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  • News
    ...9.pdf newsletter]). To see the Rhea page about Leibniz's slowly converging series that is mentioned in the article, click [[ChallengeProblem_MA181Fall2008bel
    10 KB (1,507 words) - 03:36, 24 August 2011
  • Rhea Portal
    ...ngeProblem MA181Fall2008bell|MA 181 page about Leibniz's slowly converging series]] led to an REU in mathematics for John Mason and Josh Hunsberger (under th
    6 KB (877 words) - 06:22, 21 March 2013
  • ECE 301 (SanSummer2008)
    ...ntation of continuous-time periodic signals_(ECE301Summer2008asan)|Fourier Series representation of continuous-time periodic signals]] ...eries Representation of CT periodic signals_(ECE301Summer2008asan)|Fourier Series Representation of CT periodic signals]]
    7 KB (921 words) - 05:08, 21 October 2011
  • Problem 7 (ECE301Summer2008asan)
    Determine the Fourier Series co-efficient for the following continuous time periodic signals.Show the de
    1 KB (182 words) - 10:05, 21 November 2008
  • ECE301:SanSummer08:Exam II (ECE301Summer2008asan)
    ...If a discrete time singal x[n] is periodic with period N, then the Fourier series coefficients <math>a_k</math> of the signal x[n] is also periodic with peri ...tinuous-time periodic signal x(t) with period T = 5 whose non-zero Fourier series coefficients <math>a_k</math> are given by
    4 KB (815 words) - 09:57, 21 November 2008
  • Fourier Series representation of continuous-time periodic signals
    #REDIRECT [[Fourier Series representation of continuous-time periodic signals (ECE301Summer2008asan)]]
    102 B (11 words) - 10:16, 21 November 2008
  • ECE 301 Fall 2007 mboutin Definitions
    ==[[ECE 301 Fall 2007 mboutin Fourier Series|Fourier Series]]== {{:ECE 301 Fall 2007 mboutin Fourier Series}}
    3 KB (297 words) - 15:56, 23 April 2013
  • ECE 301 Fall 2007 mboutin Fourier Coefficient LTI Transfer
    [[Category: Fourier Series]] When transferring coefficients of a fourier series through an LTI system, each value of <math> a_k\ </math> is multiplied by <
    842 B (120 words) - 11:21, 9 December 2008
  • ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab
    [[Category: Fourier Series]] =DT Fourier Series with a single MATLAB command! =
    5 KB (834 words) - 16:26, 23 April 2013
  • ECE 301 Fall 2007 mboutin Matlab
    ==[[ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab|DT Fourier Series in Matlab with ONE Command]]== {{:ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab}}
    1,000 B (121 words) - 11:50, 18 December 2008
  • ECE 301 Fall 2007 mboutin Common Questions on FS/FT Answered By Mimi
    [[Category: Fourier Series]] 2. Are Fourier Series for Periodic Signals Only?
    1 KB (186 words) - 16:25, 23 April 2013
  • ECE 301 Fall 2007 mboutin Geometric Series Note
    The Geometric Series formulas below still hold for <math> \alpha\ </math>'s containing complex e ...case, <math> \alpha=\frac{1}{2}e^{-j\omega} </math> in the above Geometric Series formula.
