If you're ready for the actual calculus portion, then there's no better place to start than with this video here! ruclips.net/video/FdBf44rp0LU/видео.html Thanks for the support!
Dr. Ji. thanks for just getting down to business on these introductory concepts to Calculus! You cut to the chase - concise, straight forward - to the point!! thanks
22:35 Sir I really appreciate you efforts and it also helped me a lot to start with calculs but in the last example it would be to the power -1/2 at the end of the sum.... Thank you for making this video...
@@narrm I have studied various subjects over the years and, by God's grace, intend to continue studying as long as I am able to, right up to my dying day I have studied the bible for forty five years, and am still discovering its treasures all the time. I have also studied, among other subjects, anatomy & physiology, and a couple of years ago I did a short course on the British Empire with Oxford University. I recommend the Oxford University distance-learning short courses. They are inexpensive yet thorough, and they really look after their distance-learning students, and provide many great extras, and a student chat room which means you are never isolated in your learning. Oxford offer a wide range of different subjects. And excellent, dedicated tutors. Be careful about buying correspondence courses.Many of them are outdated, and it's very difficult to get hold of your supposed tutor. They are a rip-off. A great number of companies that sell distance-learning courses are very dishonest, and you are far better of just buying a good text book or two. At present I'm studying Physics and Maths, and it's like looking at the world with new eyes! We can see God's hand in so many things around us, such as in the laws of physics. There are few joys greater than learning, and I wish you well in your endeavours. By the way, if you are retired you will have the luxury of more time to study, and you can choose your own study times. God bless you.
Genius!! So many calculus videos assume previous knowledge. You've opened it up to people who don't have time to do uni but want a crash course on something interesting. Short and sweet, super easy to follow, well done.
I was about to comment about that!! lol I came across your video randomly in hopes to gain queues prior to taking a form of calculus for my degree. The idea of calculus makes sense to me, I understand the reasoning behind it all i just need the process knowledge
If anyone reads this i highly recommend watching this twice: before and 2-4 weeks into calculus. I’m taking calculus right now and this helps connect of uncertainties for me. Ty.
After taking Calc, I'd suggest adding more trig stuff. Knowing your unit circle and its points and actually understanding how trig functions are related to each other is really important. Right after that would be a lot of the algebraic manipulation covered here.
Completely agree! For this video I just focused on the more general skills of math that greatly helps with learning calculus, whereas trig background knowledge only helps when dealing with trig-related topics in calculus.
@@drjitutoring Years ago I was told (incorrectly) that a person must learn trig in order to do calculus. Sometime later I learned that students in the Humanities use calculus but not trig. Your statement here clarifies my understanding that trig is not needed unless one is doing engineering type problems.
I had a brain injury and am just restarting math after practicing law 30 years and having had a strong math background going into college 40 years. Dr Ji you are an excellent teacher. I’ve watched countless videos to try to reteach myself on the transition to calculus so I can try to master it with my rewired brain. You are superb. Thank you!
@@BenFerrosstats and chem are def not the same as trig, geo, and algebra. not saying you won’t be prepared. I have no idea your math enjoyment or understanding
I am an algebra teacher and I am impressed with the high quality of this video. You're clear, thorough, and unhurried! You've given me a model and target to aim for! Well done!
Okay. He has gift. He can teach without inflicting pain. Haven't looked at this stuff for 40 yes and answered questions I didn't even know I had. Good job
Needed a refresher and this is by far one of the best explanations of most of the recurring concepts in calculus! Other videos just weren't as intuitive and I'm surprised this isn't more popular in the search results. You have a great sense for what needs to be explained right away, and what someone will learn through practice.
I agree completely. Just stumbled onto Dr Ji's video and his explainer is just what i've always needed, there's something special here, he seems to know just where the good student trips up by gaps in prior knowledge. so good. i'm grateful. Yes he will definitely help a huge number.
I took this in high school and was clueless. Lots of emotions in those days about life, etc., so wanting to learn this was absent. I think teachers should create scenarios where using these equations fits everyday life. At least students would be a little more understanding.
This is the most simple, quick, to the point, informative video I have ever come across for calculus. I would LOVE if you made a Calc B, C, and D versions of these kinds of videos. Subscribed!!!
