Ch. 13.10 Taylor Series
1:05:03
Ай бұрын
Ch. 13.8 Power Series
23:57
Ай бұрын
Ch. 13.6 Absolute Convergence
18:52
Ch. 13.5 Alternating Series
16:04
Ch. 13.4 The Comparison Tests
18:59
Ch. 13.3 The Integral Test
24:15
Ch. 13.2 Series
42:22
Ай бұрын
Ch. 13.1 Sequences
1:09:04
Ай бұрын
Ch. 12.5 Conic Sections
1:00:55
2 ай бұрын
Ch. 12.3 Polar Coordinate
42:03
2 ай бұрын
Ch. 12.1 Parametric Curves
9:31
2 ай бұрын
Ch. 10.7 Probability and Statistics
1:25:09
Ch. 10.6 Biology Applications
16:24
Ch. 10.5 Economics Applications
27:22
Ch. 10.1 Arc Length
41:39
3 ай бұрын
Ch. 9.7 Improper Integrals
31:19
3 ай бұрын
Пікірлер
@koushik_1234
@koushik_1234 4 күн бұрын
Thank you sir for these videos ❤
@HoldenRogers-f2t
@HoldenRogers-f2t 29 күн бұрын
god bless this man.
@prof.williams8183
@prof.williams8183 27 күн бұрын
Haha! Thank you very much!
@mihawkhbd
@mihawkhbd Ай бұрын
Hello prof. Williams, I have 2 question I hope you answer them as soon as possible. Is this playlist explaining precalculus for james stewart? If it really does I wonder if you explained it all?
@prof.williams8183
@prof.williams8183 Ай бұрын
Yes it does. Everything is covered but I did not make videos for the Trig stuff since I have videos for a Trig course already (it was low priority at the time). The course reader has all the sections.
@James.Just.James.
@James.Just.James. Ай бұрын
Geometry series in the future XD
@Plaer1
@Plaer1 Ай бұрын
what textbook are you guys using?
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, at time 14:19 it is mentioned that the point of symmetry is 0; - b/a but was it not just calculated that x = -b/a ?
@elizmabergh5225
@elizmabergh5225 Ай бұрын
never mind :-)
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, do you have any videos regarding the Unit Circle?
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, I sent you an email, to the email address noted on the 'about me' info. with other questions.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
at 12:49 how do we know to use that form for the equation
@SumitBasutkar-e3v
@SumitBasutkar-e3v Ай бұрын
Please prepare full course on probability & statistics loved your other playlist ❤️❤️
@prof.williams8183
@prof.williams8183 Ай бұрын
Yes, I have started writing the pages for that course. Hopefully it will be finished by the summer.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
At time 09:32 with the second piece-wise the slope is mentioned as two down one over, should it not be 1/2 so rise over the run, up or down 1 and over 2?
@elizmabergh5225
@elizmabergh5225 Ай бұрын
no worries you mention it was incorrect the first time
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, okay so the graph you drew at time 4:35 the vertical line was drawn on the right-hand side which confirms the relation is not a function , does that apply to the complete graph? because if you draw a vertical line on the left hand side it will only intersect once?
@prof.williams8183
@prof.williams8183 Ай бұрын
The vertical line test is applicable everywhere. If there is anyplace on the function that violates the test then it is not a function.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
at time 18:37 why is the 1/(x+h) why is the h not in the numerator?
@elizmabergh5225
@elizmabergh5225 Ай бұрын
nevermind , think I got it
@elizmabergh5225
@elizmabergh5225 Ай бұрын
Hi, okay so basically then the input is the domain is the x values , the output is the range and is the f(x) and is the rule
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, at 32:11 time, the r^2 is then noted as 25 /2 , why is that , is it because 5/2 square root 2 is just to complicated to work with or looks more complicated
@elizmabergh5225
@elizmabergh5225 Ай бұрын
or actually why is it 25/2 cause, it should otherwise be 1/2 square root 50?
@prof.williams8183
@prof.williams8183 Ай бұрын
Yes, because it is easier to work with.
@prof.williams8183
@prof.williams8183 Ай бұрын
r=1/2sqrt(50) so r^2 would be 50/4 which is the same as 25/2.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
Hi, okay so the independent and dependant variable, if we have a value of y in the equation and we are trying to solve for x , then x is the independent variable? or in which scenario would x be the independant?
@prof.williams8183
@prof.williams8183 Ай бұрын
More or less yes. That is what you do when you need to find the inverse function.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, at video time 24:59 why did we not use the special product rule for (x-1)^2k, how do I know not to use it ?
@prof.williams8183
@prof.williams8183 Ай бұрын
Expanding would give us a mixed term in the middle of the polynomial that we would not be able to get rid of. We can do that and then use the quadratic formula but that is more work.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, I am struggling with this video, how to get the LCM and the multiplying it
@prof.williams8183
@prof.williams8183 Ай бұрын
Lcm=Least common multiple. It is the smallest number that all of the numbers in your denominators go into evenly. To find this take the largest denominator you have and count by that value and each time see if the other numbers go in evenly. Once you have reached the 1st number that all the numbers go into evenly you have the LCM. For algebraic expression you do the same thing but with each expression.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
hi, at number 2.2 what is professor Chois' method ?
@elizmabergh5225
@elizmabergh5225 Ай бұрын
okay you explain it later in the video
@elizmabergh5225
@elizmabergh5225 Ай бұрын
Hi, okay so the constant is a term, so basically the degree of the polynomial only agrees with the terms that have variables in them? sum at 15:40 have 8 terms but it is a polynomial of degree 7, is that correct?
@prof.williams8183
@prof.williams8183 Ай бұрын
Correct, a polynomial has n+1 terms where n is the degree of the polynomial. If terms are missing that is because the co-efficient for that term is 0.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
@@prof.williams8183 thank you so much for your replies, I wish I could just do maths all day and everyday, so interesting
@elizmabergh5225
@elizmabergh5225 Ай бұрын
Hi , in the video 58:02 the section on the screen, can you just explain why it is 3y when muliplying y with the radical, 3^2 (+9) so then should it not be 1y
@prof.williams8183
@prof.williams8183 Ай бұрын
I'm not quite sure which part you're referencing, however for the denominator (from line 3 to line 4) we factor out the common 3 which then cancels with the numerator on top.
@elizmabergh5225
@elizmabergh5225 Ай бұрын
Hi, in this video at 53:31 why is it '3' xy^2 in the denominator, should it not be 1xy^2 Do worry I see my problem
@paulajimenez2030
@paulajimenez2030 2 ай бұрын
how did you get 1/24?
@prof.williams8183
@prof.williams8183 2 ай бұрын
Thank you for catching that! It should be 1/2. I marked it down for when I make the revisions.
@soumiahamdi8540
@soumiahamdi8540 2 ай бұрын
Please send me pdf
@prof.williams8183
@prof.williams8183 2 ай бұрын
There is a link in the description to my website which has the pdf.
@soumiahamdi8540
@soumiahamdi8540 2 ай бұрын
​@@prof.williams8183😢 Excuse me, i go to the website but i do not find it, please send me in the email, i need it very much as soon as possibile.
@alvirarahman2690
@alvirarahman2690 3 ай бұрын
This is the best educational thing that is on KZbin.
@prof.williams8183
@prof.williams8183 3 ай бұрын
Thank you! I appreciate it!
@ahmedabdelaziz6969
@ahmedabdelaziz6969 3 ай бұрын
Hi, at 30:47 the du/dx = -y^-2y, should it be du/dx = -y^-2 or am I confused?
@refrappuccino6146
@refrappuccino6146 3 ай бұрын
Thank you for these videos. I'm in college and I got forced into taking an online pre-calculus class. I struggle with math already, so taking this course has been a nightmare. We cover the same book, your videos cover and explain the topic so much better than the book itself.
@prof.williams8183
@prof.williams8183 3 ай бұрын
Thank you, I really appreciate that! I think I'm missing the Trig section of this course. I'll start recording those videos once I finish my Calc II videos this semester.
@dana..1224
@dana..1224 3 ай бұрын
Tysm!!!!from Saudi Arabia
@Hannvibal
@Hannvibal Ай бұрын
من الكويت
@elpis.
@elpis. 3 ай бұрын
Hello professor! My freshman year of pure math starts in 3 weeks and i found out I forgot most of the things i've learned in high school. I was pretty good at derivatives, integrals and limit but it seems like they are all gone. i can't decide between taking a precalculus course or studying those high school classes again. I live in Turkey and there is a lot of sources in KZbin to learn those topics but they are sooooo long. Do i need to study those or would this course be enough for preparing myself for my first year?
@prof.williams8183
@prof.williams8183 3 ай бұрын
The majority upper level courses are some specific topic covered in Calculus. Save for graph theory or number theory pretty much everything is an extension of or a generality of Calculus.
@nostalgiachamber
@nostalgiachamber 3 ай бұрын
I don't understand where the a value came from? at 13:10
@prof.williams8183
@prof.williams8183 3 ай бұрын
The "a" value is the amplitude of the polynomial. We are using the standard factored form of a polynomial to solve our problem. If we had it in the vertex form it would also have an "a", the same "a". I go over this in more detail in Ch. 3.1. Some assumptions of the viewer are made through the beginning of this series. Mostly that this is not your 1st exposure to these types of objects so we go through them in more depth than we would an Algebra course as I assume you are somewhat familiar with them. Thank you for asking me to clarify, a lot of people won't actually ask for help in math!
@abnormal_titan26
@abnormal_titan26 3 ай бұрын
Thank you, my teacher has the worst accent immaginable. I can finally understand shii now.
@euaemil5995
@euaemil5995 4 ай бұрын
💘
@valeriereid2337
@valeriereid2337 4 ай бұрын
Thanks or explaining. This certainly helped.
@James.Just.James.
@James.Just.James. 4 ай бұрын
Thank you!
@prof.williams8183
@prof.williams8183 4 ай бұрын
Glad to help!
@rosepierce9382
@rosepierce9382 5 ай бұрын
Hi, Professor Williams, hope you're doing well! Do you recommend we do all the problems in Stewart Precalculus textbook after viewing your lectures? Thanks in advance!
@prof.williams8183
@prof.williams8183 5 ай бұрын
Hello, you don't necessarily have to do them all but try to get a good representation of the problems (every other odd is a good bet, then you can check your answers in the back!).
@rosepierce9382
@rosepierce9382 5 ай бұрын
@@prof.williams8183 Thank you so much for the reply. Hope you're having a wonderful day!
@Marcusrenethephysicsstudent
@Marcusrenethephysicsstudent 5 ай бұрын
where are the applications?
@prof.williams8183
@prof.williams8183 5 ай бұрын
The applications are in later chapters. You first need to develop a working knowledge of the vocabulary and the basics of how the solutions and equations work. Ch. 1.3 is the first introduction of applications. The majority of this course is focused on learning linear algebra. It is a very abstract course.
@saishgaitonde9343
@saishgaitonde9343 6 ай бұрын
Thanks sir , videos are helpful 😊
@prof.williams8183
@prof.williams8183 5 ай бұрын
Glad to help!
@ashm7380
@ashm7380 6 ай бұрын
Thank you!
@ashm7380
@ashm7380 6 ай бұрын
Life Saver! Thank You!
@maheenkamran5258
@maheenkamran5258 6 ай бұрын
Thank you! explained wonderfully
@RAJ-uf6jf
@RAJ-uf6jf 7 ай бұрын
Hey, I am doing calculus right now. I messed around during my high school years and your videos are really helping. Thank you so much!
@prof.williams8183
@prof.williams8183 6 ай бұрын
Glad to hear it! I'm making Calc II right now, it should be ready by the start of the fall.
@claremurphy8986
@claremurphy8986 7 ай бұрын
This is so helpful, thank you
@prof.williams8183
@prof.williams8183 7 ай бұрын
Happy to help!
@ntwanakasi10111
@ntwanakasi10111 7 ай бұрын
I can't thank you enough
@prof.williams8183
@prof.williams8183 7 ай бұрын
Glad the videos are helpful!
@AmeenaMuddasir
@AmeenaMuddasir 7 ай бұрын
Sir I wanna ask how m=0 and we got four repeated roots using constant coefficients !! I tried multiple times using characteristic homogenous equation DE but didn't get m = 0 !
@prof.williams8183
@prof.williams8183 7 ай бұрын
If you go back to Ch. 4.3 it is the 2nd case. We have m^4=0 as our aux eq so we have a repeated zero of 4 for that eq. Since m_1=m_2=...=0 our e term equals 1 so we have the general form as given in our example.
@zillionpubg7982
@zillionpubg7982 7 ай бұрын
Can i get a link of the solution manual to “ a first course in differential equations with modern applications 10th edition “ by zill .
@prof.williams8183
@prof.williams8183 7 ай бұрын
Sorry, no links from to pirated material. You have to find them on your own. If you look hard enough you should be able to find it though. An older edition will have most of the same problems, about 95-98% of the text is the same from edition to edition of a textbook unless they do a major overhaul.
@SuperNoah-mj7mx
@SuperNoah-mj7mx 7 ай бұрын
I have a question 10:17 Representation part, The domain of f(X) is D= {XER l X=\0} I don’t understand. I'm curious about the meaning of E. If you see it, please answer. It's my first time learning calculus
@prof.williams8183
@prof.williams8183 7 ай бұрын
That symbol represents "in". So the statement is "any value of x in R". R is the real numbers so it basically says x is a real number.
@SuperNoah-mj7mx
@SuperNoah-mj7mx 7 ай бұрын
@@prof.williams8183 Thank you for your answer professor!
@mollysullivan6414
@mollysullivan6414 7 ай бұрын
hi i have a question! wouldn't a = 53/1050? not 53/105?
@prof.williams8183
@prof.williams8183 7 ай бұрын
Yes! You are correct. I will add that to my list of corrections. Thank you!
@mohammedmuzammil2767
@mohammedmuzammil2767 8 ай бұрын
Very informative video
@prof.williams8183
@prof.williams8183 8 ай бұрын
Thank you!
@alinden861
@alinden861 8 ай бұрын
Hello the method at 46:30 called Sarrus rule.
@prof.williams8183
@prof.williams8183 8 ай бұрын
Thank you!
@dustinqtp1728
@dustinqtp1728 8 ай бұрын
for the example at 19:39 wouldn't the limit of sqrt(n/n+1) go to 1 not 0?
@prof.williams8183
@prof.williams8183 8 ай бұрын
You are indeed correct! Thank you! I will make a note so I can change the text on the next iteration.