The Best Way To Learn Calculus and Physics
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- Опубліковано 13 чер 2024
- In this video I talk about learning Calculus and Physics. Do you have any advice for people? If so, please leave a comment.
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Thank you:)
"With old books you can gain new knowledge"
Indeed, very well said.
I was playing video games when I was 8 grade. Now I'm 21 learning Algebra 2 and want to pursue an engineering degree later. Khan is a great kid keep up the good work!
Khan is in 8th grade, he is probably a 14 year old, caring so much about learning is fantastic no matter the subject! Khan, please keep that spirit forever!!!
I’m proud to be here myself as a 12 year old 7th grader attempting to delve deeper into mathematics! 👍🏿
@@paleospino4956 👍👍💯
@@paleospino4956 no don't be proud. just learn
@@HariChera I’m proud to learn I meant.
Draw pictures: we under utilize our sense of sight when learning Calculus and Introductory Physics.
Hey. I'm a First Year Physics Student currently Struggling with Calculus right now. I just wanted to say that your series on ODE's helps me a ton, and your videos give me motivation to keep learning. Thank you for all that you do ♥️
Great timing on this video. I just started learning physics yesterday, and then I'll be learning calculus next term. *edit* I'm 35 and back in college.
I'm currently working on your ODE course, and it's awesome! I will most definitely need it because I'm about to take an ODE course in the summer that's condensed in only 6 weeks! Thank you for being such a blessing.
Just took ode I used is online library where the videos are condensed it matched my class almost exactly even the questions were the same for me so if you can master it you’ll breeze thru the summer course usually the summer courses are free anyway tho 😂
My dad used the first edition of the James Stewart calculus book in the 90s when he studied engineering. I now have it in my room
He used to be a professor at my university (James Stewart)
@@jasonharris351 Anyone at your university, ever call him Jimmy Stewart? That's what I call him.
Hello Math Sorcer! My name is Liam, I am 14 and I am finishing 9th grade. Lately, I have really been doing math. I am also really interested in math, I just finished Algebra 1, and my problem-solving skills are SOO much better than it previously was at the beginning of the year. I use text books for my school, but I want to do something that it VERY challenging
Sitting A-level exams in 2 weeks, doing Further Mathematics. Love these videos- helps the journey
best of luck! what exam board are you on?
@@WhosNiall Thank you! I'm on Edexcel :)
further maths is so scary 😭
@@WhosNialljust done my alevel y1 maths test. best of luck bro 🙏
Amazing. I'm also in year 8 (uk), and i feel this hunger for knowledge, specially physics and maths. I've already learned all the topics in my year's curriculum (and the two above it) but i feel it's not enough.
Thank you for the video i will definitely start with these book during summer ❤
the lust for knowledge is truly wonderful
Old books, new knowledge.
That's it right there.
The interest and intellectual curiosity of what you want to learn.
Hey, Maths Sorcerer. All the way from South Africa here. Your advice is really useful. I wish I knew about you before I started my Computer Science degree this year. Early on I'd realized that my trig knowledge was lacking a lot, and how important it was in most of the mathematical concepts/topics. I'm going into my second semester in two months from now (the start of calculus 2) , and I've decided to start early - your video just gave me a little more encouragement to do so. And now with exams coming up before the end of my first semester, I'm already using some of the source material that you've recommended before.👍🏽
Conceptual Physics by Paul Hewitt
is highschool level and comes before
the level shown in this video.
It might be at a frustratingly simple
level for many. But the author is good
This book has helped me tremendously
First one here. I tutor Maths in Manhattan. 20 plus years experience. I tutor Middle and High schoolers
That is awesome!
@@TheMathSorcerer thank you for great contents. I have been a keen fan of yours. One of the best out there.
Thank you for the tips. I am a 9th grader, and I am going to be self-studying Calculus starting this summer since it is not offered by the school at my current grade level where I live. My dad introduced me to your channel a few days ago and I watched several videos of yours with him. I have picked up a copy of Stewart's Calculus along with a couple of other books (Larson and Finney). I much prefer learning from books so I see what you mean :)
Hi Math Sorcerer!
I'm one of the "older" viewers on your channel who are trying to get back into mathematics.