Something I decided to try to see if it worked, was to "sound out" or phrase a function or an equation that is unfamiliar, like reading a sentence. This was to aid in both making sense of the function and to remember it. It does help in learning.
This is great - I've spent weeks and weeks watching pre-cal videos to prep for college and in these 25 minutes I've grasp these concepts better than I've been able to since.
@@drjitutoringhow can someone look at a drawn graph of a function and instantly guess the equation that was used to plot that graph. Quickly. Please kindly make video of it.
This was so helpful as a refresher before uni. I’ve always found maths hard because teachers over complicated things and didn’t properly explain their relationships to one another. This cleared up so many concepts I’ve been stuck on, thank you!
I could say the same thing, but looking at it mow as a total & I'm still satisfied. I would not go back & change it. Studying now after the fact, it is fun, without the pressure.
I attempted calculus in University many years ago and I have never to my knowledge heard a more simple explanation of what F(x) means. thank-you so much.
If "F(x)" is the same as "Y", why is it necessary to complicate the equation by changing the nomenclature from the simple "Y =" to the more complicated concept "F(x) =" ? Perhaps it would be better to just simplifiy the equation by using "Y" = .....
It's a valid point - however there are good reasons as to why both "Y" and "f(x)" are used. For example, when finding the inverse of functions, it is much simpler to use 'y" and "x" as we can easily swap them and isolate for the desired variable. But if I wanted to know the output of a function when the input, or x, value is 4, then I can denote it using function notation as f(4). Can't do that with y. We also use f(x) as a general name for any function, but calling a function "y" would seem misleading as we associate 'y" as 1 of the coordinates in a coordinate pair of (x,y). @@markswaya6744
@@drjitutoringjust wrapping one's head around f(x) makes the entry into calculus very difficult. Yet, unless one does, one can't proceed to understand the rest of calculus. It is like building a house without a foundation. Keep going Dr. Ji.
Thank you so much for this video. This has greatly helped my understanding in Calculus. I cannot stress how lost I was in my college Calculus 1 class, looking at the board and being absolutely confused. You are a godsend... I hope your channel blows up and you succeed!
How do (or did) you find calculus, if you don't mind my asking? When I was young, I found it somewhat interesting. Many years later, I found it to be one of the most fascinating topics I have ever studied. Is it just a subject you need to pass? Is it a fascination? Or somewhere in between? In my case, I think the reason I found it so much more interesting when I was old is that I actually absorbed concepts, mastered them, rather than learned "tricks" to solve problems.
Thank you very much. As a fellow math educator, this is an excellent way to expand upon what the slogan we give at the beginning of each Calculus section -"If your Algebra sucks, then your Calculus will suck (worse)... If your Trigonometry suck, then your Calculus sucks (worse)..."
Finally someone who explained some maths concepts that I'm able to understand. Thank you for this. I'm attempting to learn linear algebra which apparently is very simple but I have been going backwards through all the things I need to learn before I start learning that and I think this is a brilliant prequel to the single variable algebra I need to learn before linear apparently.
I recommend to students who are going to take calculus to watch and learn from this yt video as well as teachers who are going to teach calculus to have this as an initial lesson during their first meeting.
Completely knocked out by the clarity and the way this presented. Such as great job Dr. Ji I wish I had an instructor like you when I was in school. Glad I found your channel. Subscribing. Thank you.
hello Dr. Ji the last example where you had to remove the fraction 2/ (x^2 + 2x)^1/2 should it be 2( x^2 + 2x)^ -1/2 cause you left the power positive when you moved it from being the denominator up to the numerator of the fraction
I started watching out of curiosity; I liked your simple explanation so I stayed to the end! No plan in retaking calculus after over 25 years but I saved your video so I can show my young son when he goes to college! Thank you!
Really recommend watching this, I watched some of a precalculus course video before this and he mentioned majority of the concepts I seen in that video
You just helped me make mathematical connections with what I learned in my programming class! f(x) is literally a function with a parameter of variable x going in as its argument. And the equation is the functions contents/an algorithm to do something
EXCUSE ME. I just grasped everything you taught me in this 23 minute video way more easily than I did in an entire semester of precalc my freshman year during covid! I'm in my final year and getting ready to take an accelerated calc 1 course that isn't required for my undergrad degree (but highly recommended for grad school) and I think I've come to the right place!
