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KeysToMaths
Ireland
เข้าร่วมเมื่อ 9 ส.ค. 2011
For online tutoring enquiries, contact me at bnino50@gmail.com
For videos covering the Irish leaving cert maths and applied maths courses, go to th-cam.com/users/leavingcertmaths.
For videos covering the Irish leaving cert maths and applied maths courses, go to th-cam.com/users/leavingcertmaths.
Greatest Common Divisor Proofs
A proof that the greatest common divisor (gcd) of a set of integers is the smallest positive linear combination of the integers (using integer coefficients) and that any common divisor divides the gcd.
มุมมอง: 1 025
วีดีโอ
Proof of Euclid's Division Lemma
มุมมอง 1.4K3 ปีที่แล้ว
For any integer a and any non-zero integer b, there exists unique integers q and r such that a = qb r where r is non-negative and less than |b|.
Negative Feedback Loop and Initial and Final Value Theorems
มุมมอง 1.4K10 ปีที่แล้ว
The transfer function for a negative feedback loop is derived. The initial and final value theorems are used to find the initial and steady state values of the output function y(t) for a given input function (t)
Transfer Function, Time Constant and Initial and Final value Theorems
มุมมอง 5K10 ปีที่แล้ว
We look at the transfer function for the input and output voltages for an RL circuit. The time constant for the system is discussed and the initial and final value theorems are used.
Laplace Transforms - Differential Equation Solution
มุมมอง 33410 ปีที่แล้ว
A first order differential equation is solved using laplace transforms.
Z Transform Properties - Right Shift Theorems
มุมมอง 6K11 ปีที่แล้ว
The sequence y_n-1 is got by shifting the sequence y_n by 1 place to the right.
Z Transforms - Left Shift Theorems
มุมมอง 13K11 ปีที่แล้ว
The sequence y_n 1 is got by shifting the sequence y_n by 1 place to the left.
Z Transforms - First Order Difference Equations
มุมมอง 10K11 ปีที่แล้ว
Z Transforms - First Order Difference Equations
Z Transforms and Second Order Difference Equations - Fibonacci Sequence
มุมมอง 10K11 ปีที่แล้ว
The solution y_n of the second order difference equation y_n 2 = y_n 1 y_n is the Fibonacci Sequence.
Z Transforms - Unit Impulse and Geometric Sequences
มุมมอง 10K11 ปีที่แล้ว
Introduction to the Z - Transform of a sequence.
Z Transforms - Linearity Property, Hyperbolic and Trigonometric Functions
มุมมอง 9K11 ปีที่แล้ว
We write the Hyperbolic and Trigonometric Functions as linear combinations of exponential functions. Next we use the linearity property of the Z - Transform and the Z - Transform of a geometric sequence to get the Z - Transforms of the functions Sinh n and cos (wn).
Z Transform Properties - Multiplication of a Sequence by the Ramp and Geometric Sequences
มุมมอง 4K11 ปีที่แล้ว
We get the Z - Transforms of an arbitrary sequence that is multiplied by the ramp and geometric sequences.
ANOVA Example
มุมมอง 1.5K11 ปีที่แล้ว
ANOVA (Analysis of Variance) is used to test for a significant difference between population means. It is assumed that the groups come from normally distributed populations with equal variances. The test involves comparing the variation within each group (SSW or SSR) to the variation between the groups (SSB or SSM).
Uniform Circular Motion - Geometrical Derivation of Centripetal Acceleration
มุมมอง 2.7K11 ปีที่แล้ว
If an object moves with uniform (constant) speed on a circle, then it's acceleration vector at any instant is directed towards the centre of the circle and has magnitude w^2r or v^2/r where w is the (uniform) angular speed in radians and r is the radius of the circle. This acceleration is called the centripetal (centre seeking) acceleration.
