Video scenes shots:
Watch the video:
| URL: | |
| Embed: |
Display Video Comments | Hide Video Comments | Add Comment
Other videos by this author:
 |
Multiple Integrals 1: Definition of the Double Integral Posted by: donylee
Video duration: 654 seconds Our first official lesson on multivariable calculus. We start by examining the double integral, how we use the limiting process and apply it to two variables. For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com Related: calculus, double, integral, integration, limit, math, multivariable Display Video Comments | Hide Video Comments | Add Comment |
 |
Vector Integral Calculus - Gradient Vector Field p1 Posted by: donylee
Video duration: 392 seconds A short video explaining the Gradient Vector Field, a difficult part in understing vector Calculus. Hope you enjoy it. Check out www.gaussianmath.com for more vector calculus. Thanks! Related: calculus, donny, gaussian, math, vector Display Video Comments | Hide Video Comments | Add Comment |
![Complex Numbers de Moivre\](http://img.youtube.com/vi/PFJ7J8tvrQo/2.jpg "Complex Numbers de Moivre\") |
Complex Numbers de Moivre's theorem Posted by: donylee
Video duration: 514 seconds Video on the Complex Numbers de Moivre's theorem. Check out www.gaussianmath.com for a more indepth explanation and other AMC problems. Related: complex, donny, gaussian, math, numbers Display Video Comments | Hide Video Comments | Add Comment |
![Line Integral - Green\](http://img.youtube.com/vi/P5LCSatuIvo/2.jpg "Line Integral - Green\") |
Line Integral - Green's Theorem Posted by: donylee
Video duration: 647 seconds A short introduction to Green's Theorem which concerns turning a closed loop integral into a double integral given certain conditions. Check out www.gaussianmath.com for an indepth study and more calculus related lessons. Related: calculus, donny, gaussian, math, vector Display Video Comments | Hide Video Comments | Add Comment |
 |
QM0.1: Postulates of Quantum Mechanics Posted by: donylee
Video duration: 631 seconds Welcome to GussianMath's module on Quantum Mechanics. We start by briefly discussing the postulates of quantum mechanics - the minimum set of assumptions from which we'll build the theory upon. For an in-depth study, check out www.gaussianmath.com Related: density, mechanics, physics, postulates, probability, quantum, schrodinger, spin, state Display Video Comments | Hide Video Comments | Add Comment |
![Kepler\](http://img.youtube.com/vi/DvjuFUvse_g/2.jpg "Kepler\") |
Kepler's Third Law Posted by: donylee
Video duration: 640 seconds We conclude our study by proving, with mathematical rigour as always, Kepler's Third Law - the square of the period of a planet moving around its elliptical orbit is proportional to the cube of its semimajor axis of that orbit. Check out www.gaussianmath.com for an indepth study or more calculus related content. Related: calculus, donny, gaussian, kepler, math, orbits Display Video Comments | Hide Video Comments | Add Comment |
![Line Integral - proof of Green\](http://img.youtube.com/vi/8ozE7hyOMz4/2.jpg "Line Integral - proof of Green\") |
Line Integral - proof of Green's Theorem pt1 Posted by: donylee
Video duration: 601 seconds A proof of a special case of Green's Theorem where the graph can be described in two ways. Check out www.gaussianmath.com for an indepth study and more calculus related lessons. Related: calculus, donny, gaussian, math, vector Display Video Comments | Hide Video Comments | Add Comment |
 |
Kinematics - deriving equations of constant acceleration Posted by: donylee
Video duration: 538 seconds A short lesson on basic Kinematics, how to derive the equations of motion under constant acceleration. Check out www.gaussianmath.com for more mechanics and calculus related topics. Related: donny, gaussian, kinematics, math Display Video Comments | Hide Video Comments | Add Comment |
 |
Mathematical Wormhole pt1 Posted by: donylee
Video duration: 547 seconds Time travel is possible in mathematics! Hope you enjoy the 2-part video. Check out www.gaussianmath.com for a more indepth explanation and other interesting topics in mathematics. Related: donny, gaussian, math, time, travel Display Video Comments | Hide Video Comments | Add Comment |
 |
Hyperbolic Functions - Definitions and graph of cosh x Posted by: donylee
Video duration: 618 seconds A short introduction to hyperbolic functions. Don't get mislead by their 'unpopularity' compared to trigonometric functions. Hyperbolic functions do have their uses. Check out www.gaussianmath.com for an indepth study and for more calculus related topics. Related: catenary, donny, gaussian, hyperbolic, math Display Video Comments | Hide Video Comments | Add Comment |
 |
Vector Integral Calculus - Gradient Vector Field p2 Posted by: donylee