I wonder whether you have any of Morris Kline's book, such as 'Calculus', 'Mathematics for the Nonmathematician' or 'Mathematics and the Physical World'. If yes, it would be great to see a review of one of those.
I'm set in my career but want to learn these things for their own sake and "fomo" (if you can call it that). I have ave always struggled with math, but it and physics has always been terribly enlightening. Thanks for your work and videos.
I had the pleasure of siting down at a private dinner with fellow undergraduates with Takashi Takieda and he told us he learned physics through self teaching and that was rather impressive to hear, especially after a career as a Philologist. What a journey math has takin me on so far!
Excellent Video and Excellent Choice of Books
I'm currently taking calculus 3 ,i'm glad to come across this inspirational video ❤
Heyyy! Love your videos! ❤❤
Yay! Thank you!
I am in my 40s. It is never too late to Learn math
Thansk
Hi math sorcerer. I got side tracked from my own math journey when the pandemic happened. I stopped taking courses at university because I hate online exams. Now it's a few years later and I have to say your channel and 3blue and others continue to be suggested and that keeps math still near the top of my mind. My concern is that it's now been a few years and I've forgotten much of what I learned before, and I don't know if I can get myself back up to the level I need to continue my course work. Do you have any suggestions? I'm old, working full time, and have limited time.
Love the video. I feel like I should also mention what I do. I’m 19 y.o. and currently working fulltime. I’ll be starting medschool in the fall.
Greetings math sorcerer, I was studying Introduction to algorithms by Thomas cormen and it's really math intrinsic, it requires some proof to do and ton of other math. Can you please make a video or share your thoughts as in how to approach the subject of algorithms when not having a strong mathematical background.
Hello I'm from Serbia and I'm 16. I have a C on maths. I actually started the year great with 3 A's. After that I fell off just because of some logical stuff we did, I also got 2 F's on construction. I also have a C on Physics because we didn't do the problem solving in the middle school so I kind of lack some knowledge (I caught up tho). Althought I had all A's in middle school there are times where I struggle on math or physics. I always wanted to be good at maths or physics and I actually have interest in it. After watching 2 of your videos I am actually going to do so much more of maths and physics. You got me so much hope to become better. Here in Europe we do everything in highschool. Algebra, calculus, etc. So I'm excited to learn more ans become better! Thank you.
You're a great inspiration. I would like to ask you whether or not you know of AoPS? For the last 9 years, every USA International Math Olympiad teammate has taken AoPS. From my experience, it is the most hardcore math training experience that I know of (since most of the problems are sourced from competition math).
Is competition math a good focus? Do you have any experience with it?
loveliest channel on youtube.
Thank you
I enjoy your videos, i'm 64 and used to do a little math tutoring. I still like math and am trying to learn vector calculus, my classes didn't get to vector fields and line and surface integrals. PS i thought the shirt looked better on you than some you've worn, pardon the observation please
for erasers, use mono black plastic erasers. way better than the pentel hi-polymer, and does not need a substantial amount of friction to fully erase.
Hi Math Sorcerer.
Your channel is excellent. I really like it, especially the content in which you show some books of your huge collection.
I have a question for you.
As you're a math teacher and like a card game (Magic the gathering, I guess), I guess you surely have some game theory books, as some or even most games are also invented or built using mathematics. Would you like to present some books you own which contain topics about different theories for example game theory and talk a little bit about them?
That would be awesome.
I would be interested how (card) game developers built this game from scratch. They surely use mathematics to keep things as fair and as balanced as possible. Am I right?
From what I have observed, the best strategy is to concentrate solely on the math until all levels are covered and mastered. Once this is done, any other course is like nothing.
What is the difference between Sullivan's Algebra and Trigonometry and his Precalculus book?
Any recommendation on what order we should interleave the chapters from each book? I have Young & Freedman and Thomas' and I'm not sure when to put down the Calculus and start the Physics. I'm later in life self studying.
great video MathSorcerer!! congrats to that 8th greader!
From all of my reading, over many years, I would say that the best 'introduction from scratch' of what calculus is about is the 8th chapter of Richard Feynman's first volume of lectures. It's chatty, it's non-threatening, and it gives the reader a truly intuitive basis for future development.
You might want to look.up Sylvanus Thompson's work on calculus. Still in print and helped many a student the night before an exam!
