Not really, if you really want to pursue something you will motivate yourself to keep going and keep learning independently. If you need a good teacher to succeed you’re doing it wrong.
Edd Yes I usually don’t get much out of lectures in general, if I don’t know anything about the subject. So if I didn’t teach myself on my own out of textbooks and online resources I would probably fail most classes I’ve taken.
@@edd2642 I disagree. Anyone is different from the others, any of us learn things in different ways, so your argument is invalid at this point. Futhermore you usually don't have a single course, but a lot of them (5-6 or more). Your time is limited, you mental energy is limited, you cannot do anything just because you want do it. And if i don't need a good teacher to succeed, therefore i don't need school or academy. Professors become useless.
I think the hardest thing about differential equations is that it’s not very intuitive. Most professors just give you the formulas needed to solve certain DEs because “it’s what works” but there’s no real natural intuition behind them.
@@pewpewhuang4162Circuit is in physics, right? Unfortunately I haven't had any familiarity with physics for a long time. Though, I need math for economics.
Agreed. Things you wanna brush up on before taking differential equations: 1. Integration techniques (as mentioned) 2. Infinite Series (Taylor Series) 3. Maybe look into recursive relations a bit, but don't go crazy. If you see generating functions turn back, lol. 4. I can't recall why, but I recall "roots of unity" being mad important. Other than that, I recommend learning how to write clearly with both hands simultaneously. If you've never experienced a crippling hand cramp before, you likely will during hw or worse yet, an exam. Those problems go on for days! Stay organized. Signing up for ODEs was really intimidating. I was surprised at how much I enjoyed the subject. I can't believe I'm saying this, but Differential Equations was a real confidence booster. I feel like Calc II (Integration) was way harder. While I'm here, book recs: "Differential Equations" by Shepley L. Ross (3e) has a really nice passage about using differentials. It's full of gems like that. "Differential Equations: Theory, Technique, and Practice (Walter Rudin Student Series in Advanced Mathematics)" by Simmons is possibly the best technique focused text I've read. I really wish there was a book like that for combinatorics. "Differential Equations with Applications and Historical Notes" by Simmons is another classic.
This year, i discover that i love maths but i feel little sad because my level of maths is not that great,i am not good at study at all ,i failed multiple times in school but somehow i completed my school and now i took admission in college, i m doing my best ,i start from zero, i start with a 6th standard book (square roots ,cube roots, basic algebra and equations,basic trigonometry), after make my base strong i will do further, thank you sir, (this comment is not relevent to this video but .... just want to express my emotions 😂)
I think the hardest part of diff-eq is just the memorization. If I didn't make flash cards for all the different methods and when to use them, I definitely wouldn't have passed
do you have those?? will you please share it? I'm a first year student of CSE. we have differential equations course but I am having a hard time with it... please some advice?
That's the hard way of doing it.. why not look at the proofs behind the methods. When you don't understand something in the proof, you look it up. Maybe spend a few hours doing this. After that you won't really have to memorize anything, since everything is connected. Once you know the foudation, you will know if you are doing something that is right or wrong. The other part is just solving different equations, so it becomes natural.
My experience with it was that it seems to have been just about memorizing a bunch of techniques for solving them depending on how the DE looks. If it's structured like this then it's a Bernoulli's Equation, if it looks like this then it's separable, like this and it's Exact, Integrating Factor etc. Initial value problems (determining the constant) was pretty easy, but determining interval of validity could get pretty tedious sometimes, especially if you had a bunch of substitutions because then apparently you need to find the domain for each substitution.
Thanks for helping thru DE with your content. I used videos to pass it. I made a 98 on my first exam. De its a hard class to make letter grades c,b,and d. keep that in mind. How my professor graded was its right or wrong. Wrong gets 1-2 points. Right with like a term left off would have been like half off. 4-5 problems on a test. In a one hour slot. 3 credit course with only 3 test. Analyse the problem with this and that tells you you have to perform well on all tests. The wronskian with abels method, eulers formula, and laplace with the delta function. You must do well on the first exam! 100%. If you can. The final is going to have little of the first few chapters. Your expected to know it already no time for that on the test anyway. Not to mention if you hated calc 2 and partial fraction decompition. Higher order differentals using synthetic division and little algrebra tricks like e^(-ln(x)) is not x or -x its 1/x or x^-1 power dont forget little things like algebra that will kill all hope. Zero or maybe 1 point at best for you.
