text:
University of Florida/Egm6341/s10.Team2/HW6

Statement
P.32-1 1. Compute the arc length to O(1e-10), using error analysis of composite trapezoidal rule, and verify the results by Romberg quadrature rule, Clenshaw-Curtis rule and chebfun/sum command.

2. Compute it again by means of the elliptical quadrature formula.

Solution
clear;clc % function Definition syms e x   r=(1-e^2)/(1-e*cos(x)); drdx=diff(r,'x'); %Define dr/dx dl=(r^2+drdx^2)^(1/2); %Define dl   d2ldx2=diff(dl,'x',2); %Define 2nd derivative of dl    format long e=sin(pi/12); x=linspace(0,pi/3,2^14+1); d2l = -(1/4)./((1-e^2).^2./(1-e.*cos(x)).^2+(1-e^2).^2./(1-e.*cos(x)).^4.*e^2.*sin(x).^2).^(3/2).*(-2*(1-e^2).^2./(1-e.*cos(x)).^3.*e.*sin(x)-4*(1-e^2).^2./(1-e.*cos(x)).^5.*e^3.*sin(x).^3+2*(1-e^2).^2./(1-e.*cos(x)).^4.*e^2.*sin(x).*cos(x)).^2+(1/2)./((1-e^2).^2./(1-e.*cos(x)).^2+(1-e^2).^2./(1-e.*cos(x)).^4.*e^2.*sin(x).^2).^(1/2).*(4*(1-e^2).^2./(1-e.*cos(x)).^4.*e^2.*sin(x).^2-2*(1-e^2).^2./(1-e.*cos(x)).^3.*e.*cos(x)+20*(1-e^2).^2./(1-e.*cos(x)).^6.*e^4.*sin(x).^4-20*(1-e^2).^2./(1-e.*cos(x)).^5.*e^3.*sin(x).^2.*cos(x)+2*(1-e^2).^2./(1-e.*cos(x)).^4.*e^2.*cos(x).^2); %plot(x,d2l) M2=max(abs(d2l)); n_theory=ceil((pi^3*M2*1e10./(27*12)).^(1/2)) n_computed=length(x)-1

%Composite Trapezoidal [I,step]=ctrap('((1-sin(pi/12)^2)^2/(1-sin(12/pi)*cos(x))^2+(1-sin(pi/12)^2)^2/(1-sin(pi/12)*cos(x))^4*sin(pi/12)^2*sin(x)^2)^(1/2)',0,pi/3,1e-4)

%Romberg Quadrature e=sin(pi/12); z = @(x) ((1-e.^2).^2./(1-e.*cos(x)).^2+(1-e.^2)^2./(1-e.*cos(x)).^4.*e.^2.*sin(x).^2).^(1/2); I_romb=rombquad(z,0,pi/3,10)

%Clenshaw-Curtis e=sin(pi/12); [xx,w]=fclencurt(2^10+1,0,pi/3); yy=((1-e.^2).^2./(1-e.*cos(xx)).^2+(1-e.^2)^2./(1-e.*cos(xx)).^4.*e.^2.*sin(xx).^2).^(1/2); I_cc=w'*yy

%Chebfun/Sum yy = chebfun('((1-sin(pi/12).^2).^2./(1-sin(pi/12).*cos(x)).^2+(1-sin(pi/12).^2)^2./(1-sin(pi/12).*cos(x)).^4.*sin(pi/12).^2.*sin(x).^2).^(1/2)',[0 pi/3]); II=sum(yy)

%Elliptical Integral of second kind, using the adaptive simpson's rule clear;clc format long e=sin(pi/12); b=@(x) sqrt(1-e.^2.*sin(x).^2); I=quad(b,0,pi/3,1e-10)

%function ctrap function [I,step] = ctrap(f,a,b,eps) n=1; h=(b-a)/2; I1=0; I2=(subs(sym(f),findsym(sym(f)),a) + subs(sym(f),findsym(sym(f)),b))*h; while abs(I2-I1)>eps n=2*n; h=(b-a)/n; I1=I2; I2=0; for i=0:n-1 x=a+h*i; x1=x+h; I2=I2+(h/2)*(subs(sym(f),findsym(sym(f)),x)+...                       subs(sym(f),findsym(sym(f)),x1)); end end I=I2; step=n;

%function rombquad function I_romb = rombquad(f,a,b,m) h = 2.^((1:m)-1)*(b-a)/2^(m-1);            % These are the intervals used. k1 = 2.^((m-2):-1:-1)*2+1;                 % Index into the intervals. f1 = feval(f,a:h(1):b);                    % Function evaluations. R = zeros(1,m);                            % Pre-allocation. % Define the starting vector: for ii = 1:m R(ii) = 0.5*h(ii)*(f1(1)+2*...   sum(f1(k1(end-ii+1):k1(end-ii+1)-1:end-1)) + f1(end)); end % Interpolations: for jj = 2:m jpower = (4^(jj-1)-1); for kk = 1:(m-jj+1) R(kk) = R(kk)+(R(kk)-R(kk+1))/jpower; end end I_romb = R(1);

%function fclencurt function [x,w]=fclencurt(N1,a,b) N=N1-1; bma=b-a; c=zeros(N1,2); c(1:2:N1,1)=(2./[1 1-(2:2:N).^2 ])'; c(2,2)=1; f=real(ifft([c(1:N1,:);c(N:-1:2,:)])); w=bma*([f(1,1); 2*f(2:N,1); f(N1,1)])/2; x=0.5*((b+a)+N*bma*f(1:N1,2));

Results Discussion

1) For error analysis, the n required for O(1e-10) is 16756.

2) For actual performace of trapezoidal rule, n is 16384.

3) For the first method, I = 1.263690485847868, I_romb = 1.263690485847868, I_cc = 1.263690485847865, II = 1.263690485847865.

4) For the second method, I = 1.036826643842352. This is because theta is defined differently in both cases.