Video duration: 286 seconds A short video explaining the Gradient Vector Field, a difficult part in understing vector Calculus. Hope you enjoy it. Check out www.gaussianmath.com for more vector calculus. Thanks! Related: calculus, donny, gaussian, math, vector Display Video Comments | Hide Video Comments | Add Comment |
 |
Multiple Integrals 5: Limits of Region R (Type I) Posted by: donylee
Video duration: 594 seconds We see how, through a simple procedure, we define the limits of a type I region R. For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com Related: calculus, double, integral, integration, limit, math, multivariable Display Video Comments | Hide Video Comments | Add Comment |
 |
Complex Numbers with trigonometry p1 Posted by: donylee
Video duration: 575 seconds Video on the Complex Numbers using trigonometry identities Check out www.gaussianmath.com for related math topics and more AMC problems. Related: complex, donny, gaussian, math, numbers Display Video Comments | Hide Video Comments | Add Comment |
 |
Multiple Integrals 7: Reversing the order of integration Posted by: donylee
Video duration: 534 seconds Up to now, we should have realized that we can either integrate dx dy or integrate dy dx. This lesson looks at reversing the order. For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com Related: calculus, double, integral, integration, limit, math, multivariable Display Video Comments | Hide Video Comments | Add Comment |
 |
Fluid Mechanics - Syphoning Water Posted by: donylee
Video duration: 508 seconds Bernoulli's equation used to explain a common phenomena in syphoning water. Gaussian Math Fluid Mechanics module, situable for those studying it as an undergraduate module. Check out www.gaussianmath.com for an indepth study with downloadable notes or for more math related content. Related: bernoulli, fluid, gaussian, math, mechanics, physics Display Video Comments | Hide Video Comments | Add Comment |
 |
Vector Calculus Curvature pt1 Posted by: donylee
Video duration: 443 seconds A video on Vector Calculus - Curvature Check out www.gaussianmath.com for more content on vector calculus. Related: calculus, donny, math, vector Display Video Comments | Hide Video Comments | Add Comment |
 |
Multiple Integrals 9: Finding Volume Problems (Tetrahedron) Posted by: donylee
Video duration: 360 seconds Using the Double integral to find the volume of a tetrahedron bounded by a plane and the coordinate planes. For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com Related: calculus, double, integral, integration, limit, math, multivariable Display Video Comments | Hide Video Comments | Add Comment |
![Bernoulli\](http://img.youtube.com/vi/qSb0D61qfQE/2.jpg "Bernoulli\") |
Bernoulli's Equation via F=ma Posted by: donylee
Video duration: 560 seconds We start our tour into Bernoulli's Equation by resolving forces. Gaussian Math Fluid Mechanics module, situable for those studying it as an undergraduate module. Check out www.gaussianmath.com for an indepth study with downloadable notes or for more math related content. Related: bernoulli, fluid, gaussian, math, mechanics, physics Display Video Comments | Hide Video Comments | Add Comment |
 |
Complex Numbers addition and multiplication Posted by: donylee
Video duration: 397 seconds A short introduction to Complex Numbers. Check out www.gaussianmath.com for related math topics and more AMC problems. Related: complex, donny, math, numbers Display Video Comments | Hide Video Comments | Add Comment |
 |
Fluid Mechanics - Pressure Field Compressible Fluid Posted by: donylee
Video duration: 454 seconds Using the basic equation, we find the pressure field of an compressible fluid assuming density constant, slightly more work need compared to the incompressible fluid. Gaussian Math Fluid Mechanics module, situable for those studying it as an undergraduate module. Check out www.gaussianmath.com for an indepth study with downloadable notes or for more math related content. Related: fluid, gaussian, math, mechanics, physics, pressure Display Video Comments | Hide Video Comments | Add Comment |
 |
Vector Integral Calculus - Finding Directional Derivative Posted by: donylee
Video duration: 444 seconds Following up with my previous video on the directional derivative, here is a short example. Situable for those taking vector calculus or enginnering math in general. Check out www.gaussianmath.com for more calculus related mathematics. Related: calculus, donny, gaussian, math, vector Display Video Comments | Hide Video Comments | Add Comment |
Latest comments made on this video:
By: dgm116. on 30 Nov 08, 01:01:33
if all teachers from mexico were like hime, mexico would be better, you are a exellent teacher
By: SuperDragoes87. on 28 Nov 08, 18:12:53
that's easy.. why the exciting ? :S
By: anirudh215. on 31 Oct 08, 06:20:12
I'm facing problems. I can't understand your accent at all.