Back in my chemical engineering days('68-'72), the Chem E department taught us DE and didn't leave it to the math department. They taught us DEs as would be most appropriate to what we needed.
My school gives DE to the math department, but the math department is essentially a subsidiary of the engineering department. Currently there are 28 people enrolled as math majors and around 1000 in mechanical engineering alone.
I haven’t done a course on PDEs yet. I had taken a course on ODEs and Laplace Transform in my previous semester, and I reckon it is one of the easier classes provided you can recognise the structures of the various DEs taught and remember the techniques used to solve them (which of course involves quite a decent amount of integration).
It was very hard with my tenured, incredibly lazy and low quality teacher. But thank goodness I found your channel! You made it fun and intriguing, wouldn't of passed without you.
Currently taking different equations and it’s the first time I’ve felt that I was in a genuinely hard course. Granted I am taking it online and my professor only gives us brief videos showing very basic things and then expects us to solve much more complex questions, so that could also be a large factor.
IMO, what makes differential equations hard, but also incredibly rich is interesting, is learning how to apply them to real problems. The mechanics of solving them can be learned by rote given enough time and desire to learn. But lets face it, the mechanics (while important to learn and understand) are not how we actually work with differential equations in the "real world". We solve them using numerical techniques, on computers, because there is almost never an analytical solution. I'd love to see a course that just specializes in presenting problems and then applying differential equations to describe a model of the problem which can then be solved numerically.
I would disagree on integration. You hardly do it other than in separable equations or integration factor, but in both cases they are usually pretty simple integrals since that is not the point of the class. For everything else you practically don’t need much integration. I think the most important thing for differential equations is to be able to visualize solutions and build a gut feeling for them
I definitely agree, especially with the teacher part. I think differential equations, as well as linear algebra, are courses that are really deceptive in a sense. What I mean by that is that your first encounter with the subject is very different from what the subject is really like. I would imagine that this is due to the fact that, at an introductory level, the proportion of math students to physics or engineering students is low, and though I love proofs and rigor, very few students taking the course have to interest or mathematical maturity to approach the subject as a mathematician would, neither would many math majors at that point but still (also lot of math majors at my university would push differential equations off until their junior or senior year so they would at least have a better chance with rigor). This is all to say that I found my first differential equations course very hard because the way it was presented to me was like a set of steps that seemed unnecessarily complex and I think that as someone who likes more rigorous math that was hard to figure out. It was also boring because when the math is what you find interesting very little motivation is gained from the subject being applicable. However, I am now taking graduate-level PDE courses and can say that my entire disposition regarding differential equations is very different, so much so that I may specialize in a field related to differential equations. Sorry for such a long comment, but that was an accurate depiction of my experience.
I'm starting ODE course now. Love it so far, but I started to get a little worried that there would be too much memorization. I decided to put in the extra work to learn the derivations and justifications of things like different integrating factors. Knowing where they came from has been super helpful to me.
I believe you can do away with having "a good teacher" given you got the drive to learn, but you need really solid foundations with can only come through practice, which people most of the time just haven't had enough; i still wouldn't go as far as saying its an easy class though, effort definitely required.
Due to quarantine I don’t have a professor giving me class. In the curses pages there’s just a list of UA-cam links to specific topics. I’ve found differential equations to be easy but occasionally tricky. Problem comes with math modeling and verbal exercises which easily through me off. Thanks to this class I found you channel which overall has help me tremendously.
I struggled in the beginning of the course cause I didnt know that you could treat dx and dy as "fractions" perse, moving towards later, once you have the beginning fundamentals, its basically formulas & algorithms.
The biggest difficulty lies in finding the most suitable method. But in general, when you get to diff.eq. You have been most likely doing Algebra for a few years so that is not the biggest step up in difficultly Level you have faced and will face.
This getting recommended to me now is so funny now that I’m in the class. But overall I’d say I’m much more worried for Probability this semester as Diff eq is actually fun!
DE can be extremely hard depending on how in depth the professor goes during lectures. The same goes with Linear Algebra. People who say these courses were easy are lucky (or unlucky) that they probably got a light version of it.
