If you're ready for the actual calculus portion, then there's no better place to start than with this video here! kzread.info/dash/bejne/eJh2yJZtotOWfLg.html Thanks for the support!

@maas_ter

3 ай бұрын

👍👍

@RanBlakePiano

2 ай бұрын

I be subscribed but don’t t get notices

@Youtube_Stole_My_Handle_Too

Ай бұрын

Excellent work, Doc. You give rise to insight and fast.

I'm 15 and watching 75 year old people study calculus really motivated me. 🙏

@nagarajahshiremagalore226

Ай бұрын

I am 82 yrs watching as it is interesting.

@triple_gem_shining

Ай бұрын

Bucket list goals : learn calculus before I go 😂

@jimsimpson1006

8 сағат бұрын

Never too young to learn. Never too old to learn.

Thank you for this Dr. Ji. I am just beginning precalculus at age 74, and this clear teaching is just what i delight in.

@narrm

8 ай бұрын

I am 64 , why you begin studying on 74 , l am asking so it might be inspiring and motivating after being in pension

@williambunter3311

8 ай бұрын

@@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 Be careful about buying correspondence courses.Many of them are outdated, and it's very difficult to get hold of your supposed tutor.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.

@rodneybaker4132

8 ай бұрын

Age 75 here. Took Business Calculus in the 70’s. Long time ago, but remember loving it.

@christinecortese9973

8 ай бұрын

I’m 71 and just love learning!

@sr2291

7 ай бұрын

​@makramafify7230 I'm 72 and always wanted to take the Calculus Series. Now I have time to study math correctly.

Correction - At 22:35 of the video the exponent of 1/2 should be negative once we moved it up!

@lio-langley997

Жыл бұрын

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

@drjitutoring

10 ай бұрын

I will have more calculus videos up, hope you'll check them out too!

@simpleman283

9 ай бұрын

You should pin this comment.

@drjitutoring

9 ай бұрын

@@simpleman283 thanks!

@romualdkuciara1299

8 ай бұрын

Ya I have to admit that last bit kind of woke me up. 😅

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!

@drjitutoring

6 ай бұрын

You’re very welcome! And it is very inspiring to hear your story relearning math!

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.

@drjitutoring

8 ай бұрын

So glad to hear that!!

@David-hg5uo

5 ай бұрын

How important is knowing the unit circle and trig functions? Did they teach/re-cover that in your class?

@alizah100

Ай бұрын

@@David-hg5uosuperrr important & they typically don’t reteach. Trig has been incorporated someway into like every single unit

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.

@drjitutoring

8 ай бұрын

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.

@c_b5060

6 ай бұрын

@@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.

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.

@drjitutoring

3 ай бұрын

Thanks for the kind words! Appreciate it 🙂

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.

@zerotwosixty7416

Ай бұрын

someone told me geometry isnt rlly as important just trig and calc

@paulsccna2964

Ай бұрын

@@zerotwosixty7416 I disagree. You need to know how to solve for geometric shapes in multiple ways.

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!

@drjitutoring

6 ай бұрын

Wow, 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.

@drjitutoring

10 ай бұрын

You and me both!

@simpleman283

9 ай бұрын

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.

@Malladak

8 ай бұрын

same @@drjitutoring

@johnnystapleton165

7 ай бұрын

Me too!

@gregnixon1296

6 ай бұрын

Not having access to adequate help in school was the single thing that affected my life’s early path.

A nice list of things students should look for in a precalculus course.

Very nice, thank you. Am 75 and am just starting the ‘ math-physics’ journey.

@drjitutoring

6 ай бұрын

You got this!

@kellythomas6289

6 ай бұрын

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!

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.

I learned more in 23 minutes than an entire semester

@drjitutoring

10 ай бұрын

🙂

@Malladak

8 ай бұрын

werd @@drjitutoring

@edsteadham1605

6 ай бұрын

guess you weren't paying attention

@charlest2858

5 ай бұрын

Change your university

@Lyndanet

2 ай бұрын

The formulas are the most important part of learning calculus don’t be intimidated by them. They are really fun !

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 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!

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

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!!!

@drjitutoring

8 ай бұрын

Great suggestion!

I spend one weeks in search of this kind of video it's help me more then any playlist. Thank you so much. ❤

That's amazing! Please please continue making videos like that! You explain very well and in a clear and neat manner! Thumbs up!

@drjitutoring

8 ай бұрын

Thank you! Will do!

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.

@drjitutoring

9 ай бұрын

Glad you like the video! And thanks!

@raphaelkaume

8 ай бұрын

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.

@johnjeffreys6440

6 ай бұрын

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.

@sumittiwari7472

2 ай бұрын

Jai shree Ram ❤❤

Great video! Thank you! I’m taking cal 1 this fall and this has been great

Thanks, Chief. Wish I'd had this lecture years ago. I look forward to watching it a number of times.

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.

I hope you continue teaching math! The way you explain certainly beats the bigger channels out there.

@drjitutoring

3 ай бұрын

Thank you for your kind words! I will absolutely do so

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!

@drjitutoring

6 ай бұрын

Glad it was helpful!

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.

@drjitutoring

8 ай бұрын

Great to hear!

@jab376

8 ай бұрын

​@@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.

@alizah100

Ай бұрын

@@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

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.

@drjitutoring

6 ай бұрын

Glad it was helpful! Appreciate it

Thank you for the video. Thanks to the viewers for correcting the errors in this video.

Really glad I found this channel. I just started Calc 1 and will be following along to learn more. Great videos!!!

@drjitutoring

4 ай бұрын

Welcome aboard!

This is the single most(est), awesome(est), and great(est) video ever! Thank you! Subbed!!!!

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.

What a mind-blowing teacher you are!

@drjitutoring

4 ай бұрын

Thank you :)

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.

@drjitutoring

6 ай бұрын

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

@drjitutoring

4 ай бұрын

Thank you!

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!

@drjitutoring

6 ай бұрын

So glad to hear that 😀

Such a great channel! Keep' em coming!

@drjitutoring

4 ай бұрын

Thanks! Will do :)

Thank you so much for this video! I'm currently taking AP Calculus AB and this helped me a lot :)

@drjitutoring

10 ай бұрын

Glad to hear!

@dannuttle9005

10 ай бұрын

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.

@H3XED_OwO

10 ай бұрын

@@dannuttle9005 where did you find it when you was young?

@dannuttle9005

10 ай бұрын

@@H3XED_OwO I'm not sure what you are asking.

@H3XED_OwO

10 ай бұрын

@@dannuttle9005 what introduced you to calculus when you were young?

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.

@drjitutoring

4 ай бұрын

Awesome to hear! Completely agree with you

I can’t even begin to convey how good of a math teach you are.

@drjitutoring

Ай бұрын

Thank you :)

Dr Ji you are a true teacher. I am refreshing calc for AI journey, your videos are needed bootstrap. Thank you very much!

@drjitutoring

Ай бұрын

You're very welcome! Thank you

Absolutely amazing thank you

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.

@drjitutoring

8 ай бұрын

I agree! It is interesting, too!

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!

Can't thank you enough. This is just what I have been looking for.

@drjitutoring

10 ай бұрын

Glad I could help!

Great presentation, love the language: "..take one entire function and SHOVE it into where the X is..." ❤

@drjitutoring

8 ай бұрын

Glad you like it!!

This was a very helpful video. Thank you!

@drjitutoring

10 ай бұрын

Glad it was helpful!

That covered a lot of concepts and ground :-)

Great video Dr. Ji. Makes me want to revisit my calculus journey of 30 years ago.

@drjitutoring

Ай бұрын

You should!

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

@drjitutoring

Ай бұрын

I think I made that connection too when I started to learn computer programming (Python)!

Thank you for posting this helpful video

@drjitutoring

6 ай бұрын

Glad it was helpful!

Outstanding job!

@drjitutoring

7 ай бұрын

Thank you very 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!

@drjitutoring

7 ай бұрын

Wow, thanks!

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... 🤗👍🏾👍🏾👍🏾

@drjitutoring

3 ай бұрын

You got this!

Thank you sir I hope you have tutorials in differential calculus thank you I learned a new things again

@drjitutoring

7 ай бұрын

You are welcome!

WOW! Excellent! Thank you sir..

@drjitutoring

8 ай бұрын

Glad you like it!

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.

@drjitutoring

4 ай бұрын

Glad to hear it!

@markswaya6744

Ай бұрын

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" = .....

@drjitutoring

Ай бұрын

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

@wodeyaeric5351

Ай бұрын

​@@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.

Hey Dr Ji, I loved this video! Is it possible if you can make a few calculus 2 videos before the end of the year?

@drjitutoring

8 ай бұрын

Yes, definitely

Thank you! This is all I need to catch up on Calc. Could you also review log and ln please? I’m struggling so hard with that topic 😅

@drjitutoring

8 ай бұрын

Great suggestion!

Please do more videos like this

Incredibly helpful! Thank you

@drjitutoring

6 ай бұрын

Glad it was helpful!

Dr Ji, thank you very much for all of your efforts!

@drjitutoring

3 ай бұрын

You're very welcome!

Incredible video! Very useful and right on the money! Thank you sir, you are a fantastic teacher!

Thank you so much sir.I am studying class 10.I was always eager to know how to start learning calculus.FINALLY!!

@drjitutoring

10 ай бұрын

You are most welcome

Thank u this video across on mine that like to learn calculus as begginer❤i think this is best ive seen detailed thkns sir

nice topic DR !

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!!!

Some of these really helped me in my class yesterday, thanks you!!!

@drjitutoring

Ай бұрын

I'm so glad!

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.

I really loved your video !! it was so fun... keep going Dr Ji!

@drjitutoring

2 ай бұрын

Glad you liked it!!

Love it! 🙏🏻 Is there a video that follows on from this one?

@drjitutoring

8 ай бұрын

Coming soon!

I learnt more in this then I did in my whole semester.

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 * x > 0, y = 0; and * x = 0, y = ±∞ What function will have as its derivative this set of values?

This was outrageously helpful.

@drjitutoring

4 ай бұрын

I am outrageously glad :)

Excellent!

@drjitutoring

9 ай бұрын

Glad you liked it!

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

@drjitutoring

6 ай бұрын

Glad to hear it!

Amazing session! 👏

@drjitutoring

2 ай бұрын

Thank you 😀

Great work Dr Ji

@drjitutoring

Ай бұрын

Thank you!

Thank you!

Just found this channel excellent

I really could have used this information 40 years ago in college. Thank you for showing how (not mysterious) math is).

thank you dr ji! i instantly got 101% in calculus now

@drjitutoring

4 ай бұрын

Are you giving me credit for that 1%?

Excellent idea.

@drjitutoring

7 ай бұрын

Thank you! Cheers!

Thank You. You are awesome explainer.

@drjitutoring

10 ай бұрын

So nice of you

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?

@drjitutoring

8 ай бұрын

Yes, it should! I have the error pinned in comments 😁

@theentrepreneur607

5 ай бұрын

Dr, you think learning these five concepts will prepare Someone for calculus? Anything else you’ll recommend?

really fantastic way of explanation... we require more from you regarding fourier series, and laplace transformation etc. thank you

@drjitutoring

4 ай бұрын

Thank you, I will

Best video ever 🙌

Great video!

Nice tutorial... learned a lot :)

@drjitutoring

8 ай бұрын

Glad to hear that!

I wish this existed when I was doing calculus back in the 80's lol!

Great video brother

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)..."

@drjitutoring

6 ай бұрын

Love it!

To me, this video is like a guidance counselor. I'm not quite there yet, but now I know a little more of what to pay close attention to. 👍

@drjitutoring

9 ай бұрын

Glad it was helpful!

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! ☺️

@drjitutoring

3 ай бұрын

Thank yo for the kind words! Appreciate it :)

I thought this was going to be about concepts such as definition of a function, continuity, slope, maybe area under a curve, and something I was waiting to find out.

@drjitutoring

6 ай бұрын

That will be in another video

Awesome video! Great teacher!👍

@drjitutoring

6 ай бұрын

Thank you! 😃

why this guys only has 6k subscribers he deserves more !

@drjitutoring

6 ай бұрын

🙏🙏

thank you