I started trigonometry very suddenly towards the end of middle school and I had a hard time with that, so I studied for a few months and got pretty good at it but I was never put in pre calc so I knew some trig but barely any pre-calculus. but now that I'm in 9th grade I'm doing pre-calculus. I am having a hard time with that too. this video in the beginning was VERY, VERY helpful. after the first concept things got out of my field. I'm very grateful for even that chunk... 🤗👍🏾👍🏾👍🏾
Such clarity and simplicity. I love it. As a retired college professor, I truly enjoy learning from other educators. BUT I have a question... QUESTION: I've been trying to remember an equation from first-year calculus class. All I remember is that the derivative produced the set of all values of x, where, * x < 0, y = 0; * x > 0, y = 0; and * x = 0, y = ±∞ What function will have as its derivative this set of values?
I had such a difficult time with math in high school and college. I rarely enjoyed it because I always felt great pressure to pass the classes so that I could advance in my degree. Thus, I always felt a sort of math phobia and the belief that I was not a “math person” and more a humanities kind of student. Years later I find myself independently learning computer programming and mathematics. I must say I feel a love for math slowly kindling inside me. I can slowly feel my brain changing and learning to thing more logically. It even seems to be reducing my chronic brain fog. Even though I struggle with many concepts, I know that if I just keep going, I’ll eventually learn something new and make another step toward my goals. Thank you for your videos Ji. P.S. I think few people are naturally math people. Math is able to be learned by anyone who applies themself and stats consistent. Like any skill, math can be learned and can even become a passion.
This is a very useful framework for calculus students! Gr8 job 👌🏼. I'd like to point out that, at 22:36 there is a notational error! The fraction, when brought to the numerator, shd hv a -ve power, is it not? Pl insert a corrective note at this point, so diligent students are not confused. Thanks!
@@drjitutoring yes! I noted later that you've put a note in the comments. I'd recommend that a note be inserted in the main video itself! It's a common practice, I believe.
In stats we call the dependent variable the y variable. Just because it can be confusing to say that one thing is dependent on the other when the opposite could be true. I'm sure you use the terms interchangeably...
Might have been a slip of the tongue, but I'm pretty sure I called the Y variable the dependent variable every single time, as it is the widely accepted standard.
@drjitutoring sounds about right. Personally having the idea of a dependent variable sometimes anchors people to the one column. I like y variate because anything can be y
I have coached my kids that went on to science and engineering and other kids... My Advice has always been to Learn Algebra and Trig backwards and forwards I mean study like hell till it is all at your fingertips then Calculus is a snap!!!
I'm 48 and self study programming about 7 year ago, didn't go to college just some bootcamps, in my high school I dropped in half way. Right now I'm studying at Khanacademy, all of these courses: Arithmetics (almost done lol), Basic Algebra (70%done doing that course got me some percent in Algebra I as well aobut 30% already), after that will come some geometry, trigonometry, precalculus, College Algebra this can be a repetition but I want to do it because I have to refresh my mind, then Stadidists, probability, then Calculus AB and BC, doing so many hours during the day and i hope I can able to understand math well, to be able to learn how to program and do algos models in AI, I love math now I've used to hate it but this is a miracle make by God I told God all days that let me give me some knowledge in math and now I love Math, I'm from Bogota Colombia and English is not my native language but I love it too indeed thank you Dr. Ji beatiful video.
Thank you so much! Currently doing a mathematics course for my Masters degree in Data Science and this helped a lot to figure out what concepts I had forgotten as I haven't touched math in 3-4 years and completely forgot most of this stuff.
For myself, Calculus and Def Q was easy. As a straight A Calculus student, one needs to know their Algebra and Trigonometry like the back of their hand. Most people dropped out because they did not understand their trigonometry and algebra.
I've had a hard time studying functions. I can't explain so well in that time but I thought it's a weird way to use the equal signal. Some time after I begin to code in Pascal and the distinction between assign a value to a variable (in pascal ":=") and compare two values ("=") makes it much more sense. Today I can understand don't have this distinction in math.
If you're ready for the actual calculus portion, then there's no better place to start than with this video here!
ruclips.net/video/FdBf44rp0LU/видео.html
Thanks for the support!
👍👍
I be subscribed but don’t t get notices
Excellent work, Doc. You give rise to insight and fast.