I'm going to take it again. I got a C and I want at least a B. This time with applications. I found the word problems difficult to solve but years ago when i was a tutor it was a lot easier. I agree with you, get a good teacher and use the office hours. I really under utilized that opportunity. My teacher really explained well. And another reason I did better the first time around is tutoring calc 1&2 kept my integration sharp. And all the trig identities the teacher will use will be very important to be familiar with.
a few units in, i think diff eq is harder than calc 3 because it’s not as obvious where everything comes from, and it’s a bit harder to picture everything coming tigether
Really, really good at integrating...nmm. Gilbert Strang on his book linear algebra an DE said the opposite . You do not need too know reallly, really well integral calculus. You can begin to learn DE with a modest knowledge of Integral calculus. Whom do I believe?
From one who loved math but whose study of it foundered on the treacherous twin shoals of differential equations and linear algebra, the importance of getting a good teacher for both of those courses cannot be over-emphasized.
It doesn't only depend on integrations, but it includes many other branches of maths and formulas in it like trigonometry, algebra, complex numbers etc
As I haven’t taken it, I suspect that diff. eq. is a set of problems that is much like integration. Introduction is easy(the inverse power rule) and the rest of the course is substantially more difficult(through no less Doable). What defines the set however is the smaller but still infinite proper subset of problems that have no or highly obscure solutions. One could devote their entire career(and do: the engineer (TM)) and still be thunderstruck by a problem. One weird observation I have made about what makes diff. Eq. Difficult is the fact that it relies on rates of Change. Something that most humans have no direct intuition for. And thus I suspect that students learning diff. Eq. Struggle the same way that calc students do when studying related rates and optimization. Albeit on a much more difficult scale. Edit: clicked send too early. Edit: proof read somewhat.
with the amount of resources we have today online, I think DE is not that difficult, it does require lots of practice. Meaning, if you get stuck on a concept, you can always get an answer online.
Greetings from Curaçao, an Island Nation in The Caribbean, When My Students feels, think and say that Mathematics is Difficult or Hard I always tell Them ... All Subjects ar Difficult if You do not invest time in them and Learn From Your Gains and Failures.
I think it is manageable as long as you: 1. Carefully perform each step. If you mess up a calculation, your answer could be off. 2. Understand a lot about the properties of differentiation and integration and be able to manipulate the equations in a clever way.
I didn’t feel it was a hard class. Most of the time you are reviewing the same material several times. I find this helpful because there are so many ways to approach a diff equation. Some are longer methods and others are shorter ones. I stuck with what I understood the most and felt more comfortable with. This class has a combination of everything. I honestly enjoyed this class.
I took it over the summer of 2020 at NCC when I was interested in going back to get an engineering degree. Two professors taught the class one in the fall and spring and the other in the spring and spring. The latter was the good one and the other was awful and strongly disliked by most students due to poor teaching, insane tests, and obnoxious attitude. I found the first half of the class pretty easy and the second half confusing though I picked up on a lot eventually. The professor really made that class, he wasnt amazing but he put heart into his work and actually cared about giving quality education. That's not common sadly so I treasured my time with him. Overall it wasnt a hard class but the pandemic may have had a role in that. I always found it interesting that of the 800 or more pages of material we could only really touch 100. My engineering friend who took that same professor and is now at Buffalo University says that's pretty typical and that he never saw any use of extra material not covered by this professor in any of his mech classes. I find that funny.
To be honest, differential equations is a complicated but it is really cool 💕 I am always attracted to it, the equations are beautiful especially with the notion dy/dx or many more. It's just so beautiful in the eyes that's why it is so inspiring to study it.
Currently doing differential equations now and I regret not practicing harder on my algebraic skills which leads to both differentiation and integration.
I'm doing differential equations now and I may be in love. I am transfixed by the fact that I was able to figure out exactly when a person died using Newton's law of cooling. This is beyond cool. I'm not exceptional with integration but I'm getting better since I started this topic. This is my favorite unit so far in my mathematics degree.
Differential equations are hard because solutions to most differential equations can not be written in a closed form. Of course if you restrict differential equations course to linear equations with constant coefficients equations then the course turns out to be trivial, but that it just a distorsion of the real subject.
I got good grades in differential equations but I didn't understand what I was doing. I didn't find it hard, but I would love to read a book that would help me actually understand the stuff.
I feel like the professor has an impact on how well you could understand it. In my experience, I preferred my DE professor over my Calc 2 professor because of the way he explained the concepts instead of rushing through them
I surprisingly got a C grade in Dif. Eqs. I was pretty sure id end with a B. But sadly the professor graded the final pretty harshly and that test was a big component of the overall grade.
Thank you for inspiring and educating us. I planning to take this in the coming semester. Please suggest some good books on Differential Equations and Discrete Math.
