Latest videos by donylee
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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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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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QM0.3: Time-Independent Schrödinger Equation Posted by: donylee
Video duration: 643 seconds Assuming that potentials don't change with time, we deal with the time-independent Schrödinger Equation, which is more manageable. This lesson involves writing its most general solutions. For an in-depth study, check out www.gaussianmath.com Related: density, mechanics, physics, postulates, probability, quantum, schrodinger, spin, state |
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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 |
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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 |
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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 |
![QM0.4: \"Square\" Potentials](http://img.youtube.com/vi/R08_h1IZJTM/2.jpg "QM0.4: \\"Square\\" Potentials") |
QM0.4: "Square" Potentials Posted by: donylee
Video duration: 660 seconds In order to display quantum effects, we are going to consider potentials which varied considerably over small distances. Quantitatively, this is represented by a 'Square' potential. For an in-depth study, check out www.gaussianmath.com Related: density, mechanics, physics, postulates, probability, quantum, schrodinger, spin, state |
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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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QM0.7: Solutions to the 2nd-order Differential Equation Posted by: donylee
Video duration: 584 seconds Knowing that we need to solve a 2nd-order differential equation in the time-independent Schrödinger Equation, we shall write the solutions here, based on which form the equation takes. For an in-depth study, check out www.gaussianmath.com Related: density, mechanics, physics, postulates, probability, quantum, schrodinger, spin, state |
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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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QM0.2: Time Evolution of a system Posted by: donylee
Video duration: 239 seconds The 5th postulate of quantum mechanics. It says that the dynamics of a system is regulated by the Time-dependent Schrödinger equation. Not easy to solve. For an in-depth study, check out www.gaussianmath.com Related: density, mechanics, physics, postulates, probability, quantum, schrodinger, spin, state |
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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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Multiple Integrals 4: Nonrectangular regions Posted by: donylee
Video duration: 575 seconds We learn how to calculate the double integral over nonrectangular regions. 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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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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Multiple Integrals 13: Evaluation of Polar Double Integrals Posted by: donylee
Video duration: 554 seconds Still sticking in the polar coordinates systems, this lessons focuses on evaluating the double integral. 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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