Triple Integration - The Centre of Mass of a Tetrahedron
มุมมอง 19K11 ปีที่แล้ว
Triple Integration - The Centre of Mass of a Tetrahedron
Triple Integration - Volume of a Curved region
มุมมอง 13811 ปีที่แล้ว
Triple Integration - Volume of a Curved region
Triple Integration - Volume of a Triangular Prism
มุมมอง 14K11 ปีที่แล้ว
Triple Integration - Volume of a Triangular Prism
Triple Integration - Introduction and Example
มุมมอง 39211 ปีที่แล้ว
Triple Integration - Introduction and Example
Double Integration using Polar Coordinates
มุมมอง 13511 ปีที่แล้ว
Double Integration using Polar Coordinates
Double Integration and the order of integration
มุมมอง 17911 ปีที่แล้ว
Double Integration and the order of integration
Double Integration over Non - Rectangular Regions 2
มุมมอง 89911 ปีที่แล้ว
Double Integration over Non - Rectangular Regions 2
Double Integration over Non - Rectangular Regions 1
มุมมอง 7K11 ปีที่แล้ว
Double Integration over Non - Rectangular Regions 1
Double Integration - Centre of Pressure Derivation and Example
มุมมอง 3.1K11 ปีที่แล้ว
Double Integration - Centre of Pressure Derivation and Example
Double Integration - Introduction and Examples
มุมมอง 23711 ปีที่แล้ว
Double Integration - Introduction and Examples
Double Integration - Order of Integration
มุมมอง 8711 ปีที่แล้ว
Double Integration - Order of Integration
You can also do a substitution where u = st, du = sdt, t = u/s and it will give you an analytic proof instead of the induction done here.
Thank you sir even 12 yrs later this video is still helpful
Thank you, very helpful in my exam study
thanks!
you are the coolest man i have come across on youtube really
Thank you, this is very clearly explained!
Thanks for such a clear proof
You say that we will show that this set is non empty for all a belongs to Z and b belongs to Z except 0......why though? If we substitute 0 in place of b we would get a as our set which is definitely non empty
This is a very good explanation of Laplace and the first shift theorem, it helped me alot. Thankyou.
Do you have a proof for the composition of functions for Dirac delta function? Thank you for this video btw!!
Look at this link to find simple proof of FERMAT'S Last Theorem
man i searched 2h for this video. what a legend. no one teaches this better than you
Thank you very much, that is a very nice proof and very beneficial.
this was so clear thank you
Very well explained sir. Thank you. I did not know about Z transforms. Could you recommend a textbook?
Great video. Very well explained, and very clear.
Excellent intro to the Z transform. You speak very clearly. You should compile a textbook.
If the viewer has some idea of what is being informed, the video becomes very informative.
I actually was glad to find it on a search, but I know what you mean. In history, also known among professors as "mathematical maturity". You are expected to have some experience, but nobody wants to commit to what that experience should actually be. Somebody once said, "There is no royal road to mathematics." Yes, but ... 😉
Good one
Thank you very much it was a rush
thanks
Look in this link to find right solution for Fermat's Last Theorem
th-cam.com/video/N2kKnuqoeHk/w-d-xo.html
thank you so much
Much appreciated!!!!
thank you so much
Thank you 😊 for such awesome explanation
Extremely helpful, thanks a lot
A thin circular ring, of radius 20cm, is charged, with a uniform charge density(rho). If a small section, of 1cm length, is removed from the ring. Calculate the electric field intensity at the center of the ring.
so, to apply parallel axis theorem we have to consider origin at center of mass other wise we have to take that sigma(d mi ri ) term also?
The explanation is cristal clear😍👍.
Super👍
👍👍👍
What if there's no given measurements?
Thank u sir its very useful
hi i've been trying to find the video where u explain 'y[n+1] = z*Y(z) - zy0' but i can't find it
Which book are you following?
IF U STILL EXIST THANKS
I need the papers used in the explanation
really amazing explanation thank you so much for this video
Great explanation, thanks!
Thankuu
General equation for tetrahedron bounded by the axis and the points (a,0,0), (0,b,0), (0,0,c) is Centroid equals: (a/4, b/4, c/4)
Why would f(c) be equal to f(c+h) when h>0 ?
I have same question i did not understand
@@furkankilincaslan7503 And even after ten months of time I still haven't manage to figure it out.
@@joecheng643 if f(c) local maximum point then f(c) must bigger than f(c+h) if "h" is not equal to zero because f(c) local maximum point and it's output must bigger than nearby points output
Thanks
sir you should be more descriptive
Gosh , I had been looking for this proof all over the place and here it is explained clearly and concisely ..thanks for that 👍🏻
The result seems so obvious when you explain it. Very well done! Thank you!
Well explained awesome video. Lovely southern accent is a nice bonus
I have no clue if this will be seen, since this video was posted 7 years ago and has 230 views, but I hope it is. You just saved me a ton of time and annoyance. I've got a homework problem much like this for an engineering class and had no clue where to start. I think I've found what I should do from watching. Thank you very very much!