Yes in the beginning when you’re unfamiliar with it and your calculus skills are not so strong. After taking a course in it, consuming a bunch of content on it from multiple instructors and applying it many times in subsequent courses it gets easier and easier or rather you get better and better.
the problem i face is that. there is no video explaining it in my mother language (circassian) i speak english arabic and hebrew but no to the level where it will let me understand complex math. so all the subjects i learn is not in my mother language. what do i do?
You can't do anything without integration,if you wanna understand DE you need to be really good in integration which can make your process of learning easier.
It wasn’t as horrible honestly. If you can do calculus, then this class will be easy for you. Some stuff can be a bit hard to understand at first but once you know what’s going on, you’ll do fine. Took the class last spring. Got an A in the class which was great!
As an ex-physicist, I loved differential equations. In Physics, they give you a brief introduction, and then they do the, “Now, let’s play...” I understand that the Physics treatment is different from the Maths treatment, and much more primitive, but I always found differential equations both intuitive and obvious: it was all just an exercise in quantifying/manipulating varying fields and intensities in multiple dimensions and degrees of freedom. Everybody I knew feared differential equations, but for me, they were what got me my Physics degree! I still see everything as a multi-dimensional varying field...
Um...I took my first D.E exam and made a 68 on it.. The reason why I made a 68 on it for two reason. One of the reason was writing the exact equation down wrong so I thought it was not exact. But it was actually exact... The second reason was on another exact equation, I did the partial derivative with respect to x instead of y. So, I couldn't finish the problem. That was 15 points I missed... I could have made an 83 and would have been happy but I left mad at myself.
i had a class which only has like 7 people in there, and my lecturer is good so i could ask questions any time. Also i quite enjoyed it somehow, maybe because it's quite interesting for me personally
To answer that question…Like a mfr, but it’s very passable. Believe it or not, you’d probably fail a nursing course before differential equations. The latter is that much more difficult. Speaking as an RN, and biomed engineer.
Diff eq wasn't too hard. Graduate level diff eq literally made me sick to the point of throwing up. I had a verrrry smart but hard teacher. 60% earned me an A-.
A good teacher is the difference between understanding and failing
Not really, if you really want to pursue something you will motivate yourself to keep going and keep learning independently. If you need a good teacher to succeed you’re doing it wrong.
@@edd2642 For math I agree. Not for all subjects though.
@@Icemanactual In your opinion, what would be an example in which it wouldn’t be the case and why.
Edd Yes I usually don’t get much out of lectures in general, if I don’t know anything about the subject. So if I didn’t teach myself on my own out of textbooks and online resources I would probably fail most classes I’ve taken.
@@edd2642 I disagree. Anyone is different from the others, any of us learn things in different ways, so your argument is invalid at this point. Futhermore you usually don't have a single course, but a lot of them (5-6 or more). Your time is limited, you mental energy is limited, you cannot do anything just because you want do it. And if i don't need a good teacher to succeed, therefore i don't need school or academy. Professors become useless.
I think the hardest thing about differential equations is that it’s not very intuitive. Most professors just give you the formulas needed to solve certain DEs because “it’s what works” but there’s no real natural intuition behind them.
I agree. I'm able to solve questions but don't really know what's happening there.
@@rookiej5587 for me it became intuitive after studying circuit. I think it can be taught intuitively if teacher gives few interesting exercises.
@@pewpewhuang4162Circuit is in physics, right? Unfortunately I haven't had any familiarity with physics for a long time. Though, I need math for economics.
@@rookiej5587 ua-cam.com/video/ifbaAqfqpc4/v-deo.html
This video helped me on intuition of first and second order ode a lot
@@rookiej5587that’s all of calculus for me lol
Having a really good teacher is the hardest part
Agreed. Things you wanna brush up on before taking differential equations:
1. Integration techniques (as mentioned)
2. Infinite Series (Taylor Series)
3. Maybe look into recursive relations a bit, but don't go crazy. If you see generating functions turn back, lol.
4. I can't recall why, but I recall "roots of unity" being mad important.
Other than that, I recommend learning how to write clearly with both hands simultaneously. If you've never experienced a crippling hand cramp before, you likely will during hw or worse yet, an exam. Those problems go on for days! Stay organized. Signing up for ODEs was really intimidating. I was surprised at how much I enjoyed the subject. I can't believe I'm saying this, but Differential Equations was a real confidence booster. I feel like Calc II (Integration) was way harder.
