthusiasm. Keep it up.
Cheers,
jim
I have as college student who took 2 years off from school 🏫 do I was not able to do well at mathematics return my for my third year of college what do to get better at mathematics as I take a third year around 😮
Yo, could we have a similar videos for math in various fields of comp sci engg. eg: AI, ML, Cryptography, Optimization problems, etc. Starting my engg masters next month. This video will be a lot helpful for undergrads but topic specialized math will be helpful
When I was doing my engineering undergraduate studies I wanted to take an additional math course after I was done with my required series (Advanced Engineering Mathematics from the math department, taught by Dr. Louis Barrett who authored the book taking over from Wylie) and my advisor was really against it ... "why take such a difficult course, you could take Open Channel Hydraulics which is much easier" ... so in their experience things like Bessel functions and Fourier Series were irrelevant. I ended up getting a masters degree in engineering and got my ass kicked in the graduate level mechanical engineering department advanced engineering mathematics (same material, not as good an instructor) again with the questions of why are you selecting these very difficult math courses. I was determined to do more than memorize formulas.
good video. thanks
Can you do a video talking about Grothendieck ?
Hi, you got MA right. Have 2 twins, we feel the love now. They want to wait 2 days. We learn 1h math per day.
Can't imagine those studying Aeronautical engrg😮
You are like bezos if he continued with physics
now that i've seen a few , i still don't get what these clips here are all about :
it's sure no math talk & equally sure no book review ;
so is it maybe "advanced trash-talk" ?
Hey i had a question like, if you had to skip some math like not studying functions and directly studying limits. does it make sense?
Plz put more stuff on Spotify
Sir, im from India. Im 14 years old. Currently in studying prealgebra and gonna start algebra 1, i only have few more topics to cover in prealgebra. Can you give me suggestion, i gonna participate in ioqm (indian entrance math Olympiad) next year. Thank you Sir. Your respectfully
Lackshan
Math major is like having Fischer train you to beat Spassky. Eng major is like they just teach you the moves and you are asked to beat an decent club player
Mathematics is all about sniffing books ))
Engineering is the same but with a dust
this guy doesn't know what he's talking about
Why do you say that?(Genuine question)
He didn't even say anything controversial. What are you talking about?
Old researcher here and follower . Nowadays working in new stuff related to ai . Believe me , this guy knows guide people and advising cheers
YOU WALLY
I am a senior in Electrical Engineering and honestly, when it comes to diff eq, I think the physics/engineering classes used more advanced techniques than the math classes (more Fourier transforms/series and Laplace transforms). I think going through practice problems in my signal analysis class helped me understand diff eqs the best as it is applied in my major.