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Fourier Analysis 1: Definition of the Fourier Series Posted by: donylee
Video duration: 646 seconds We begin our study on the work of Joseph Fourier (1768-1830) with the definition of the Fourier Series - a way of expressing functions as infinite sums or integrals or trigonometry functions. Please check out www.gaussianmath.com for a deeper look into this or other mathematics topics. Related: analysis, donny, fourier, gaussian, math, series |
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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 |
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Fluid Mechanics - Viscosity Posted by: donylee
Video duration: 651 seconds Definition of the viscosity of a liquid. 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, viscosity |
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Difficult Functions Question from 1996 AHSME #25 Posted by: donylee
Video duration: 640 seconds Suppose that x^2+y^2=14x+6y+6. What is the maximum value of 3x+4y? It took me a while to solve it. A written solution can be read from http://www.gaussianm ath.com/functions/19 96AHSME25/1996AHSME2 5.html Check out www.gaussianmath.com for more amc problems and calculus related content. Related: donny, functions, gaussian, math, olympiad |
![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 |
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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 |
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Fluid Mechanics - The Basic Equation of Pressure Field Posted by: donylee
Video duration: 547 seconds Analyzing the forces on a water particle, we now derive the basic equation of the pressure field - a highly important equation when dealing with change in pressure. 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 |
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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 |
![Fourier Analysis 2: Fourier Series of a \](http://img.youtube.com/vi/CK9NaHBe2CE/2.jpg "Fourier Analysis 2: Fourier Series of a \") |
Fourier Analysis 2: Fourier Series of a 'broken' function Posted by: donylee
Video duration: 648 seconds Using our previous definitions, here is an example of how you write a Fourier Series from a graph of a function, a 'broken' function in this case. Please check out www.gaussianmath.com for a deeper look into this or other mathematics topics. Related: analysis, donny, fourier, gaussian, math, series |
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Vector Calculus Introduction Posted by: donylee
Video duration: 422 seconds A short introduction to Vector Calculus Check out www.gaussianmath.com for more content on vector calculus. Related: calculus, donny, math, vector |
![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 |
![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 |
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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 |
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Fluid Mechanics - Flow past a sphere Posted by: donylee
Video duration: 644 seconds We'll study a flow of a fluid with a complex velocity function and see how Bernoulli's equation gives us the velocity and pressure relationship. 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 |
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Vector Calculus - Fundamental Theorem fo Space Curves pt1 Posted by: donylee
Video duration: 559 seconds A long 3-part video on the 'Fundamental Theorem of Space Curves', a theorem in Vector Differential Caculus. I suggest you view this only if you are taking a course in vector calculus. If not, it could just be a waste of your time. Check out www.gaussianmath.com for more vector calculus or other calculus topics. Related: calculus, donny, gaussian, math, vector |
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Multiple Integrals 2: Partial Integration Posted by: donylee
Video duration: 632 seconds Before we head to evaluating double integrals, we need to be familiar with a somewhat new technique of integrating, how we integrate a function in two variable with respect to one variable only. 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 |
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Fourier Analysis 11: Graphs of various Fourier Series Posted by: donylee
Video duration: 609 seconds Let's look at the graphs of various Fourier Series. To illustrate the series, we will be taking the Nth partial sum. It is also here where we notice some interesting behaviour of some Fourier Series. Please check out www.gaussianmath.com for a deeper look into this or other mathematics topics. Related: analysis, convergence, donny, fourier, gaussian, math, series |
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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 |
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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 |
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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 |
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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 |
![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 |
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Fluid Mechanics - Hydrostatic Force on plane Posted by: donylee
Video duration: 645 seconds We derive the magnitude and direction of a hydrostatic force on a plane surface. 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 |
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Multiple Integrals 3: Evaluating Double Integrals Posted by: donylee
Video duration: 465 seconds Using partial integration, we can now go in the proper methods of evaluating double integrals. 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 |