I'm a 9th grader, and I've had an urge to learn math and physics because I want to be a physician in the future. Thank you for your advice!
Hello Math, what books do you recommend to study statistics from scratch? I want to study and manage a software called SPSS from IBM and later study Big Data, Data Sciences and Artificial Intelligence. Greetings Mathematician. Thank you so much
Didn’t know Thom Yorke liked math and physics
I have finished watching your videos since you wear these shirts. The topic deserves more respect and elegance in my world.
I used to hate math, and now I love it. For my confidence is a huge thing. Taking Physics in the fall and scared, I love anything astrophysics but I have to learn it to understand the world and I love that..
Dear Math Wizard, just a request, can you do a UA-cam on how Isaac Newton used calculus to explain the path and return of Halley's comet?
Isaac Newton used Calculus to determine orbital mechanics in general, to prove Kepler's laws from their causation. Halley is the one who predicted when his comet would return, using Newton's work.
Would you suggest it for jee?
I finished a Mathematics Degree... for me, the hardest part of the whole journey was trigonometry. I loved mathematics in general but I hated and still hate trig.
Man before I move I gotta downsize my math book collection. Too heavy to carry them all. I'll have to bring it down to the best essentials that's the most comprehensive.
It kind of bugs me that Giancoli put his name so large on the spine of that book instead of “Physics” 😂
Funny, I have the translated version next to me and his name is tiny ^^
I have a AP Calculus BC exam and a AP Physics 1 exam next week. Can I read a 700 page book in a few days? Yes, I think so.
A good self-teaching book is "Quick Calculus" by Kleppner.
Book shelf advice ?
Hello everyone,
I am a 28 years old student from a community college, this fall is going to be my second year, I choose an associate in optics and photonics. I really like the program because has a lot of different pathways as electronic, electrical and physics. But I’m afraid if I choose well because maybe I don’t get a good job as a technician and I need some bachelor or master to get a better pay. The problem is that i don’t know what major could pick. I was thinking on electrical engineering, physic engineering, optics and photonics engineering or biomedical engineering.
Someone can explain me about the major or if I choose right my associate? Also what jobs can I do in a future as associate or with my bachelor. Thanks for read sorry forty English I’m not a native.
Hi Math Sorcery I have a question, Why does Calculus need Trigonometry? isnt trignometry about Triangles , I understand the algebra but why Trignometry?
Technically, you could learn a limited scope of Calculus without trigonometry, since you could cover a lot of the material for the calculus of polynomials, roots, reciprocals, exponentials, and logarithms, all without touching a single trig function, and still have a good understanding of calculus. However, it is very common that we are interested in the calculus of the trig functions as well, which is why trigonometry is considered a prerequisite to Calculus. There's plenty of applications of trigonometry to the real world, and calculus of trig functions, that trig functions are part of the toolkit of calculus tools we need to learn.
There are also hidden connections through calculus, between inverse trig and purely algebraic functions. For instance, arctan(x), arccos(x), and arcsin(x) all have algebraic derivatives, which form the basis of trigonometric substitution as an integration technique. As an example, d/dx arctan(x) = 1/(x^2 + 1). You may wonder what the heck arctan(x) has to do with 1/(x^2 + 1), as they seem to be completely unrelated function families.
I also recommend a course in logic. It will help with proofs down the road
Do precalculus and lift weights
@TheMathSorcerer How to understand Physics more in depth in terms of definitions? For example momentum is p = mv what does this say in reality? Even inertia I went through books such as Fundamentals of Physics by Halliday, and 3000 solved problems. Still no use watched Walter Lewin. I am kind of lost.
Inertia = a property of matter that is its resistance to a change in state of motion. In other words, inertia is the m in F=m*a. It is the property of matter that impedes efforts of other matter to change its velocity. It's very common that physics formulas take the form, "cause = resistance property * effect". Inertia is the resistance property in this formula.
Inertia is one form of the evidence of mass that we have, and has the same units as mass. The other evidence of mass, is participation in gravitation.
Momentum is a mathematical construct, that allows us to unify Newton's 3 laws as one master conservation law. This has the advantage of tracking the before-and-after conditions of a system when objects interact (collisions, explosions, etc), without caring about the details of the forces between the bodies. Apply conservation of momentum with other applicable conditions (e.g. conservation of energy), and you can predict the final state after such an event, from the condition before it.