Dr. Ji. thanks for just getting down to business on these introductory concepts to Calculus! You cut to the chase - concise, straight forward - to the point!! thanks
22:35 Sir I really appreciate you efforts and it also helped me a lot to start with calculs but in the last example it would be to the power -1/2 at the end of the sum....
Thank you for making this video...
I'm 15 and watching 75 year old people study calculus really motivated me. 🙏
I am 82 yrs watching as it is interesting.
Bucket list goals : learn calculus before I go 😂
Never too young to learn.
Never too old to learn.
Age is just a number ...dear
@@jimsimpson1006 true that
Thank you for this Dr. Ji. I am just beginning precalculus at age 74, and this clear teaching is just what i delight in.
I am 64 , why you begin studying on 74 , l am asking so it might be inspiring and motivating after being in pension
@@narrm I have studied various subjects over the years and, by God's grace, intend to continue studying as long as I am able to, right up to my dying day
I have studied the bible for forty five years, and am still discovering its treasures all the time. I have also studied, among other subjects, anatomy & physiology, and a couple of years ago I did a short course on the British Empire with Oxford University. I recommend the Oxford University distance-learning short courses. They are inexpensive yet thorough, and they really look after their distance-learning students, and provide many great extras, and a student chat room which means you are never isolated in your learning. Oxford offer a wide range of different subjects. And excellent, dedicated tutors.
Be careful about buying correspondence courses.Many of them are outdated, and it's very difficult to get hold of your supposed tutor. They are a rip-off. A great number of companies that sell distance-learning courses are very dishonest, and you are far better of just buying a good text book or two.
At present I'm studying Physics and Maths, and it's like looking at the world with new eyes! We can see God's hand in so many things around us, such as in the laws of physics.
There are few joys greater than learning, and I wish you well in your endeavours. By the way, if you are retired you will have the luxury of more time to study, and you can choose your own study times. God bless you.
Age 75 here. Took Business Calculus in the 70’s. Long time ago, but remember loving it.
I’m 71 and just love learning!
@makramafify7230 I'm 72 and always wanted to take the Calculus Series. Now I have time to study math correctly.
Genius!! So many calculus videos assume previous knowledge. You've opened it up to people who don't have time to do uni but want a crash course on something interesting. Short and sweet, super easy to follow, well done.
Thanks for the kind words! Appreciate it 🙂
Correction - At 22:35 of the video the exponent of 1/2 should be negative once we moved it up!
I was about to comment about that!! lol I came across your video randomly in hopes to gain queues prior to taking a form of calculus for my degree. The idea of calculus makes sense to me, I understand the reasoning behind it all i just need the process knowledge
I will have more calculus videos up, hope you'll check them out too!
You should pin this comment.
@@simpleman283 thanks!
Ya I have to admit that last bit kind of woke me up. 😅
If anyone reads this i highly recommend watching this twice: before and 2-4 weeks into calculus. I’m taking calculus right now and this helps connect of uncertainties for me. Ty.
So glad to hear that!!
How important is knowing the unit circle and trig functions? Did they teach/re-cover that in your class?
@@David-hg5uosuperrr important & they typically don’t reteach. Trig has been incorporated someway into like every single unit
I agree, I’m 4 weeks into calculus and wishing I had seen this sooner !! Super useful
@@nouvelle2000me tooo😭
After taking Calc, I'd suggest adding more trig stuff. Knowing your unit circle and its points and actually understanding how trig functions are related to each other is really important. Right after that would be a lot of the algebraic manipulation covered here.
Completely agree! For this video I just focused on the more general skills of math that greatly helps with learning calculus, whereas trig background knowledge only helps when dealing with trig-related topics in calculus.
@@drjitutoring Years ago I was told (incorrectly) that a person must learn trig in order to do calculus. Sometime later I learned that students in the Humanities use calculus but not trig. Your statement here clarifies my understanding that trig is not needed unless one is doing engineering type problems.
I had a brain injury and am just restarting math after practicing law 30 years and having had a strong math background going into college 40 years. Dr Ji you are an excellent teacher. I’ve watched countless videos to try to reteach myself on the transition to calculus so I can try to master it with my rewired brain. You are superb. Thank you!
You’re very welcome! And it is very inspiring to hear your story relearning math!
