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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 |
![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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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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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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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 |
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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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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 |
![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 |
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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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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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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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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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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 |
![Fluid Mechanics - Archimedes\](http://img.youtube.com/vi/ZdfLnxTQnqQ/2.jpg "Fluid Mechanics - Archimedes\") |
Fluid Mechanics - Archimedes' Principle the mathematical way Posted by: donylee
Video duration: 477 seconds A mathematical rigorious approach to derive Archimedes' principle. We find the magnitude of the Buoyancy force here. 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: archimedes, fluid, gaussian, math, mechanics, physics |
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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 |
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Leibniz quest for Pi pt1 Posted by: donylee
Video duration: 647 seconds In this 3-part video we follow Leibniz in his pursuit to find the area of a quater circle of unit radius via integration, trigonometry and series expansion. Simply amazing! Hope you like it. Check out www.gaussianmath.com for a more indepth explanation. Related: calculus, donny, gaussian, leibniz, math |
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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 |
![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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Line Integral - short example Posted by: donylee
Video duration: 579 seconds Here is a basic example of implementing the line integral. You must substitute the parametric equations into both the vector field and position vector and then integrate. Check out www.gaussianmath.com for an indepth study and more calculus related lessons. Related: calculus, donny, gaussian, math, vector |
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Geometric Progression Posted by: donylee
Video duration: 600 seconds A short video on geometric 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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Complex Numbers - Complex Plane Posted by: donylee
Video duration: 613 seconds Video on the Complex Plane Check out www.gaussianmath.com for related math topics and more AMC problems. Related: complex, donny, gaussian, math, numbers |
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