While I'm here, book recs:
"Differential Equations" by Shepley L. Ross (3e) has a really nice passage about using differentials. It's full of gems like that.
"Differential Equations: Theory, Technique, and Practice (Walter Rudin Student Series in Advanced Mathematics)" by Simmons is possibly the best technique focused text I've read. I really wish there was a book like that for combinatorics.
"Differential Equations with Applications and Historical Notes" by Simmons is another classic.
Awesome advice! I can totally relate to the crippling hand cramp haha.
Thanks man
This year, i discover that i love maths but i feel little sad because my level of maths is not that great,i am not good at study at all ,i failed multiple times in school but somehow i completed my school and now i took admission in college, i m doing my best ,i start from zero, i start with a 6th standard book (square roots ,cube roots, basic algebra and equations,basic trigonometry), after make my base strong i will do further, thank you sir, (this comment is not relevent to this video but .... just want to express my emotions 😂)
You'd be shocked just how fast you can catch up with self study. Especially using Khan Academy's website.
Best of luck brother
I wish my friends could stop fooling around and start studying too
Hey buddy, how is it going?
I think the hardest part of diff-eq is just the memorization. If I didn't make flash cards for all the different methods and when to use them, I definitely wouldn't have passed
do you have those?? will you please share it?
I'm a first year student of CSE. we have differential equations course but I am having a hard time with it... please some advice?
I'd like to have those too if they exist!
me too please!
That's the hard way of doing it.. why not look at the proofs behind the methods. When you don't understand something in the proof, you look it up. Maybe spend a few hours doing this. After that you won't really have to memorize anything, since everything is connected. Once you know the foudation, you will know if you are doing something that is right or wrong. The other part is just solving different equations, so it becomes natural.
My experience with it was that it seems to have been just about memorizing a bunch of techniques for solving them depending on how the DE looks. If it's structured like this then it's a Bernoulli's Equation, if it looks like this then it's separable, like this and it's Exact, Integrating Factor etc. Initial value problems (determining the constant) was pretty easy, but determining interval of validity could get pretty tedious sometimes, especially if you had a bunch of substitutions because then apparently you need to find the domain for each substitution.
Thanks for helping thru DE with your content. I used videos to pass it. I made a 98 on my first exam.
De its a hard class to make letter grades c,b,and d. keep that in mind. How my professor graded was its right or wrong. Wrong gets 1-2 points. Right with like a term left off would have been like half off.
4-5 problems on a test. In a one hour slot. 3 credit course with only 3 test. Analyse the problem with this and that tells you you have to perform well on all tests. The wronskian with abels method, eulers formula, and laplace with the delta function. You must do well on the first exam! 100%. If you can. The final is going to have little of the first few chapters. Your expected to know it already no time for that on the test anyway. Not to mention if you hated calc 2 and partial fraction decompition. Higher order differentals using synthetic division and little algrebra tricks like e^(-ln(x)) is not x or -x its 1/x or x^-1 power dont forget little things like algebra that will kill all hope. Zero or maybe 1 point at best for you.
Back in my chemical engineering days('68-'72), the Chem E department taught us DE and didn't leave it to the math department. They taught us DEs as would be most appropriate to what we needed.
Nice
Bruh I am learning eng chem is it really for important for eng chemists? Since your one and do you use it often
My school gives DE to the math department, but the math department is essentially a subsidiary of the engineering department. Currently there are 28 people enrolled as math majors and around 1000 in mechanical engineering alone.
@@axmeddahir6487yes, there is a lot of math in chemical engineering and differential equations is used in other chemical engineering specific courses.
Understanding it from an applied perspective is always helpful!
I haven’t done a course on PDEs yet. I had taken a course on ODEs and Laplace Transform in my previous semester, and I reckon it is one of the easier classes provided you can recognise the structures of the various DEs taught and remember the techniques used to solve them (which of course involves quite a decent amount of integration).
It was very hard with my tenured, incredibly lazy and low quality teacher. But thank goodness I found your channel! You made it fun and intriguing, wouldn't of passed without you.
Currently taking different equations and it’s the first time I’ve felt that I was in a genuinely hard course. Granted I am taking it online and my professor only gives us brief videos showing very basic things and then expects us to solve much more complex questions, so that could also be a large factor.