The three pillars of Calculus, are Algebra, Trigonometry and Geometry. My advice is make sure your skills in each of these areas are ready for calc.
someone told me geometry isnt rlly as important just trig and calc
@@zerotwosixty7416 I disagree. You need to know how to solve for geometric shapes in multiple ways.
what about a year of chem and a stats course. 💀about to transfer to uni from cc and im trying to prepare myself!
@@BenFerrosstats and chem are def not the same as trig, geo, and algebra. not saying you won’t be prepared. I have no idea your math enjoyment or understanding
@@karasmills3415 updatte i forsure got a B and maybe an A LOL
I am an algebra teacher and I am impressed with the high quality of this video. You're clear, thorough, and unhurried! You've given me a model and target to aim for! Well done!
Wow, thank you!
Very nice, thank you. Am 75 and am just starting the ‘ math-physics’ journey.
You got this!
I just started my physics journey! Good luck. ♾️😵💫
I don"t know why my math teachers did not explain things like you do. You are a good teacher, Dr. Ji!
Okay. He has gift. He can teach without inflicting pain. Haven't looked at this stuff for 40 yes and answered questions I didn't even know I had. Good job
Needed a refresher and this is by far one of the best explanations of most of the recurring concepts in calculus! Other videos just weren't as intuitive and I'm surprised this isn't more popular in the search results. You have a great sense for what needs to be explained right away, and what someone will learn through practice.
Glad you like the video! And thanks!
I agree completely. Just stumbled onto Dr Ji's video and his explainer is just what i've always needed, there's something special here, he seems to know just where the good student trips up by gaps in prior knowledge. so good. i'm grateful. Yes he will definitely help a huge number.
I took this in high school and was clueless. Lots of emotions in those days about life, etc., so wanting to learn this was absent.
I think teachers should create scenarios where using these equations fits everyday life. At least students would be a little more understanding.
Jai shree Ram ❤❤
This is the most simple, quick, to the point, informative video I have ever come across for calculus. I would LOVE if you made a Calc B, C, and D versions of these kinds of videos. Subscribed!!!
Great suggestion!
Something I decided to try to see if it worked, was to "sound out" or phrase a function or an equation that is unfamiliar, like reading a sentence. This was to aid in both making sense of the function and to remember it. It does help in learning.
This is great - I've spent weeks and weeks watching pre-cal videos to prep for college and in these 25 minutes I've grasp these concepts better than I've been able to since.
Great to hear!
@@drjitutoringhow can someone look at a drawn graph of a function and instantly guess the equation that was used to plot that graph. Quickly. Please kindly make video of it.
@@jab376what I do is just study parent functions and then look at the general shape, and then delve into things like y and x intercepts
I hope you continue teaching math! The way you explain certainly beats the bigger channels out there.
Thank you for your kind words! I will absolutely do so
This was so helpful as a refresher before uni. I’ve always found maths hard because teachers over complicated things and didn’t properly explain their relationships to one another. This cleared up so many concepts I’ve been stuck on, thank you!
My life would have gone in a very different direction if I had had learning resources like this in high school and college.
You and me both!
I could say the same thing, but looking at it mow as a total
& I'm still satisfied. I would not go back & change it.
Studying now after the fact, it is fun, without the pressure.
same
@@drjitutoring
Me too!
Not having access to adequate help in school was the single thing that affected my life’s early path.
I can’t even begin to convey how good of a math teach you are.
Thank you :)
I attempted calculus in University many years ago and I have never to my knowledge heard a more simple explanation of what F(x) means. thank-you so much.
Glad to hear it!
If "F(x)" is the same as "Y", why is it necessary to complicate the equation by changing the nomenclature from the simple "Y =" to the more complicated concept "F(x) =" ? Perhaps it would be better to just simplifiy the equation by using "Y" = .....
It's a valid point - however there are good reasons as to why both "Y" and "f(x)" are used. For example, when finding the inverse of functions, it is much simpler to use 'y" and "x" as we can easily swap them and isolate for the desired variable. But if I wanted to know the output of a function when the input, or x, value is 4, then I can denote it using function notation as f(4). Can't do that with y. We also use f(x) as a general name for any function, but calling a function "y" would seem misleading as we associate 'y" as 1 of the coordinates in a coordinate pair of (x,y). @@markswaya6744
@@drjitutoringjust wrapping one's head around f(x) makes the entry into calculus very difficult. Yet, unless one does, one can't proceed to understand the rest of calculus. It is like building a house without a foundation. Keep going Dr. Ji.
A nice list of things students should look for in a precalculus course.
Dr. Ji does an excellent job breaking down the key concepts needed for a smooth transition into calculus-clear explanations with practical examples!
For those that care, there is an error at 22:36. The 1/2 exponent should be negative, -1/2, once the fraction has been inverted.
You're right, the correction is in the description box as well as in the comments :)
thanks mate I was so confused..
Thank you for the video. Thanks to the viewers for correcting the errors in this video.
Dr Ji you are a true teacher. I am refreshing calc for AI journey, your videos are needed bootstrap. Thank you very much!
You're very welcome! Thank you
Thanks, Chief. Wish I'd had this lecture years ago. I look forward to watching it a number of times.
You're very welcome!
0:52 Function Notation
8:22 Linear Function
11:57 Exponents
14:49 Domain Range
17:23 Composite Functions
What a mind-blowing teacher you are!
Thank you :)
Thank you so much for this video. This has greatly helped my understanding in Calculus. I cannot stress how lost I was in my college Calculus 1 class, looking at the board and being absolutely confused. You are a godsend... I hope your channel blows up and you succeed!
This was a very helpful video. Thank you!
Glad it was helpful!
Great video Dr. Ji. Makes me want to revisit my calculus journey of 30 years ago.
You should!
Really glad I found this channel. I just started Calc 1 and will be following along to learn more. Great videos!!!
Welcome aboard!
Trying to go into Biostatistics and haven't had calculus in over 10 years. Thank you SO much!
Thank you so much for this video! I'm currently taking AP Calculus AB and this helped me a lot :)
Glad to hear!
How do (or did) you find calculus, if you don't mind my asking? When I was young, I found it somewhat interesting. Many years later, I found it to be one of the most fascinating topics I have ever studied. Is it just a subject you need to pass? Is it a fascination? Or somewhere in between? In my case, I think the reason I found it so much more interesting when I was old is that I actually absorbed concepts, mastered them, rather than learned "tricks" to solve problems.
@@dannuttle9005 where did you find it when you was young?
@@H3XED_OwO I'm not sure what you are asking.
@@dannuttle9005 what introduced you to calculus when you were young?
Thank you very much. As a fellow math educator, this is an excellent way to expand upon what the slogan we give at the beginning of each Calculus section -"If your Algebra sucks, then your Calculus will suck (worse)... If your Trigonometry suck, then your Calculus sucks (worse)..."
Love it!
Finally someone who explained some maths concepts that I'm able to understand. Thank you for this. I'm attempting to learn linear algebra which apparently is very simple but I have been going backwards through all the things I need to learn before I start learning that and I think this is a brilliant prequel to the single variable algebra I need to learn before linear apparently.
Glad it was helpful!
That's amazing! Please please continue making videos like that! You explain very well and in a clear and neat manner! Thumbs up!
Thank you! Will do!
I recommend to students who are going to take calculus to watch and learn from this yt video as well as teachers who are going to teach calculus to have this as an initial lesson during their first meeting.
Very refreshing! I don't blame myself for not having grasped most of this stuff back in high school, my teachers just weren't like @Dr Ji!
So glad to hear that 😀
Completely knocked out by the clarity and the way this presented. Such as great job Dr. Ji I wish I had an instructor like you when I was in school. Glad I found your channel. Subscribing. Thank you.
Glad it was helpful! Appreciate it
hello Dr. Ji the last example where you had to remove the fraction 2/ (x^2 + 2x)^1/2 should it be 2( x^2 + 2x)^ -1/2 cause you left the power positive when you moved it from being the denominator up to the numerator of the fraction
Thank you for pointing that out!
good catch.
Came across this video on my feed
Wish my hs teacher was this CLEAR and CONCISE
I’ll study calculus on my own one day like those in the comments
Glad to hear it!
I started watching out of curiosity; I liked your simple explanation so I stayed to the end! No plan in retaking calculus after over 25 years but I saved your video so I can show my young son when he goes to college! Thank you!
Glad it was helpful!
Really recommend watching this, I watched some of a precalculus course video before this and he mentioned majority of the concepts I seen in that video
Thank you!
You just helped me make mathematical connections with what I learned in my programming class! f(x) is literally a function with a parameter of variable x going in as its argument. And the equation is the functions contents/an algorithm to do something
I think I made that connection too when I started to learn computer programming (Python)!
At 22:40 in regards to creating functions from the log equation. Is this the only way to do it? Or could it also be:
f(x) = log(x)^3 g(x) = 2x
Absolutely!
Amazing session! 👏
Thank you 😀
Great presentation, love the language: "..take one entire function and SHOVE it into where the X is..." ❤
Glad you like it!!
Thank you so much! I am starting precalc this week at the age of 85 I can do it!
EXCUSE ME. I just grasped everything you taught me in this 23 minute video way more easily than I did in an entire semester of precalc my freshman year during covid! I'm in my final year and getting ready to take an accelerated calc 1 course that isn't required for my undergrad degree (but highly recommended for grad school) and I think I've come to the right place!
I'm so glad it helped!
I think the history of calculus is very important for every student and I haven't seen much if any classes ever talking about it.
I agree! It is interesting, too!
I started trigonometry very suddenly towards the end of middle school and I had a hard time with that, so I studied for a few months and got pretty good at it but I was never put in pre calc so I knew some trig but barely any pre-calculus. but now that I'm in 9th grade I'm doing pre-calculus. I am having a hard time with that too. this video in the beginning was VERY, VERY helpful. after the first concept things got out of my field. I'm very grateful for even that chunk... 🤗👍🏾👍🏾👍🏾
You got this!
Dr Ji, thank you very much for all of your efforts!
You're very welcome!
Some of these really helped me in my class yesterday, thanks you!!!
I'm so glad!
Such clarity and simplicity. I love it. As a retired college professor, I truly enjoy learning from other educators. BUT I have a question...
QUESTION:
I've been trying to remember an equation from first-year calculus class.
All I remember is that the derivative produced the set of all values of x, where,
* x < 0, y = 0;
* x > 0, y = 0; and
* x = 0, y = ±∞
What function will have as its derivative this set of values?
Can't thank you enough. This is just what I have been looking for.
Glad I could help!
22:51 In the last example did you drop a minus sign? I think it should that have been (x^2 +2x) ^ (-1/2) , right?
Yep, error pinned in comments!
Excellent video!
Thank you very much!
Thank you Dr. I learnt a ton. I'm wondering if there might be a mistake in the last example. Should the final function not show power of -1/2?
Yes, it should! I have the error pinned in comments 😁
Dr, you think learning these five concepts will prepare Someone for calculus? Anything else you’ll recommend?
Thank you sir I hope you have tutorials in differential calculus thank you I learned a new things again
You are welcome!
thank you, you explained stuff so well. I'm already in calc and thought I was cooked, but there is hope
Thanks so much Dr. This video is absolutely helpful. However, I think in the end of it, the power is negative a half not positive a half.
Thank you! And yes, you're absolutely correct. The correction is in the comments section. Thanks again!
really fantastic way of explanation... we require more from you regarding fourier series, and laplace transformation etc. thank you
Thank you, I will
This video really simplified a tough concept for me!
I had such a difficult time with math in high school and college. I rarely enjoyed it because I always felt great pressure to pass the classes so that I could advance in my degree. Thus, I always felt a sort of math phobia and the belief that I was not a “math person” and more a humanities kind of student.
Years later I find myself independently learning computer programming and mathematics. I must say I feel a love for math slowly kindling inside me. I can slowly feel my brain changing and learning to thing more logically. It even seems to be reducing my chronic brain fog. Even though I struggle with many concepts, I know that if I just keep going, I’ll eventually learn something new and make another step toward my goals. Thank you for your videos Ji.
P.S. I think few people are naturally math people. Math is able to be learned by anyone who applies themself and stats consistent. Like any skill, math can be learned and can even become a passion.
Awesome to hear! Completely agree with you
Thanks
Thank you so much!
This is way better than Khan Academy , you have a good way of explaining things, you're on to something with this channel.
Please keep'em coming!
Wow, thanks!
I spend one weeks in search of this kind of video it's help me more then any playlist.
Thank you so much. ❤
13:12 hmm calculating the coefficients for the fourier series terms we come across such things as GCF for the exponents
esp. with the fundamental frequency in multiples of π
Or even just doing limits at infinity questions in differential calculus!
Incredibly helpful! Thank you
Glad it was helpful!
thnx man! am 102 and just started calculus thank u again.