By: Spasticus1. on 26 Oct 08, 12:57:30
Well done, Donny. You've made it look easy, as all good teachers do.
By: scientistwriter. on 11 Oct 08, 18:08:55
Hey this is an awesome video my friend and this is really timely because I am concentrating on learning this right now. Just go slower please! Thank you for sharing your knowledge.
By: nader123456789. on 17 Sep 08, 03:01:45
Good video, but u need to slow abit....u need a chill pill lol :)
By: noinimod. on 14 Sep 08, 13:06:23
Hey Donny, just wanted to let you know how much your videos have helped me.. I'm actually at NUS taking ma1505 (freshie) and to be honest, most of the notes SUCK. you have been a tremendous blessing to me. thanks and great job!!
By: pollardrho06. on 09 Sep 08, 16:50:07
Fantastic!
By: hermanicus25. on 09 Sep 08, 12:30:36
Good video! Granted, I´ve taken a class in fourier analysis before and obviously have an easier time understanding than the first time, but I liked the pace. You´re very clear and don´t waste time. Hey you can always rewatch parts, right?
By: zimoshe. on 04 Sep 08, 15:41:31
man, you are scaring me... stop shouting on your students!
By: JustSemantics. on 24 Aug 08, 06:45:43
Thanks for talking really quickly. I remember my linear algebra class, My God the professor talked so slowly, we learned practically everything in homework because we got nothing done during lectures. I can admit to falling asleep a few times :P
By: jimlov04. on 22 Aug 08, 20:58:59
hey, take it easy!
By: bmxtra211. on 14 Aug 08, 11:38:30
In regards to interchanging integration with summation, I believe a sufficient condition for this to be possible is that the series converges uniformly, which in some sense says that each point of the function converges at "about the same speed." Uniform convergence is probably the first topic you study when pondering this question. Also, I find your pace to be just right and your videos to be very informative and inspiring. An excellent resource; keep doing what you're doing.
By: donylee. on 14 Aug 08, 03:59:06
Hello Delboy, I think it is a matter of just labeling the constant a0. In your case, if the Fourier series is 1/2a0 + ..., then a0 = 1/pi and not 1/2pi. The 1/2 is brought outside the calculation of a0.
By: donylee. on 14 Aug 08, 03:53:40
Yup, I get that a lot! Will try to teach in a slower but effective manner next time.
By: donylee. on 14 Aug 08, 03:52:51
Good discussion guys. I did look it up in a Real Analysis book. Interchanging of integrals with summation is a generalization of something called Tonelli's theorem. Conditions are that either the function is a positive function or if the integral of the sum (or vice versa) is finite. bmxtra211, you are indeed correct.
By: donylee. on 14 Aug 08, 03:49:21
Hehe, I like that. Physics needs Fourier Analysis too! As for me, I ALWAYS need a beer once in a while.
By: csfreak89. on 13 Aug 08, 19:31:08
the way this guy teaches is crasy
By: bmxtra211. on 06 Aug 08, 01:40:26
No; this is not true. Certainly true when finite, but definitely not when infinite. This is an example of what you study in real analysis.
By: SDKF000242. on 05 Aug 08, 19:54:50
A dummie (aka a dumbass) needs a girlfriend, a phone, beer, and a television, not fourier analysis.
By: tomwinmax. on 26 Jul 08, 02:12:58
Hmm. For the rest of us... got anything resembling "Fourier Series for Dummies"?
By: esquadmiller. on 24 Jul 08, 04:50:36
Oh, now I see he said he will explain it in video 3. I'll watch that soon. Thanks for the vid.
By: esquadmiller. on 24 Jul 08, 04:47:26
Integral of sums is the sum of integrals. This shouldn't be anything counter-intuitive. My calc teacher also tried to avoid explaining why summation and integration signs are interchangable. But it's very obvious. Integral of (a+b) is integral of a + integral of b. Expanding up to infinite terms proves integral of sum is sum of integrals. Why should that be something to avoid to explain?! Good video btw. Very energatic. Just needs to explain in the end why f is not its fourier expansion.
By: ApeOfGod1. on 17 Jul 08, 00:49:40
Holy asparagus tips... dude you talk WAY to fast, slow down!
By: ChoujiAkimichi. on 03 Jul 08, 07:10:13
yay! hes actaully pretty good at gettign points across for a college prof ;p