IMO, what makes differential equations hard, but also incredibly rich is interesting, is learning how to apply them to real problems. The mechanics of solving them can be learned by rote given enough time and desire to learn. But lets face it, the mechanics (while important to learn and understand) are not how we actually work with differential equations in the "real world". We solve them using numerical techniques, on computers, because there is almost never an analytical solution. I'd love to see a course that just specializes in presenting problems and then applying differential equations to describe a model of the problem which can then be solved numerically.
Keep reviewing!! That's what got me through this class
👍
I would disagree on integration. You hardly do it other than in separable equations or integration factor, but in both cases they are usually pretty simple integrals since that is not the point of the class. For everything else you practically don’t need much integration.
I think the most important thing for differential equations is to be able to visualize solutions and build a gut feeling for them
Wow, really? That's all there is to it?
thank you Prof Jeff
I definitely agree, especially with the teacher part. I think differential equations, as well as linear algebra, are courses that are really deceptive in a sense. What I mean by that is that your first encounter with the subject is very different from what the subject is really like. I would imagine that this is due to the fact that, at an introductory level, the proportion of math students to physics or engineering students is low, and though I love proofs and rigor, very few students taking the course have to interest or mathematical maturity to approach the subject as a mathematician would, neither would many math majors at that point but still (also lot of math majors at my university would push differential equations off until their junior or senior year so they would at least have a better chance with rigor). This is all to say that I found my first differential equations course very hard because the way it was presented to me was like a set of steps that seemed unnecessarily complex and I think that as someone who likes more rigorous math that was hard to figure out. It was also boring because when the math is what you find interesting very little motivation is gained from the subject being applicable. However, I am now taking graduate-level PDE courses and can say that my entire disposition regarding differential equations is very different, so much so that I may specialize in a field related to differential equations.
Sorry for such a long comment, but that was an accurate depiction of my experience.
That comment was inspiring! I plan to take PDE's one day and enjoyed every word!
I'm starting ODE course now. Love it so far, but I started to get a little worried that there would be too much memorization. I decided to put in the extra work to learn the derivations and justifications of things like different integrating factors. Knowing where they came from has been super helpful to me.
I believe you can do away with having "a good teacher" given you got the drive to learn, but you need really solid foundations with can only come through practice, which people most of the time just haven't had enough; i still wouldn't go as far as saying its an easy class though, effort definitely required.
Due to quarantine I don’t have a professor giving me class. In the curses pages there’s just a list of UA-cam links to specific topics. I’ve found differential equations to be easy but occasionally tricky. Problem comes with math modeling and verbal exercises which easily through me off. Thanks to this class I found you channel which overall has help me tremendously.
I struggled in the beginning of the course cause I didnt know that you could treat dx and dy as "fractions" perse, moving towards later, once you have the beginning fundamentals, its basically formulas & algorithms.
The biggest difficulty lies in finding the most suitable method. But in general, when you get to diff.eq. You have been most likely doing Algebra for a few years so that is not the biggest step up in difficultly Level you have faced and will face.
You have to be really good at integration.
This getting recommended to me now is so funny now that I’m in the class. But overall I’d say I’m much more worried for Probability this semester as Diff eq is actually fun!
Differential equations are hard, until you learn the right substitution to use.
Because I really studied hard at integration course, differential equations became so easy for me. And a good teacher is really important.
Integration can be difficult sometimes.
DE can be extremely hard depending on how in depth the professor goes during lectures. The same goes with Linear Algebra. People who say these courses were easy are lucky (or unlucky) that they probably got a light version of it.
I found it very easy, I had an excellent professor, and I am really good with integrals!
I'm going to take it again. I got a C and I want at least a B. This time with applications. I found the word problems difficult to solve but years ago when i was a tutor it was a lot easier. I agree with you, get a good teacher and use the office hours. I really under utilized that opportunity. My teacher really explained well.
And another reason I did better the first time around is tutoring calc 1&2 kept my integration sharp. And all the trig identities the teacher will use will be very important to be familiar with.
a few units in, i think diff eq is harder than calc 3 because it’s not as obvious where everything comes from, and it’s a bit harder to picture everything coming tigether
I have a fantastic teacher and can do partial fractions - unfortunately I did not study convolution theorem before my last exam...
Really, really good at integrating...nmm. Gilbert Strang on his book linear algebra an DE said the opposite . You do not need too know reallly, really well integral calculus. You can begin to learn DE with a modest knowledge of Integral calculus.
Whom do I believe?
From one who loved math but whose study of it foundered on the treacherous twin shoals of differential equations and linear algebra, the importance of getting a good teacher for both of those courses cannot be over-emphasized.
