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.
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
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.
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!
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.
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.
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.
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.
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.
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.
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.
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
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.
Susquehanna Bancshares, Inc. Declares Dividend and Announces Third ... - F... The board of directors of Susquehanna Bancshares, Inc. (Susquehanna) (NASDAQ: SUSQ) has declared a fourth quarter dividend of $0.26 per share on its common stock, payable on November 20, 2008 to shareholders of record November 3, 2008. Susquehanna ...
Middle-class Americans' retirement at risk - Leaf Chronicle Through most of his working life, steelworker Ray West looked toward a secure retirement. His company pension would bring in around $30,000 a year, his union contract guaranteed retiree health coverage and he had 401(k) savings of about $50,000 ...
Wall Street’s Top Four Retirement Planning Myths -- and How They ... - W... Hype by Brokerages Has Made Investors Take on Too Much Risk and Pay Too Much in Fees, Says Financial Author Scott Burns DALLAS - Trust in big Wall Street firms is at an all-time low as a result of the current U.S. financial crisis. Scott Burns, chief ...
Disappearing pensions make Americans' lives less secure - Detroit Free Pres... Through most of his working life, steelworker Ray West looked toward a secure retirement. His company pension was expected to bring in around $30,000 a year, his union contract promised retiree health coverage and he had 401(k) savings of about $50 ...
Nationwide supports National Save for Retirement Week Oct. 19-25 - Forbes The current challenges facing the U.S. economy have left many of today's workers concerned about their retirement security. Couple that with a recent study which found that 61 percent of households are at risk of being unable to maintain their ...
![Line Integral - proof of Green\](http://img.youtube.com/vi/8ozE7hyOMz4/2.jpg "Line Integral - proof of Green\")
![Line Integral - Green\](http://img.youtube.com/vi/P5LCSatuIvo/2.jpg "Line Integral - Green\")
![Fourier Analysis 2: Fourier Series of a \](http://img.youtube.com/vi/CK9NaHBe2CE/2.jpg "Fourier Analysis 2: Fourier Series of a \")
![Complex Numbers de Moivre\](http://img.youtube.com/vi/PFJ7J8tvrQo/2.jpg "Complex Numbers de Moivre\")