    998 B (145 words) - 16:40, 21 April 2013
  • ECE 301 Fall 2007 mboutin Meaning of Fourier Transform
    ...e basic idea of the various other Fourier transforms including the Fourier series of a periodic function." ...ference between the Fourier Series and Fourier Transform is that a Fourier Series can only be applied to periodic functions which can be broken into a finite
    3 KB (431 words) - 16:29, 23 April 2013
  • ECE 301 Fall 2007 mboutin Even/Odd Fourier Coefficients
    [[Category: Fourier Series]]
    936 B (157 words) - 11:11, 12 December 2008
  • ECE 301 Fall 2007 mboutin Fourier in Matlab
    [[Category: Fourier Series]]
    808 B (131 words) - 12:04, 18 December 2008
  • Main Page MA181Fall2008bell
    [[Fourier Series Homework_MA181Fall2008bell]]
    3 KB (390 words) - 05:35, 10 August 2010
  • Main Page ECE301Fall2008mboutin
    ...ll2008mboutin|Session 1: 9/2/2008]]: Phasors, Energy, Power, and Geometric Series '''Updated'''
    5 KB (720 words) - 05:10, 16 September 2013
  • ECE 302 Spring 2009 chihw Table of Formulas
    == Infinite geometric series formula assuming <math>|r|<1</math> ==
    370 B (57 words) - 04:45, 26 January 2009
  • Ashton Frierson's Favorite Theorem
    When a load resistance RT is connected to a voltage source ES with series resistance RS, maximum power transfer to the load occurs when RT is equal t
    726 B (126 words) - 10:57, 25 January 2009
  • Hw2 comments (ECE438BoutinSpring09)
    ...summation formula, note that some expressions are in the form of geometric series.
    797 B (145 words) - 07:36, 10 February 2009
  • Table of Formulas and Properties ECE301Fall2008mboutin
    (Look at the syntax of the geometric series below for an example.) This will allow other people to refer to your formul ! colspan="2" style="background: #eee;" | Series
    8 KB (989 words) - 06:20, 5 February 2009
  • THE REAL SOLUTION
    There are two ways to go about this...the first is use of an infinite series which is too painful to dream of at this time.
    1 KB (223 words) - 01:41, 18 February 2009
  • Reading guide (ECE438BoutinSpring2009)
    * PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409, ...38/FALL01/Fourier_notes1.pdf Prof. Pollak's supplementary notes on Fourier series]
    8 KB (1,226 words) - 10:40, 1 May 2009
  • HW2.1 Chris Cadwallader ECE302Fall2008sanghavi
    Recall geometric series:
    458 B (78 words) - 16:09, 9 September 2008
  • Homework4 ECE302Fall2008sanghavi
    [[4.2b Gregory Pajot_ECE302Fall2008sanghavi]] Note about arithmetic series, and random variable classification [[4.2b Henry Michl_ECE302Fall2008sanghavi]] More general sum of arithmetic series explanation
    6 KB (883 words) - 11:55, 22 November 2011
  • 4.2a Ken Pesyna ECE302Fall2008sanghavi
    ...mation term) by using a differentiated form of the commonly used geometric series equation: <math>\sum_{n=0}^\infty r^n = 1/(1-r)</math>
    386 B (67 words) - 06:43, 15 October 2008
  • 4.2b Gregory Pajot ECE302Fall2008sanghavi
    ...tion is solved by using the sum of an arithmetic series. In an arithmetic series, each successive term has a constant difference, which in this case is just
    442 B (77 words) - 06:47, 15 October 2008
  • 4.2b Henry Michl ECE302Fall2008sanghavi
    <math> \sum_{k=1}^n k </math> is a arithmetic series because it has a common difference of 1.<BR> The general sum of an arithmetic series is <math> n \frac {(a_1+a_n)} {2}</math> where <math>a_1</math> is the fir
    375 B (70 words) - 06:47, 15 October 2008
  • 5.1 - Spencer Mitchell ECE302Fall2008sanghavi
    More over this can be simplified using the arithmetic series
    212 B (42 words) - 14:10, 6 October 2008
  • 5.1 - Ben Carter ECE302Fall2008sanghavi
    ...\frac{n}{3} + \frac{n}{2} + \frac{n}{1}</math> is '''not''' an arithmetic series!
    553 B (96 words) - 18:29, 6 October 2008
  • ChallengeProblem MA181Fall2008bell
    ...in order to be guaranteed the same accuracy for averaging N = 1 and N = 2 series without averaging, you would have to go to the N = 16. That is a great dea
    3 KB (599 words) - 07:47, 13 November 2008
  • Multimeans of Pi Series MA181Fall2008bell
    We will start this from the beginning with the series: ...say we're too lazy to find another method. We just want to work with this series. What can we do to make it converge to <math>\frac{\pi}{4}</math> faster?