I'm taking diff Eq in a couple weeks thanks for the tip!
It doesn't only depend on integrations, but it includes many other branches of maths and formulas in it like trigonometry, algebra, complex numbers etc
As I haven’t taken it, I suspect that diff. eq. is a set of problems that is much like integration. Introduction is easy(the inverse power rule) and the rest of the course is substantially more difficult(through no less Doable). What defines the set however is the smaller but still infinite proper subset of problems that have no or highly obscure solutions. One could devote their entire career(and do: the engineer (TM)) and still be thunderstruck by a problem.
One weird observation I have made about what makes diff. Eq. Difficult is the fact that it relies on rates of Change. Something that most humans have no direct intuition for. And thus I suspect that students learning diff. Eq. Struggle the same way that calc students do when studying related rates and optimization. Albeit on a much more difficult scale.
Edit: clicked send too early.
Edit: proof read somewhat.
with the amount of resources we have today online, I think DE is not that difficult, it does require lots of practice. Meaning, if you get stuck on a concept, you can always get an answer online.
Greetings from Curaçao, an Island Nation in The Caribbean,
When My Students feels, think and say that Mathematics is Difficult or Hard I always tell Them ... All Subjects ar Difficult if You do not invest time in them and Learn From Your Gains and Failures.
When Students or Parents refers (refer) to Me as a GOOD TEACHER I ask Them "what are the characteristics of a GOOD TEACHER?"
"Students define a Good Teacher."
I think it is manageable as long as you:
1. Carefully perform each step. If you mess up a calculation, your answer could be off.
2. Understand a lot about the properties of differentiation and integration and be able to manipulate the equations in a clever way.
I didn’t feel it was a hard class. Most of the time you are reviewing the same material several times. I find this helpful because there are so many ways to approach a diff equation. Some are longer methods and others are shorter ones. I stuck with what I understood the most and felt more comfortable with. This class has a combination of everything. I honestly enjoyed this class.
Nice👍
I found convolution pretty tough within an inverse Laplace transform. I had a good teacher but I didn't use enough office hours for questions.
Don’t wait to long after calc 2 for DE. Even though linear and calc 3 will help a little, it’s not worth the wait.
I took it over the summer of 2020 at NCC when I was interested in going back to get an engineering degree. Two professors taught the class one in the fall and spring and the other in the spring and spring. The latter was the good one and the other was awful and strongly disliked by most students due to poor teaching, insane tests, and obnoxious attitude. I found the first half of the class pretty easy and the second half confusing though I picked up on a lot eventually. The professor really made that class, he wasnt amazing but he put heart into his work and actually cared about giving quality education. That's not common sadly so I treasured my time with him.
Overall it wasnt a hard class but the pandemic may have had a role in that. I always found it interesting that of the 800 or more pages of material we could only really touch 100. My engineering friend who took that same professor and is now at Buffalo University says that's pretty typical and that he never saw any use of extra material not covered by this professor in any of his mech classes. I find that funny.
The teacher plays a very crucial role in Differential equations, I am telling from my experience.
To be honest, differential equations is a complicated but it is really cool 💕 I am always attracted to it, the equations are beautiful especially with the notion dy/dx or many more. It's just so beautiful in the eyes that's why it is so inspiring to study it.
Agreed
There are some parts of DE that is hard.. but I felt it was easier than Calculus classes.
yeah it definitely can be
Currently doing differential equations now and I regret not practicing harder on my algebraic skills which leads to both differentiation and integration.
I'm doing differential equations now and I may be in love. I am transfixed by the fact that I was able to figure out exactly when a person died using Newton's law of cooling. This is beyond cool. I'm not exceptional with integration but I'm getting better since I started this topic. This is my favorite unit so far in my mathematics degree.
Application of differential equations is soo hard I am stressing out and saying tf the whole time
Differential equations are hard because solutions to most differential equations can not be written in a closed form. Of course if you restrict differential equations course to linear equations with constant coefficients equations then the course turns out to be trivial, but that it just a distorsion of the real subject.
For me d.e. is all about algortihms. once you get the approach by practice, it is not that hard
I got good grades in differential equations but I didn't understand what I was doing. I didn't find it hard, but I would love to read a book that would help me actually understand the stuff.
I took diff eq with linear algebra and it was much harder than calc 1, 2, 3 for me. Mainly because the pace of two courses in one!
Nonhomogeneous equations and Undetermined Coefficients hit different..