For the low speed case, momentum is defined as the product of inertia and velocity. More precisely, it is the integral of inertia relative to velocity as a body accelerates from rest. You only need to think about this integral definition, if you are interested in the relativistic case of high speeds. For most events at the human scale, simple multiplication is good enough.
The master law that unifies Newton's 3 laws:
Sum of external forces on a system = rate of change in the total momentum of the system
Each body contributes its value of mass*velocity to the total momentum, which is added up as vectors. The only way to change this total, is for forces from outside bodies to act on something within the system. An isolated system which doesn't interact with anything else, will have its net momentum conserved.
Thanks, appreciated.
Could somebody suggest me a book in calculus with really challenging problems.
I have currently in 8th grade and doing AoPS calculus.
At some point, it will be necessary to study some analytic geometry.
The two classes are going to be fun because there is intellectual curiosity and motivation.
I am a 44 year old MD. Would love to re-learn math and physics.
Im in an engineering course, it sucks, i want to switch to cybersecurity... please advice me
lots and lots of networking and general knowledge about software
@@blackstar9481 what do you want to say?
The email was such well written, especially considered him being on 8th grade.
I just hope he didn’t write it with chatgpt😂, best Wishes Khan.
Chagpt just dropped thr biggest update with its real world math aide
I'll add: if you can't afford books or they're not available in your country it's fine to pirate them online. Don't do this if you can get them and can afford them however.
Hey Khan, if you are studying for engineering, do those math problems like your life depends on it: they will.
The hard sniff gets me every time ❤️
Jeff Bezos teaching math?!
some people say he's the inventor of khan academy
You do not understand when motivation beyond a genetic and social environment that you figured out on your own.
Bro I wasn't even a piece of dogshit in the parking lot in 8th grade lmao 😭 😭 😭 😭 props for this dude learning math and physics tho
I didn’t know Jeff Bezos teaching calculus in his free time
My name is Khan and I'm not a terrorist
I sniff books too
F’(x) = F(x)/gradient f(x) right 😂
F'(x) means gradient function of F(x), also known as derivative of F(x). I rarely hear it called a gradient in US English, but I've heard it in other dialects of English. Usually, gradient is a multivariable calculus term, and slope is what we call the single variable calculus term.
@@carultch F’(x) = f(x).
The joke i was trying to make was that the gradient of f(x) multiplied on f(x) yields F(x) so the inverse would be a solution.
The gradient of F(x) is f(x) as you have confirmed but my joke is not accurate and thank you for the reminder.
Why is this channel constantly suggesting new books of the same topic again and again? Book suggestion should take 1 or 2 video for a topic, devoting the whole channel for it is just waste
Have you tried not watching videos that you think are repetitive?
I skipped the 8th grade.
I skip grades in private school then felt white supremacy of the south.
Dude, is it so hot in there that you can't even wear a T-shirt?
Your posture is cooked
why does he keep sniffing those books?
For the knowledge that odour can bring. Some people, and I believe the Sorcerer may be one of them, have what is called synaesthesia: the gift of hearing colours, seeing sounds, and smelling words and numbers. And some old books do smell very nice.
precalculus, like "pre-algebra" is trash and should be avoided.
You look really HOT in those tanktops🙂
Please wear a shirt you epsilon divided by two 😅
Meow meow meow 😠
What ?
@@user-rp1cw6yv2e so funny . but its better put the "imog" in the reply🙂
LEARN PHYSICS AND CALCULUS!!! " already...😂😂😂"
This guy doesn't know what he's talking about. stay away.
So how u expect someone to know physics and calculus ?
Explain, please
MATH SORCERER!!!!! I JUST TURNED IN MY MULTIVARIABLE CALCULUS FINAL!!! I OFFICIALLY COMPLETED THE CALCULUS SERIES!!! THANK YOU FOR BEING SUCH AN INSPIRATION ON MY MATHEMATICAL JOURNEY!!! ON TO DIFFERENTIAL EQUATIONS!!!! FORWARD FURTHER!!!!! TOGETHER!!! 🤝🧮📈🗡️
What is your email address?