Author
Egm6341.s10.team2.lee 20:58, 7 April 2010 (UTC)

Statement
P.33-2

At an instant t+dt, consider v+dv to show that

$$ dP_{y'} = mVd\gamma \quad $$

after neglecting the higher order terms.

Solution

The Above figure represents the original axes and the new axes. It also shows the vector representations of the velocities at time=t and time=t+dt.

Our goal is to identify the following:

$$ dPy' = mV_{y'} $$

The velocity at time t+dt is represented by V+dV. This means an infinitesimally small amount of time has elapsed. With this small change in time the angle $$ d\gamma $$ is considered to be small.

Using trigonometry to express the component of V+dV that is in the direction of Y', we write the following

$$ V_{y'} = \sin (d\gamma)[V+dV] $$

Using Taylor Series expansion to approximate the sine of the small angle (as described in Small-Angle Approximation), we can identify that for small values of the angle:

$$ \sin(d\gamma) = d \gamma $$

Using this approximation the following can be written:

$$ V_{y'} = d\gamma[V+dV] = d \gamma V + d \gamma dV $$

By ignoring the higher order term of the previous result we are able to show:

$$ dPy' = mV_{y'} = m(Vd\gamma) $$

Author
Solved by--Guillermo Varela (GV)

Statement
P.35-3

From the discussion in the above mentioned slides it we have the following equation:

$$\begin{bmatrix}

A_{1,1} &A_{1,2} &A_{1,3}  &A_{1,4} \\ A_{2,1} &A_{2,2} &A_{2,3}  &A_{2,4} \\ A_{3,1} &A_{3,2}  &A_{3,3}   &A_{3,4}  \\ A_{4,1} &A_{4,2}  &A_{4,3}  &A_{4,4} \end{bmatrix}\begin{Bmatrix} c_0\\ c_1\\ c_2\\ c_3 \end{Bmatrix}=\begin{Bmatrix} Z_i\\ Z_i'\\ Z_{i+1}\\ Z_{i+1}' \end{Bmatrix}$$

The first two rows of matrix A, is given. Calculate the rows 3 and 4.So that the co-efficients can be expressed as below:

$$\begin{Bmatrix} c_0\\ c_1\\ c_2\\ c_3 \end{Bmatrix}=\begin{bmatrix}

A_{1,1} &A_{2,1} &A_{3,1}  &A_{4,1} \\ A_{1,2} &A_{2,2} &A_{3,2}  &A_{4,2} \\ A_{1,3} &A_{2,3}  &A_{3,3}   &A_{4,3}  \\ A_{1,4} &A_{2,4}  &A_{3,4}  &A_{4,4} \end{bmatrix}\begin{Bmatrix} Z_i\\ Z_i'\\ Z_{i+1}\\ Z_{i+1}' \end{Bmatrix}$$

Solution
From the discussion in P.35-2 and P.35-3 we have the following equations:
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$$  \displaystyle Z(s)=\sum_{i=0}^{3}c_is^i=\sum_{i=1}^{3}N_i(s)d_i $$   (2 p35-2)
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$$\displaystyle d_1=Z_i$$
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$$\displaystyle d_3=Z_{i+1}$$

$$\displaystyle d_2=\dot{Z_i}$$

$$\displaystyle d_4={\dot{Z}_{i+1}}$$ (3 p35-2)
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$$  \displaystyle \dot{Z}=\frac{dZ}{dt}=\underbrace{\frac{dZ}{ds}}_{Z'}.\frac{ds}{dt} $$   (4 p35-2) Using $$\frac{ds}{dt}=\frac{1}{h}$$ and the above equations we have shown the first two rows of the matrix A to be $$\begin{bmatrix} 1 &0 &0  &0 \\ 0&1  &0  &0 \end{bmatrix}$$
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Using the equations above we have
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$$  \displaystyle d_3=Z_{i+1}=Z(s=1)=c_0+c_1+c_2+c_3 $$   (1)
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$$  \displaystyle d_4=\dot{Z}_{i+1}=\frac{1}{h}Z'(s=1)=c_1+2c_2+3c_3 $$   (2)
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Putting the results in matrix form we have eqn 7 P.35-3.

$$\begin{bmatrix} 1 &0 &0  &0 \\ 0 &1  &0  &0 \\ 1 &1  &1  &1 \\ 0 &1  &2  &3 \end{bmatrix}\begin{Bmatrix} c_0\\ c_1\\

c_2\\

c_3\end{Bmatrix}= \begin{Bmatrix} Z_i\\ Z'_i\\ Z_{i+1}\\ Z'_{i+1} \end{Bmatrix}$$

Author
--Egm6341.s10.team2.niki 21:45, 5 April 2010 (UTC)

--Proofread by Egm6341.s10.team2.lee 00:38, 6 April 2010 (UTC)

Statement
P. 35-4

Solution
The Inverse of the Matrix $$ A=\begin{bmatrix} 1& 0& 0& 0\\ 0& 1& 0& 0\\ 1& 1& 1& 1\\ 0& 1& 2& 3 \end{bmatrix}\;\; $$ can be found out by doing row operations as follows:

The augmented matrix of A and I is represented by

$$ X=\begin{bmatrix} 1& 0& 0& 0& |\; 1& 0& 0& 0\\ 0& 1& 0& 0& |\; 0& 1& 0& 0\\ 1& 1& 1& 1& |\; 0& 0& 1& 0\\ 0& 1& 2& 3& |\; 0& 0& 0& 1 \end{bmatrix} $$

By carrying out row transformation: $$R_{3}\rightarrow 3R_{3}-R_{4}$$ on the augmented matrix 'X', it becomes:

$$ X=\begin{bmatrix} 1& 0& 0& 0& |\; 1& 0& 0& 0\\ 0& 1& 0& 0& |\; 0& 1& 0& 0\\ 3& 2& 1& 0& |\; 0& 0& 3& -1\\ 0& 1& 2& 3& |\; 0& 0& 0& 1 \end{bmatrix} $$

By carrying out row transformation: $$R_{3}\rightarrow R_{3}-3R_{1}-2R_{2}$$ on the augmented matrix 'X', it becomes:

$$ X=\begin{bmatrix} 1& 0& 0& 0& |\; +1& 0& 0& 0\\ 0& 1& 0& 0& |\; +0& 1& 0& 0\\ 0& 0& 1& 0& |\; -3& -2& 3& -1\\ 0& 1& 2& 3& |\; +0& 0& 0& 1 \end{bmatrix} $$

By carrying out row transformation: $$R_{4}\rightarrow R_{4}-R_{2}-2R_{3}$$ on the augmented matrix 'X', it becomes:

$$ X=\begin{bmatrix} 1& 0& 0& 0& |\; +1& 0& 0& 0\\ 0& 1& 0& 0& |\; +0& 1& 0& 0\\ 0& 0& 1& 0& |\; -3& -2& 3& -1\\ 0& 0& 0& 3& |\; +6& 3& -6& 3 \end{bmatrix} $$

Finally, by carrying out row transformation: $$R_{4}\rightarrow R_{4}/3$$ on the augmented matrix 'X', it becomes:

$$ X=\begin{bmatrix} 1& 0& 0& 0& |\; +1& 0& 0& 0\\ 0& 1& 0& 0& |\; +0& 1& 0& 0\\ 0& 0& 1& 0& |\; -3& -2& 3& -1\\ 0& 0& 0& 1& |\; +2& 1& -2& 1 \end{bmatrix} $$

Here the Left part of the augmented matrix is reduced to a unit matrix $$\;I_{(4X4)}$$ by carrying out the row operations and as a result we obtained a transformed matrix on the right part of the augmented matrix which is $$\; A^{-1}$$. Therefore,

$$ A^{-1}=\begin{bmatrix} +1& 0& 0& 0\\ +0& 1& 0& 0\\ -3& -2& 3& -1\\ +2& 1& -2& 1 \end{bmatrix} $$

The same result can be verified by using the Matlab code below and 'B' is the value of $$\; A^{-1}$$ in the code.

Matlab code to verify the inverse of matrix- 'A':

Author
Solved by--Srikanth Madala (SM)

Statement
P. 35-4

To identify the set of basis functions: $$\; N_{1}(s),N_{2}(s),N_{3}(s) \; and \; N_{4}(s)$$ and plot them as a function of 's' varying between $$\; s=0 \;and\; s=1$$

Solution
Using the $$\; A^{-1}$$ calculated in the above problem, we can find out the values of the coefficients- $$\; C_{0},C_{1},C_{2} \; and \; C_{3}$$ in terms of $$Z_{i},Z'_{i},Z_{i+1} \; and \; Z'_{i+1}$$ by using the following equation:

$$ \begin{bmatrix} C_{0}\\ C_{1}\\ C_{2}\\ C_{3} \end{bmatrix} =

\begin{bmatrix} 1& 0& 0& 0\\ 0& 1& 0& 0\\ -3& -2& 3& -1\\ 2& 1& -2& 1 \end{bmatrix}\begin{bmatrix} Z_{i}\\ Z'_{i}\\ Z_{i+1} \\ Z'_{i+1} \end{bmatrix} $$

Therefore, $$ \begin{Bmatrix} C_{0}=Z_{i}\\ C_{1}=Z'_{i}\\ C_{2}=-3Z_{i}-2Z'_{i}+3Z_{i+1}-1Z'_{i+1}\\ C_{3}=2Z_{i}+1Z'_{i}-2Z_{i+1}+1Z'_{i+1} \end{Bmatrix} $$

But, we know that:

$$ Z\left ( s \right )=\sum_{i=1}^{4}N_{i}\left ( s \right )d_{i}=\sum_{i=0}^{3}C_{i}s^{i} $$

$$N_{1}\left ( s \right )d_{1}+N_{2}\left ( s \right )d_{2}+N_{3}\left ( s \right )d_{3}+N_{4}\left ( s \right )d_{4}=C_{0}s^{0}+C_{1}s^{1}+C_{2}s^{2}+C_{3}s^{3}$$

By definition: $$d_{1}:=Z_{i},\; d_{2}:=Z'_{i},\; d_{3}:=Z_{i+1} \;and\; d_{4}:=Z'_{i+1}$$ and also we already know the values of the coefficients- $$\; C_{0},C_{1},C_{2} \; and \; C_{3}$$ in terms of $$Z_{i},Z'_{i},Z_{i+1} \; and \; Z'_{i+1}.$$ Therefore, plugging these values in the above equation, gives us:

$$ N_{1}\left ( s \right )Z_{i}+N_{2}\left ( s \right )Z'_{i}+N_{3}\left ( s \right )Z_{i+1}+N_{4}\left ( s \right )Z'_{i+1}=Z_{i}+Z'_{i}s+\left[-3Z_{i}-2Z'_{i}+3Z_{i+1}-Z'_{i+1} \right ]s^{2}+\left [2Z_{i}+Z'_{i}-2Z_{i+1}+Z'_{i+1}  \right ]s^{3} $$

$$ N_{1}\left ( s \right )Z_{i}+N_{2}\left ( s \right )Z'_{i}+N_{3}\left ( s \right )Z_{i+1}+N_{4}\left ( s \right )Z'_{i+1}=Z_{i}\left ( 1-3s^{2}+2s^{3} \right)+Z'_{i}\left ( s-2s^{2}+s^{3} \right )+Z_{i+1}\left (3s^{2}-2s^{3} \right)+ Z'_{i+1} \left (-s^{2}+s^{3}\right ) $$

By comparing LHS and RHS, we can deduce the following:

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$$N_{1}\left ( s \right )=\left ( 1-3s^{2}+2s^{3} \right)$$
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$$N_{2}\left ( s \right )=\left ( s-2s^{2}+s^{3} \right )$$

$$N_{3}\left ( s \right )=\left (3s^{2}-2s^{3} \right)$$

$$N_{4}\left ( s \right )=\left (-s^{2}+s^{3}\right )$$ Matlab code to generate the following plots:
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Author
Solved by--Srikanth Madala (SM) Proofread by--Egm6341.s10.team2.lee 02:13, 8 April 2010 (UTC)

Statement
P.36-1 Express s in terms of t

Solution
Since

$$ t(s) = t_{i} + \frac{t_{i+1}-t_{i}}{1-0}S = t_{i} + hS $$

Solving for S,

$$ s(t) = \frac{t-t_{i}}{h} $$

Verify:

$$ s(t_{i}) = 0 \quad and \quad s(t_{i+1}) = 1 $$

Author
Egm6341.s10.team2.lee 00:10, 5 April 2010 (UTC)

Statement
P. 36-2 By enforcing compliance with the DE at the point $$Z_{i+1}=Z(s=1/2)$$ show that
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$$  \displaystyle Z_{i+1/2}=Z(s=1/2)=\frac{1}{2}[Z_i+Z_{i+1}]+\frac{h}{8}[f_i-f_{i+1}] $$
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Solution
We have from eqn 1 P. 35-4 and Prob 4 of HW6 the following
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$$  \displaystyle \begin{bmatrix} c_0\\ c_1\\ c_2\\ c_3 \end{bmatrix}=\begin{bmatrix} 1 &0  &0  &0 \\ 0  &1  &0  & 0\\ -3 &-2  &3  &-1\\ 2 &1  &-2  &1 \end{bmatrix}\begin{Bmatrix} Z_i\\ Z_i'\\ Z_{i+1}\\ Z_{i+1}' \end{Bmatrix}$$ (1 p 35-4)
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In eqn 2 P. 35-2 at the point $$s=\frac{1}{2}$$ we get
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$$  \displaystyle Z(s=\frac{1}{2})=Z_i+Z'_i(\frac{1}{2})+[-3Z_i-2Z'_i+3Z_{i+1}-Z_{i+1}](\frac{1}{4})+[2Z_i+Z'_i-2Z_{i+1}+Z'_{i+1}](\frac{1}{8}) $$   (1)
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$$  \displaystyle Z(s=\frac{1}{2})=Z_i[1-\frac{3}{4}+\frac{1}{4}]+Z'_i[\frac{1}{2}-\frac{1}{2}+\frac{1}{8}]+Z_{i+1}[\frac{3}{4}-\frac{1}{4}]+Z'_{i+1}[\frac{-1}{4}+\frac{1}{8}] $$   (2)
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$$  \displaystyle Z(s=\frac{1}{2})=Z_i[\frac{1}{2}]+Z'_i[\frac{1}{8}]+Z_{i+1}[\frac{1}{2}]+Z'_{i+1}[-\frac{1}{8}] $$   (3)
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$$  \displaystyle Z(s=\frac{1}{2})=\frac{1}{2}[Z_i+Z_{i+1}]+\frac{1}{8}[Z'_i-Z'_{i+1}] $$   (4)
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But we know from eqn 1P. 36-1 that $$Z'=h\dot{Z}$$. By imposing collocation we have $$Z_i=f_i$$ and $$Z_{i+1}=f_{i+1}$$. Using these results in the above equation we get

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$$  \displaystyle Z_{i+1/2}=Z(s=1/2)=\frac{1}{2}[Z_i+Z_{i+1}]+\frac{h}{8}[f_i-f_{i+1}] $$
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Author
--Egm6341.s10.team2.niki 23:03, 5 April 2010 (UTC)

--Proofread by Egm6341.s10.team2.lee 00:37, 6 April 2010 (UTC)

Statement
P.36-2 By enforcing compliance with the DE at the point $$Z_{i+1}=Z(s=1/2)$$ show that
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$$  \displaystyle Z'_{i+1/2}=Z'(s=1/2)=-\frac{3}{2}[Z_i-Z_{i+1}]-\frac{1}{2}[Z'_i+Z'_{i+1}] $$
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Solution
We have from eqn 1 P.35-4 and Prob 4 of HW6 the following
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$$  \displaystyle \begin{bmatrix} c_0\\ c_1\\ c_2\\ c_3 \end{bmatrix}=\begin{bmatrix} 1 &0  &0  &0 \\ 0  &1  &0  & 0\\ -3 &-2  &3  &-1\\ 2 &1  &-2  &1 \end{bmatrix}\begin{Bmatrix} Z_i\\ Z_i'\\ Z_{i+1}\\ Z_{i+1}' \end{Bmatrix}$$  (1 p 35-4)
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We know from eqn 3 P.35-3
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$$  \displaystyle Z'(s)=\sum_{i=1}^{3}ic_is^{i-1} $$
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Expanding and substituting for the constants we get:

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$$  \displaystyle Z'(s=1/2)=c_1+2c_2(\frac{1}{2})+3c_3(\frac{1}{4}) $$   (1)
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$$  \displaystyle Z'(s=1/2)=Z_i+2[-3Z_i-2Z'_i+3Z_{i+1}-Z'_{i+1}](\frac{1}{2})+3[2Z_i+Z'_i-2Z_{i+1}+Z'_{1+1}](\frac{1}{4}) $$   (2) Rearranging terms we get
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$$  \displaystyle Z'(s=1/2)=Z_i[-3+\frac{3}{2}]+Z'_i[1-2+\frac{3}{4}]+Z_{i+1}[3-\frac{3}{2}]+Z'_{i+1}[-1+\frac{3}{4}] $$   (3)
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$$  \displaystyle Z'_{i+1/2}=Z'(s=1/2)=-\frac{3}{2}[Z_i-Z_{i+1}]-\frac{1}{2}[Z'_i+Z'_{i+1}] $$ which is the required result.
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Author
--Egm6341.s10.team2.niki 23:29, 5 April 2010 (UTC)

--Proofread by Egm6341.s10.team2.lee 00:37, 6 April 2010 (UTC)

