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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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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 |
![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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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 |
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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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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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Adv Diff Calc 4: The Total Differential Posted by: donylee
Video duration: 491 seconds Advanced Differential Calculus - The Total Differential Previously for partial derivatives, ?x and ?y were considered separately. Now we look at the effect of changing x and y together. We discover a new term called the total differential which is dz = a?x + b?y Gassianmath.com - using numbers to solve the greatest mysteries. Related: advanced, calculus, derivatives, differential, differentiation, dz, limit, multivariable, partial, total, z |
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Arithmetic Progression Posted by: donylee
Video duration: 638 seconds A short video on arithmetic progression. Check out my webpage www.gaussianmath.com for more interesting math topics. Related: ap, gaussian, gp, math, physics, sequences, series |
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Functions - How to sketch a complicated function Posted by: donylee
Video duration: 442 seconds A video on how to sketch a complicated function namely f(x)=1+(x^2/(x+2)(3- x))^(1/2). Hope you learn something from it. Check out www.gaussianmath.com for a better experience and more problems on the AMC. 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 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 |
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Multiple Integrals 12: Double Integrals in Polar Coordinates Posted by: donylee
Video duration: 582 seconds We now move on to another coordinate system, Polar Coordinates and see how the double integral is defined here. For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com Related: calculus, double, integral, integration, math, multivariable, polar |
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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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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 |
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Multiple Integrals 9: Finding Volume Problems (Cylinder) Posted by: donylee
Video duration: 342 seconds Using the Double integral to find the volume of a cylinder with a flat bottom and slanted top. 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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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 |
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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 |
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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 |
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Multiple Integrals 15: Volume of Sphere in Polar Coordinate Posted by: donylee
Video duration: 547 seconds We visit an age-old problem of finding the volume of a sphere but this time curiously using polar 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, math, multivariable, polar, sphere |
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The Fundamental Theorem of Arithmetic Posted by: donylee
Video duration: 644 seconds Hey guys, my best attempt in proving this theorem. I am not too good with mathematical reasoning but hope I did a decent job in the proof. Any comments will be greatly appreciated. Check out www.gaussianmath.com for an indepth look at the proof or for calculus related content. Related: arithmetic, donny, fundamental, gaussian, math |