I suck at integration but I’m trying to finish the d.e chapter before college so I can practise more on both instead of searching for resources
Facts...the most difficult part of DE is to integrate....the difficult ones are difficult because the antiderivative is difficult asffff ...
I feel like the professor has an impact on how well you could understand it. In my experience, I preferred my DE professor over my Calc 2 professor because of the way he explained the concepts instead of rushing through them
I surprisingly got a C grade in Dif. Eqs. I was pretty sure id end with a B. But sadly the professor graded the final pretty harshly and that test was a big component of the overall grade.
I think Differential equations is the easiest of the calc sequence other than maybe calc 1 but it is still no cake walk.
Must master the basics
I did not know there was a whole class just on differential equations
Its hard at first cuz lots of new techniques/operators that you dont see in prior math classes.
I’m currently taking differential equations classes in UNI
Thank you for inspiring and educating us. I planning to take this in the coming semester.
Please suggest some good books on Differential Equations and Discrete Math.
Yes in the beginning when you’re unfamiliar with it and your calculus skills are not so strong. After taking a course in it, consuming a bunch of content on it from multiple instructors and applying it many times in subsequent courses it gets easier and easier or rather you get better and better.
I just did the first test and it's not very hard so far but looking ahead I think it's going to get a lot harder
the problem i face is that. there is no video explaining it in my mother language (circassian) i speak english arabic and hebrew but no to the level where it will let me understand complex math. so all the subjects i learn is not in my mother language.
what do i do?
You can't do anything without integration,if you wanna understand DE you need to be really good in integration which can make your process of learning easier.
It wasn’t as horrible honestly. If you can do calculus, then this class will be easy for you. Some stuff can be a bit hard to understand at first but once you know what’s going on, you’ll do fine.
Took the class last spring. Got an A in the class which was great!
thats exactly what my friends said to me after just finishing his first semester in engineering
Should i take it online?
2 thing is savage sir 😂 to get a good teacher
As an ex-physicist, I loved differential equations. In Physics, they give you a brief introduction, and then they do the, “Now, let’s play...”
I understand that the Physics treatment is different from the Maths treatment, and much more primitive, but I always found differential equations both intuitive and obvious: it was all just an exercise in quantifying/manipulating varying fields and intensities in multiple dimensions and degrees of freedom.
Everybody I knew feared differential equations, but for me, they were what got me my Physics degree!
I still see everything as a multi-dimensional varying field...
Um...I took my first D.E exam and made a 68 on it.. The reason why I made a 68 on it for two reason. One of the reason was writing the exact equation down wrong so I thought it was not exact. But it was actually exact... The second reason was on another exact equation, I did the partial derivative with respect to x instead of y. So, I couldn't finish the problem. That was 15 points I missed... I could have made an 83 and would have been happy but I left mad at myself.
i had a class which only has like 7 people in there, and my lecturer is good so i could ask questions any time. Also i quite enjoyed it somehow, maybe because it's quite interesting for me personally
I studied ode and dde at college and honestly I studied it myself the whole 2semesters 😂😂😂
الله عليك ياصطيف
DIFFERENTIAL EQUATION is hard because it is the language to express natural phenomena
I thing that DF not hard in this topics only three type of equestion variable sparable ,homogenous ,liner
De is ok but sometimes it's applications and cases beat the shit out
ODE is kind of hard but PDE is a nightmare for me
A good text book is important too 😅
you looks like issac newton
It's not hard but it gets tricky. To me it has felt like I'm just taking all the math tools I've learned already and using them.
Newton 😮
DE is freakin' hard. But thanks to UA-cam tutorials and some of my classmates who patiently teaches me.
It’s the hardest college math class, and it’s really not close.
Is linear algebra a hard course???
My final is after tomorrow, so we'll see if it's hard
I simply skip all the hard part of differential equations and go straight to solving them numerically. Much easier that way.
To answer that question…Like a mfr, but it’s very passable. Believe it or not, you’d probably fail a nursing course before differential equations. The latter is that much more difficult. Speaking as an RN, and biomed engineer.
Hard sire
If you have got a good teacher, nothing is hard. If you have a bad teacher then basic additional subtraction can be like rocket science.
if you are good at integrating it's easy to be honest
I think it's just not that intuitive compared to calc 3 and linear algebra. At least for me.
Diff eq wasn't too hard. Graduate level diff eq literally made me sick to the point of throwing up. I had a verrrry smart but hard teacher. 60% earned me an A-.
It depends on calculus 1