Statement
P. 36-3 To prove that the condition for collocation at $$\; t_{i+1/2}$$ is:

$$Z_{i+1}=Z_{i}+\frac{\frac{h}{2}}{3}\left [ f_{i}+4f_{i+\frac{1}{2}}+ f_{i+1}\right ]$$

Solution
From P.36-2 we know that:

$$Z'_{i+\frac{1}{2}}=\frac{-3}{2}\left ( Z_{i}-Z_{i+1} \right )-\frac{1}{4}\left ( Z'_{i}+Z'_{i+1} \right )$$

using $$\dot{Z}=\frac{1}{h}Z' \;$$, we get:

$$\dot{Z}_{i+\frac{1}{2}}=\frac{-3}{2h}\left ( Z_{i}-Z_{i+1} \right )-\frac{1}{4}\left ( \dot{Z}_{i}+\dot{Z}_{i+1} \right )$$

$$\dot{Z}_{i+\frac{1}{2}}=\frac{-3}{2h}\left ( Z_{i}-Z_{i+1} \right )-\frac{1}{4}\left ( f_{i}+f_{i+1} \right )$$

Subtracting $$\; f_{i+\frac{1}{2}}$$ from both sides:

$$\dot{Z}_{i+\frac{1}{2}}-f_{i+\frac{1}{2}}=\frac{-3}{2h}\left ( Z_{i}-Z_{i+1} \right )-\frac{1}{4}\left ( f_{i}+f_{i+1} \right )-f_{i+\frac{1}{2}}$$

We know that in order for the collocation to be satisfied at point $$t_{i+1/2}$$, $$\; \dot{Z}_{i+\frac{1}{2}}-f_{i+\frac{1}{2}}=0$$

$$\therefore \frac{-3}{2h}\left ( Z_{i}-Z_{i+1} \right )-\frac{1}{4}\left ( f_{i}+f_{i+1}+4f_{i+\frac{1}{2}}\right )=0$$

$$\left ( Z_{i+1}-Z_{i} \right )= \frac{2h}{3*4}\left [f_{i}+f_{i+1}+4f_{i+\frac{1}{2}} \right ]$$

 * {| style="width:60%" border="0"

 * style="width:92%; padding:10px; border:2px solid #8888aa" |
 * style="width:92%; padding:10px; border:2px solid #8888aa" |

$$\therefore \; Z_{i+1}=Z_{i}+ \frac{\frac{h}{2}}{3}\left [f_{i}+4f_{i+\frac{1}{2}}+f_{i+1} \right ]$$

 *

 * }

Author
Solved by-Srikanth Madala (SM)

==Problem 10: Commentary on the matlab code available on Kessler's paper for the evaluation of polynomials and their coefficients in the trapezoidal rule error==

Statement
P. 37-1

Run Kessler's code to reproduce his table, and complete the HW of P.30-2, i.e., follow Kessler's code line by line to produce the pairs $$\; [P_{2}(x),P_{3}(x)],\; [P_{4}(x),P_{5}(x)],\; [P_{6}(x),P_{7}(x)]$$ and write comments on his code.

Solution
Matlab code

Author
Solved by-Srikanth Madala (SM)

Statement
P. 37-1

An Ellipse was given:

$$ r (\theta) = \frac{a(1-e^{2})}{1-e \cos( \theta)} $$

where:

$$ eccentricity=e= \sin(\frac{\pi}{12}) $$

$$ a=1 $$

Calculate the Circumference of the elipse as follows:

Method 1:

$$ C= \int_{0}^{ 2 \pi } \left[r^{2} + (\frac{dr}{d\theta})^{2} \right] ^{\frac{1}{2}} $$

Method 2:

$$ C = 4aE(e^{2}) $$

$$ E(e^{2}) = \int_{0}^{\frac{\pi}{2}} \left[1 - e^{2}\sin(\theta) \right] ^{\frac{1}{2}}d\theta $$

Use Team 4's Solution to debug own code and compare results.

Composite Trapezoidal Rule
After looking at Team 4's codes I was able to gain knowledge into checking for the error of the numerical integration. Like our team, they also used the 'Quad' command as the theoretical answer to compare their results to. In addition they used an extra argument to the 'Quad' command which provides for more accurate results by providing the order of the error.

In addition the way the derivative of the radius relative to the angle is calculated differently. We used Matlab's Symbolic toolbox to find the integration results while team 4 used the theoretical results then plugged in values for their respective variables.

Regarding Method 2, the same applies.

Below are our results

Method 1

Method 2

Matlab Code Used
Modified Matlab code for composite Trapezoidal calculation

Clencurt Command
Comparing the two codes used for using the 'clencurt' command were different. Our approach took a simple way to just use the weights to calculate our results with no error bounding, as it was done by Team 4.

Method 1

Method 2

Modified Matlab Code For Clencurt
Matlab code

Romberg Table
The solution approaches to creating the Romberg Table were different from both teams. Team 4's approach uses the simple trapezoidal rule formula as compared to Our team's approach of using the matlab 'trapz' command. In addition the method used to calculate row by row of the Romberg Table were different.

When running Team 4's code I'm not able to get all of the Romberg Table to be completed. At the moment Team 2 is continiously working on figuring out the cause for the difference of the solutions as shown below:

Method 1

Method 2

Author
Solved by--Guillermo Varela (GV)

Signatures
Solved problems 3,7,8 and proofread --Niki Nachappa (NN) 23:31, 5 April 2010 (UTC)

Solved problems 4,5,9,10 --Srikanth Madala (SM)

Solved problems 2, 11 and Proofread 4, 8  --Guillermo Varela (GV) 20:50, 7 April 2010 (UTC)

Solved problems 1,6 and Proofread 3,7,8 --Egm6341.s10.team2.lee 02:12, 8 April 2010 (UTC)

Proofread problems 4,9,5,10 --Patrick O'Donoughue(PO)


license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/

title: File:HW-6.2.2-2.jpg


title: File:HW-6.2-2.jpg


text:
User talk:Stevenarntson/winter 2010

AndrewL 06:31, 23 February 2010 (UTC) please look at my Project 6 review and let me know what you think.. Thanks Thanks, Camille Funk
 * English2010 deleted as you wanted. --Gbaor 09:12, 12 January 2010 (UTC)
 * --Jessolson 04:13, 14 January 2010 (UTC) hey can you check out what i plan on doing as my project? let me know, im a little skeptical if i should do it, i would like your opinion, thanks!
 * ok, i updated my page and included the guilines for the chapters! check it out! Jessolson
 * This is AndrewL from you English composition class. I just updated my page and wrote what i was doing for my project. Please let me know if it meets your standards thanks.AndrewL 09:23, 24 January 2010 (UTC)--AndrewL 09:23, 24 January 2010 (UTC)
 * Steven, my poems are usually about half that length (100words) I can add more poems to my plan. Caitlynlittle
 * Hi Steve. I found an awesome small press bookstore today in the Alley on Broadway. You probably have already been there, its called Pilot Books. the url is pilotbooksseattle.com. Please encourage your students this quarter to support it, Bailey Coy's closure was a huge loss to Seattle.
 * Camille,
 * Yes, I know the place, and added it recently to the Seattle Resources list on my wiki here.
 * Thanks! Steve

 * Steve - I looked at the Mail Art page you posted. I found it really cool! Also, I wanted to mention that I hadn't even thought about the similarities to PostSecret, until I looked at that link. Also, I'm feeling much better, and I've been working on my final project continually. I'll tell you more about it next week. ThanksKadenceEnglehardt 02:26, 20 February 2010 (UTC)

Local Aid/Shelter For Victims of Human Trafficking (Modern Day Slavery)
Youth homeless shelter

 *

Safe center for Asian and Pacific Ilsander women and their families

 *

Washington Anti-trafficking Response Network

 *

Learn more, raise awareness and help end human trafficking.

Westlake Park, 1st Sunday of each month at 1:30-2:00 pm

CamilleFunk 00:54, 10 February 2010 (UTC)

title: User talk:Stevenarntson/winter 2010


text:
Other Force Field Analysis Figures

Back to ID Homepage > ID force field analysis > What is force field analysis? > How force field analysis is presented in a figure? > How force field analysis is used?

Here are more examples representative of force field analysis. Do you notice anything different in the two figures below than those we have seen in the previous pages? What do you think about how this difference works in force field analysis?

As the red marks point out, there are different numbers assigned to each force. This method makes the figures much clearer because weights are added to these forces to indicate the relative importance of each force. Usually positive numbers are used in driving forces and negative numbers are used in restraining forces.

Click the Next button to continue.

title: Other Force Field Analysis Figures


title: File:FFA5-yh.jpg


title: File:HW-6.2.3.jpg


text:
Gospel of John (CBS)/Week 9

Welcome to the last unit in the Gospel of John and the next to last week of this class. We will cover the Epilogue this week, then review for the final exam next week.

Assignments

 * 1) Read John 21:1-25
 * 2) Write a well developed response that expands upon this week's topic.
 * 3) Complete the Study Guide
 * 4) Take the Unit Test
 * 5) Check last test scores (highly recommended!)

Discussion
This week's discussion will be held at TIME on DATE in the AWF virtual universe, Agape World at the AWF School facility.There is a section on the talk page where you can post topics and questions for us to go over. If you are unable to make it, your questions can also be posted in a separate section to the talk page, where I will do my best to answer them shortly.

Handouts

 * Study Guide -20 questions, due before test

Chapter 21
''Christ appears to his disciples. (1-14) His discourse with Peter. (15-19) Christ's declaration concerning John. (20-24) The conclusion. (25)''

Verses 1-14 Christ makes himself known to his people, usually in his ordinances; but sometimes by his Spirit he visits them when employed in their business. It is good for the disciples of Christ to be together in common conversation, and common business. The hour for their entering upon action was not come. They would help to maintain themselves, and not be burdensome to any. Christ's time of making himself known to his people, is when they are most at a loss. He knows the temporal wants of his people, and has promised them not only grace sufficient, but food convenient. Divine Providence extends itself to things most minute, and those are happy who acknowledge God in all their ways. Those who are humble, diligent, and patient, though their labours may be crossed, shall be crowned; they sometimes live to see their affairs take a happy turn, after many struggles. And there is nothing lost by observing Christ's orders; it is casting the net on the right side of the ship. Jesus manifests himself to his people by doing that for them which none else can do, and things which they looked not for. He would take care that those who left all for him, should not want any good thing. And latter favours are to bring to mind former favours, that eaten bread may not be forgotten. He whom Jesus loved was the first that said, It is the Lord. John had cleaved most closely to his Master in his sufferings, and knew him soonest. Peter was the most zealous, and reached Christ the first. How variously God dispenses his gifts, and what difference there may be between some believers and others in the way of their honouring Christ, yet they all may be accepted of him! Others continue in the ship, drag the net, and bring the fish to shore, and such persons ought not to be blamed as worldly; for they, in their places, are as truly serving Christ as the others. The Lord Jesus had provision ready for them. We need not be curious in inquiring whence this came; but we may be comforted at Christ's care for his disciples. Although there were so many, and such great fishes, yet they lost none, nor damaged their net. The net of the gospel has enclosed multitudes, yet it is as strong as ever to bring souls to God.

Verses 15-19 Our Lord addressed Peter by his original name, as if he had forfeited that of Peter through his denying him. He now answered, Thou knowest that I love thee; but without professing to love Jesus more than others. We must not be surprised to have our sincerity called into question, when we ourselves have done that which makes it doubtful. Every remembrance of past sins, even pardoned sins, renews the sorrow of a true penitent. Conscious of integrity, Peter solemnly appealed to Christ, as knowing all things, even the secrets of his heart. It is well when our falls and mistakes make us more humble and watchful. The sincerity of our love to God must be brought to the test; and it behoves us to inquire with earnest, preserving prayer to the heart-searching God, to examine and prove us, whether we are able to stand this test. No one can be qualified to feed the sheep and lambs of Christ, who does not love the good Shepherd more than any earthly advantage or object. It is the great concern of every good man, whatever death he dies, to glorify God in it; for what is our chief end but this, to die to the Lord, at the word of the Lord?

Verses 20-24 Sufferings, pains, and death, will appear formidable even to the experienced Christian; but in the hope to glorify God, to leave a sinful world, and to be present with his Lord, he becomes ready to obey the Redeemer's call, and to follow Him through death to glory. It is the will of Christ that his disciples should mind their own duty, and not be curious about future events, either as to themselves or others. Many things we are apt to be anxious about, which are nothing to us. Other people's affairs are nothing to us, to intermeddle in; we must quietly work, and mind our own business. Many curious questions are put about the counsels of God, and the state of the unseen world, as to which we may say, What is this to us? And if we attend to the duty of following Christ, we shall find neither heart nor time to meddle with that which does not belong to us. How little are any unwritten traditions to be relied upon! Let the Scripture be its own interpreter, and explain itself; as it is, in a great measure, its own evidence, and proves itself, for it is light. See the easy setting right such mistakes by the word of Christ. Scripture language is the safest channel for Scripture truth; the words which the Holy Ghost teaches, 1Co 2:13. Those who cannot agree in the same terms of art, and the application of them, may yet agree in the same Scripture terms, and to love one another.

Verse 25 Only a small part of the actions of Jesus had been written. But let us bless God for all that is in the Scriptures, and be thankful that there is so much in so small a space. Enough is recorded to direct our faith, and regulate our practice; more would have been unnecessary. Much of what is written is overlooked, much forgotten, and much made the matter of doubtful disputes. We may, however, look forward to the joy we shall receive in heaven, from a more complete knowledge of all Jesus did and said, as well as of the conduct of his providence and grace in his dealings with each of us. May this be our happiness. These are written that ye might believe that Jesus is the Christ, the Son of God; and that believing ye might have life through his name, ch. 20:31.

Unit Test
The test will be 10 free response questions similar to the ones in the study guide. It will be offered through the Wikiversity Moodle site from the beginning of this week to the end of this week. Once the course is approved, a link to the Moodle site will be placed here.

title: Gospel of John (CBS)/Week 9


text:
User:Poetlister

__NOINDEX__

title: User:Poetlister


text:
User:Stevenarntson/Student Hub/Winter2010

English Composition

 * Steven A. Stevenarntson
 * Renee A. R.Armstrong
 * John-Michael B. J.M. Baker
 * Kyelle B. Kyellebrodie
 * Colton C.ColtonC.Cooper
 * Jennifer D.
 * Jeremy D."JDixon06"
 * Matthew E.
 * Alexander G. AlexGreen
 * Llaura I. LlauraIspas
 * Alex L. AlexanderLaVielle
 * Michael L. Michaelleon
 * Caitlin L. Caitlynlittle
 * Andrew L.AndrewL
 * Danae M. Danaemerritt
 * Jessica O. Jessolson
 * Charlsee P.
 * Dolly P. Dollyp
 * Danny R.DannyR
 * Jordan S.Jordansalazar
 * Seth S.
 * Christopher S.Csharratt
 * Brittany S. BrittanySierra
 * Rachel S.RachelS
 * Phillip S.PhillipSullivan
 * Tan T. TanTran
 * Karsten W. Karstenwise

Analytical Writing

 * Steven A Stevenarntson
 * 3 Mariel A.MarielA
 * 3 Tana B. TanaB
 * 3 Kerstin B. KerstinB
 * 3 Karlee B.KarleeButler
 * 3 Samantha B.
 * 3 Tien C. TienChi
 * 3 Reagan C. ReaganC
 * 4 Deanna C. DeannaConnell
 * 4 Christopher D.Topher D
 * 4 Tasia D.TasiaD
 * 4 Danielle F. DaniFillmore
 * 4 LawrenceF. LawrenceF
 * 4 Katriana G. KattGoberTriesThisAgain
 * 4 Dmitriy G.Dmitriyg
 * 4 Michael H. Mikehanrahan
 * 4 Matthew H. MatthewH
 * 5 Jasmine J.JasmineJ
 * 5 Simon K. Simonkarls
 * 5 Chandler K.Chandlerkempton
 * 5 Tuan L. Tuanle
 * 5 Benjamin L.BenLewis
 * 5 Aldous L.AldousFLukito
 * 5 Leeza M.
 * 5 Dustin M."DustinM"
 * 5 Vivian N.Viviannguyen
 * Takamasa M. Takamasa
 * 6 Timmi N.
 * 6 Samantha M.SamanthaPearson
 * 6 Rocky O.
 * 6 Sabrina P.SabrinaPhillips
 * 6 Devonn R. DevonnRonning
 * 6 Scott S.ScottS
 * 6 Bradley S. BradS
 * 6 Lisa S.
 * 6 Frances S. FrancesSilva
 * 6 Brittany W.BrittanyW

Humanities (The Commons)

 * Steven A Stevenarntson
 * Kaitlin A.KaitlinA
 * Tessa B.Tessabudny
 * Olivia B. OliviaB
 * Alicia C. AliciaC
 * Jeremy C.JeremyCathey
 * Dave D. Davedoumis
 * Kadence E. KadenceEnglehardt
 * Erik F. User:Erik Franklin
 * Georgia G. Georgiagilbert
 * Dana G. Danagrob
 * Julie K Jkinsey
 * Holly P. Hollypetrie
 * Robert R. Robrichard
 * Kyle R. Kyle_Russell
 * Cassandra S. Cassandras
 * Merrisa S. Merrisa shepherd18
 * Fourera T.FoureraT
 * Jessica Y. Jessicay
 * Karlie W. KarlieWatson
 * Andrew R AndrewR
 * Brown S.SarahB


text:
User talk:Zsanders

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Zsanders


text:
User talk:John burbridge

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:John burbridge


text:
User talk:HarryCaldwell

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:HarryCaldwell


text:
User talk:Joshmaldonado

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Joshmaldonado


text:
User talk:Jasontraversie

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Jasontraversie


text:
User talk:SuzanneZimmer

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:SuzanneZimmer


text:
User talk:BillyChatterton

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:BillyChatterton


text:
User talk:JoannaKirkwood

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:JoannaKirkwood


text:
User talk:Nmostafa

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Nmostafa


text:
User talk:KMileson

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:KMileson


text:
User talk:CatiaRoss

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:CatiaRoss


text:
User talk:Athmpsn05

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Athmpsn05


text:
User talk:ShanikaTyler

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:ShanikaTyler


text:
User talk:Davisallisonr

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Davisallisonr


text:
User talk:Joshelchin

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Joshelchin


text:
User talk:RayGradisher

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:RayGradisher


text:
User talk:Nheinlein

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Nheinlein


text:
User talk:ReneaHisey

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:ReneaHisey


text:
User talk:Danieljames~enwikiversity

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

Your account will be renamed
Hello,

The developer team at Wikimedia is making some changes to how accounts work, as part of our on-going efforts to provide new and better tools for our users like cross-wiki notifications. These changes will mean you have the same account name everywhere. This will let us give you new features that will help you edit and discuss better, and allow more flexible user permissions for tools. One of the side-effects of this is that user accounts will now have to be unique across all 900 Wikimedia wikis. See the announcement for more information.

Unfortunately, your account clashes with another account also called Danieljames. To make sure that both of you can use all Wikimedia projects in future, we have reserved the name Danieljames~enwikiversity that only you will have. If you like it, you don't have to do anything. If you do not like it, you can pick out a different name.

Your account will still work as before, and you will be credited for all your edits made so far, but you will have to use the new account name when you log in.

Sorry for the inconvenience.

Yours, Keegan Peterzell Community Liaison, Wikimedia Foundation 23:33, 17 March 2015 (UTC)

Renamed
 This account has been renamed as part of single-user login finalisation. If you own this account you can |log in using your previous username and password for more information. If you do not like this account's new name, you can choose your own using this form after logging in: . -- Keegan (WMF) (talk) 06:05, 19 April 2015 (UTC)

title: User talk:Danieljames~enwikiversity


text:
User talk:Remijoffray

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Remijoffray


text:
User talk:Beta83

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Beta83


text:
User talk:Justinlegaspi

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Justinlegaspi


text:
User talk:Jillianmcanally

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Jillianmcanally


text:
User talk:Christophermobley

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Christophermobley


text:
User talk:Sarahnix

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Sarahnix


text:
User talk:Justingleeson

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Justingleeson


text:
User talk:RyanHawk

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:RyanHawk


text:
User talk:Blainehorton

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Blainehorton


text:
User talk:Davidkroeger

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Davidkroeger


text:
User talk:JoeLembcke

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:JoeLembcke


text:
User talk:MichealBailey

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:MichealBailey


text:
User talk:Tophercent

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Tophercent


text:
User talk:Gabbyvalenzuela

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Gabbyvalenzuela


text:
User talk:Tommy Wilson

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Tommy Wilson


text:
User talk:Brittanywright

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Brittanywright


text:
User talk:Andrewberhow

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Andrewberhow


text:
User talk:Collin Greenleaf

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Collin Greenleaf


text:
User talk:BiancaNavarro

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:BiancaNavarro


text:
User talk:Jacobvanpamel

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Jacobvanpamel


text:
User talk:SamanthaWatson

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:SamanthaWatson


text:
User talk:RaulAnaya

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:RaulAnaya


text:
User talk:LOANAARGUERO

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:LOANAARGUERO


text:
User talk:Rayfordbagley

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Rayfordbagley


text:
User talk:Tylerbarrett

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Tylerbarrett


text:
User talk:Kirkbradshaw

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Kirkbradshaw


text:
User talk:Toddcoltrane

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Toddcoltrane


text:
User talk:Kaylacosta

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Kaylacosta


text:
User talk:Megandecastro1

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Megandecastro1


text:
User talk:Nickelliott

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Nickelliott


text:
User talk:Tommygonzales

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Tommygonzales


text:
User talk:SamHoeng

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:SamHoeng


text:
User talk:Macguyvermanivanh

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Macguyvermanivanh


text:
User talk:Mazanygina

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Mazanygina


text:
User talk:Ryanohlemeier

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Ryanohlemeier


text:
User talk:Olson49

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Olson49


text:
User talk:Jenschenck

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Jenschenck


text:
User talk:Robertscribner

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Robertscribner


text:
User talk:Johnsmith

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Johnsmith


text:
User talk:AnthonyThomas

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:AnthonyThomas


text:
User talk:Christinacross

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Christinacross


text:
User talk:TonyChung

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:TonyChung


text:
User talk:Charitychurch

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Charitychurch


text:
User talk:Uriahd

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Uriahd


text:
User talk:Sieradegree

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Sieradegree


text:
User talk:Richardfoster

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Richardfoster


text:
User talk:Ahakins89

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Ahakins89


text:
User talk:Jwjens

Hello Former Student!

I'm writing to you because you took a class from me in the past few years at the Art Institute. As of Spring, 2010, I'll not be teaching further classes at AIS for the foreseeable future. (We're parting ways on good terms!) Until now, you've been able to reach my Wikiversity educational resources from my website, but I've decided to delete that link. You can still reach all of those materials here.

If you're interested in what I'm up to in the future (which will include an album in 2010 and a novel in 2011) you can friend my facebook page or drop me an email at info@stevenarntson.info and you'll receive a periodic update about performances, classes, and publications.

If you know any current or former students of mine who might be interested in any of this, please forward this information if you have a moment.

I hope all is well for you.
 * Best! Stevenarntson

title: User talk:Jwjens