This is the single most(est), awesome(est), and great(est) video ever! Thank you! Subbed!!!!
Thank you so much sir.I am studying class 10.I was always eager to know how to start learning calculus.FINALLY!!
You are most welcome
Such a great channel! Keep' em coming!
Thanks! Will do :)
Incredible video! Very useful and right on the money! Thank you sir, you are a fantastic teacher!
I really loved your video !! it was so fun... keep going Dr Ji!
Glad you liked it!!
I would’ve thrived in math if only I had this level of knowledge and explanation, so clear and easy to follow, thank you for your patience! ☺️
Thank yo for the kind words! Appreciate it :)
This is a very useful framework for calculus students! Gr8 job 👌🏼. I'd like to point out that, at 22:36 there is a notational error! The fraction, when brought to the numerator, shd hv a -ve power, is it not?
Pl insert a corrective note at this point, so diligent students are not confused. Thanks!
Thank you for pointing it out! I’ve pinned the correction already 😁
@@drjitutoring yes! I noted later that you've put a note in the comments. I'd recommend that a note be inserted in the main video itself! It's a common practice, I believe.
@22:22 Correction: Exponent should be -1/2
Yep, pinned in comments section!
In stats we call the dependent variable the y variable. Just because it can be confusing to say that one thing is dependent on the other when the opposite could be true. I'm sure you use the terms interchangeably...
Might have been a slip of the tongue, but I'm pretty sure I called the Y variable the dependent variable every single time, as it is the widely accepted standard.
@drjitutoring sounds about right. Personally having the idea of a dependent variable sometimes anchors people to the one column. I like y variate because anything can be y
Thank you Sire for your lucid explanation. Love and regarding from India, Dr Ji. May prosperity attend you always
Thank you so much!
This was outrageously helpful.
I am outrageously glad :)
I have coached my kids that went on to science and engineering and other kids... My Advice has always been to Learn Algebra and Trig backwards and forwards I mean study like hell till it is all at your fingertips then Calculus is a snap!!!
I'm 48 and self study programming about 7 year ago, didn't go to college just some bootcamps, in my high school I dropped in half way. Right now I'm studying at Khanacademy, all of these courses: Arithmetics (almost done lol), Basic Algebra (70%done doing that course got me some percent in Algebra I as well aobut 30% already), after that will come some geometry, trigonometry, precalculus, College Algebra this can be a repetition but I want to do it because I have to refresh my mind, then Stadidists, probability, then Calculus AB and BC, doing so many hours during the day and i hope I can able to understand math well, to be able to learn how to program and do algos models in AI, I love math now I've used to hate it but this is a miracle make by God I told God all days that let me give me some knowledge in math and now I love Math, I'm from Bogota Colombia and English is not my native language but I love it too indeed thank you Dr. Ji beatiful video.
That's great to hear! All the best in your math journey!
Thank You. You are awesome explainer.
So nice of you
Awesome video! Great teacher!👍
Thank you! 😃
lol 21:40 is func-ception. Thank you so much Dr. Ji, you're amazing at teaching I wish you were my teacher for every math class I took.
Thank you! 😃
Thank you so much! Currently doing a mathematics course for my Masters degree in Data Science and this helped a lot to figure out what concepts I had forgotten as I haven't touched math in 3-4 years and completely forgot most of this stuff.
Glad it was helpful!
Thank you for posting this helpful video
Glad it was helpful!
nice topic DR !
Outstanding job!
Thank you very much!
Great video! Thank you! I’m taking cal 1 this fall and this has been great
WOW! Excellent! Thank you sir..
Glad you like it!
Thank u this video across on mine that like to learn calculus as begginer❤i think this is best ive seen detailed thkns sir
Love it! 🙏🏻
Is there a video that follows on from this one?
Coming soon!
For myself, Calculus and Def Q was easy. As a straight A Calculus student, one needs to know their Algebra and Trigonometry like the back of their hand. Most people dropped out because they did not understand their trigonometry and algebra.
I've had a hard time studying functions. I can't explain so well in that time but I thought it's a weird way to use the equal signal. Some time after I begin to code in Pascal and the distinction between assign a value to a variable (in pascal ":=") and compare two values ("=") makes it much more sense.
Today I can understand don't have this distinction in math.
Great work Dr Ji
Thank you!