    10 KB (1,816 words) - 14:32, 8 December 2008
  • Page 753, MA181Fall2008bell
    ...t do you do for this one when n=2? I was thinking about making a geometric series but if you make n=1 then it becomes <math>4^{n+1}</math> in the denominator
    704 B (136 words) - 13:34, 30 October 2008
  • Homework 19 MA181Fall2008bell
    == Absolute/Conditional Convergence for Power Series == ...y convergent interval. Only when the endpoint converges and it causes the series to alternate, while its absolute value fails, can you say that it is condit
    1 KB (214 words) - 15:57, 8 November 2008
  • Exam II MA181Fall2008bell
    '''Convergent and Divergent Series Tests''' Unless <math>a_{n}\rightarrow 0</math>, the series diverges
    1 KB (208 words) - 14:31, 18 November 2008
  • Fourier Series Homework MA181Fall2008bell
    Find the Fourier Sine Series for:
    408 B (71 words) - 11:35, 6 December 2008
  • Favorite Theorem MA375Fall2008walther
    ...ous Indian mathematician Ramanujan. He came up with the following infinite series for pi:
    363 B (56 words) - 07:44, 30 August 2008
  • Dave's Sln 09/09/08 MA504Fall2008danielli
    2) Ditto with series. The partial sums of series are sequences, so the same result should hold.
    1 KB (243 words) - 08:41, 22 October 2008
  • Session 1 ECE301Fall2008mboutin
    == Geometric Series ==
    952 B (149 words) - 17:51, 5 November 2008
  • HW1.3 Zachary Curosh - Euler's Formula ECE301Fall2008mboutin
    ...ways, using calculus (derivatives), differential equations, or the Taylor series, which is used here. ...variable ''z''. This is possible because the radius of convergence of each series is infinite. We then find that
    2 KB (362 words) - 06:05, 11 July 2012
  • HW1.3 Chris Cadwallader - Euler's forumla ECE301Fall2008mboutin
    Using Taylor Series:
    920 B (137 words) - 04:48, 23 September 2011
  • HW1.4 Ananya Panja ECE301Fall2008mboutin
    ...ine are common periodic functions, with period 2π. The subject of Fourier series investigates the idea that an 'arbitrary' periodic function is a sum of tri
    1 KB (253 words) - 06:04, 14 April 2010
  • HW2-A Xujun Huang ECE301Fall2008mboutin
    non-periodic DT signals: t2= 1 which yields a series of scatted points
    231 B (36 words) - 16:29, 10 September 2008
  • HW2-D Paul Scheffler ECE301Fall2008mboutin
    Since y(t)=x(2t) does not yield the same results for by series, it is called time variant.
    786 B (181 words) - 09:13, 11 September 2008
  • HW2-E Austin Melnyk ECE301Fall2008mboutin
    ...tep function can be shown by a summation of shifted delta functions over a series of - <math>\infty </math> to +<math>\infty</math>.
    796 B (155 words) - 12:37, 12 September 2008
  • Homework 4 ECE301Fall2008mboutin
    ==Periodic CT Signal, Fourier Series Coefficients== ==Periodic DT Signal, Fourier Series Coefficients==
    12 KB (1,544 words) - 10:27, 16 September 2013
  • HW4.1 Jun Hyeong Park ECE301Fall2008mboutin
    [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
    1 KB (217 words) - 10:04, 16 September 2013
  • HW4.1 Austin Melnyk ECE301Fall2008mboutin
    [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
    1,021 B (156 words) - 09:58, 16 September 2013
  • HW4.1 Wei Jian Chan ECE301Fall2008mboutin
    [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
    1 KB (197 words) - 09:59, 16 September 2013
  • HW4.1 Ronny Wijaya ECE301Fall2008mboutin
    [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
    1 KB (192 words) - 09:58, 16 September 2013

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett