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Prof. Williams
United States
เข้าร่วมเมื่อ 25 ก.ย. 2018
Video Library for my classes, please feel free to use them to study or for your own class sections.
sites.google.com/view/profwilliamsmathlinks/home
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Ch. 13.11 Fourier Series
The lecture notes are compiled into a course reader and are available at:
sites.google.com/view/profwilliamsmathlinks/home
sites.google.com/view/profwilliamsmathlinks/home
มุมมอง: 52
วีดีโอ
Ch. 13.10 Taylor Series
มุมมอง 28หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.9 Power Series Representations of Functions
มุมมอง 56หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.8 Power Series
มุมมอง 26หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.7 Strategies for Determining Convergence
มุมมอง 22หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.6 Absolute Convergence
มุมมอง 27หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.5 Alternating Series
มุมมอง 29หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.4 The Comparison Tests
มุมมอง 19หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.3 The Integral Test
มุมมอง 66หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.2 Series
มุมมอง 43หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 13.1 Sequences
มุมมอง 35หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 12.6 Conic Sections in Polar Coordinates
มุมมอง 282 หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 12.5 Conic Sections
มุมมอง 332 หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 12.4 Calculus with Polar Coordinates
มุมมอง 312 หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 12.3 Polar Coordinate
มุมมอง 262 หลายเดือนก่อน
The lecture notes are compiled into a course reader and are available at: sites.google.com/view/profwilliamsmathlinks/home
Ch. 12.2 Calculus with Parametric Curves
มุมมอง 242 หลายเดือนก่อน
Ch. 12.2 Calculus with Parametric Curves
Ch. 11.4 Homogeneous 2nd Order Linear Differential Equations
มุมมอง 273 หลายเดือนก่อน
Ch. 11.4 Homogeneous 2nd Order Linear Differential Equations
Ch. 11.3 Two Methods for Solving 1st Order Equations: Separation of Variables and Integrating Factor
มุมมอง 263 หลายเดือนก่อน
Ch. 11.3 Two Methods for Solving 1st Order Equations: Separation of Variables and Integrating Factor
Ch. 11.2 Direction Fields and Euler's Method
มุมมอง 293 หลายเดือนก่อน
Ch. 11.2 Direction Fields and Euler's Method
Ch. 11.1 Modeling with Differential Equations
มุมมอง 623 หลายเดือนก่อน
Ch. 11.1 Modeling with Differential Equations
Ch. 10.4 Physics and Engineering Applications: Moments and Center of Mass
มุมมอง 803 หลายเดือนก่อน
Ch. 10.4 Physics and Engineering Applications: Moments and Center of Mass
Ch. 10.3 Physics and Engineering Applications: Hydrostatic Pressure
มุมมอง 493 หลายเดือนก่อน
Ch. 10.3 Physics and Engineering Applications: Hydrostatic Pressure
Ch. 9.6 Numerical Methods: Approximating Integrals
มุมมอง 343 หลายเดือนก่อน
Ch. 9.6 Numerical Methods: Approximating Integrals
270. ( Number of my like)
Thank you sir for these videos ❤
god bless this man.
Haha! Thank you very much!
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?
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.
Geometry series in the future XD
what textbook are you guys using?
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 ?
never mind :-)
hi, do you have any videos regarding the Unit Circle?
hi, I sent you an email, to the email address noted on the 'about me' info. with other questions.
at 12:49 how do we know to use that form for the equation
Please prepare full course on probability & statistics loved your other playlist ❤️❤️
Yes, I have started writing the pages for that course. Hopefully it will be finished by the summer.
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?
no worries you mention it was incorrect the first time
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?
The vertical line test is applicable everywhere. If there is anyplace on the function that violates the test then it is not a function.
at time 18:37 why is the 1/(x+h) why is the h not in the numerator?
nevermind , think I got it
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
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
or actually why is it 25/2 cause, it should otherwise be 1/2 square root 50?
Yes, because it is easier to work with.
r=1/2sqrt(50) so r^2 would be 50/4 which is the same as 25/2.
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?
More or less yes. That is what you do when you need to find the inverse function.
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 ?
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.
hi, I am struggling with this video, how to get the LCM and the multiplying it
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.
hi, at number 2.2 what is professor Chois' method ?
okay you explain it later in the video
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?
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.
@@prof.williams8183 thank you so much for your replies, I wish I could just do maths all day and everyday, so interesting
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
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.
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
how did you get 1/24?
Thank you for catching that! It should be 1/2. I marked it down for when I make the revisions.
Please send me pdf
There is a link in the description to my website which has the pdf.
@@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.
This is the best educational thing that is on TH-cam.
Thank you! I appreciate it!
Hi, at 30:47 the du/dx = -y^-2y, should it be du/dx = -y^-2 or am I confused?
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.
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.
Tysm!!!!from Saudi Arabia
من الكويت
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 TH-cam 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?
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.
I don't understand where the a value came from? at 13:10
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!
Thank you, my teacher has the worst accent immaginable. I can finally understand shii now.
💘
Thanks or explaining. This certainly helped.
Thank you!
Glad to help!
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!
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!).
@@prof.williams8183 Thank you so much for the reply. Hope you're having a wonderful day!
where are the applications?
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.
Thanks sir , videos are helpful 😊
Glad to help!
Thank you!
Life Saver! Thank You!
Thank you! explained wonderfully
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!
Glad to hear it! I'm making Calc II right now, it should be ready by the start of the fall.
This is so helpful, thank you
Happy to help!
I can't thank you enough
Glad the videos are helpful!
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 !
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.
Can i get a link of the solution manual to “ a first course in differential equations with modern applications 10th edition “ by zill .
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.
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
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.
@@prof.williams8183 Thank you for your answer professor!
hi i have a question! wouldn't a = 53/1050? not 53/105?
Yes! You are correct. I will add that to my list of corrections. Thank you!
Very informative video
Thank you!
Hello the method at 46:30 called Sarrus rule.
Thank you!