Solutions_updated

13 files changed, 48 insertions, 3 deletions

diff --git a/Tutorial01-Basics/Problems/Tut01.pdf b/Tutorial01-Basics/Problems/Tut01.pdf
index 75ef339..bc5bebd 100644
--- a/Tutorial01-Basics/Problems/Tut01.pdf
+++ b/Tutorial01-Basics/Problems/Tut01.pdf
diff --git a/Tutorial01-Basics/Problems/Tut01.tex b/Tutorial01-Basics/Problems/Tut01.tex
index 034528f..625105a 100644
--- a/Tutorial01-Basics/Problems/Tut01.tex
+++ b/Tutorial01-Basics/Problems/Tut01.tex
@@ -12,8 +12,8 @@
 \item Write a Scilab script to compute the following:
 \begin{enumerate}
 \item $n_1 = \sqrt{(Ax - y)^T(Ax - y)}$
-\item $n_2 = $ Sum of elements of $(Ax-b)$ (Hint: Use sum command)
-\item $n_3 = $ Sum of square of the elements of $(Ax - b)$ (Hint: Use for loop)
+\item $n_2 = $ Sum of elements of $(Ax-y)$ (Hint: Use sum command)
+\item $n_3 = $ Sum of square of the elements of $(Ax - y)$ (Hint: Use for loop)
 \end{enumerate}
 where $A = \begin{bmatrix}a & a^2 & a^3\\b & b^2 & b^3\\c & c^2 & c^3\end{bmatrix}$, 
 $a = 1, b = 2, c = 3$, $x = \begin{bmatrix}1\\1\\1\end{bmatrix}$, 
@@ -21,4 +21,5 @@ $y = \begin{bmatrix}4\\12\\36\end{bmatrix}$.
 \item Write a Scilab script to save the solution of Problem $1$, i.e., 
 $\begin{bmatrix}n_1 & n_2 & n_3\end{bmatrix}$ as \verb'Problem2.csv' file.
 \end{enumerate}
+{\bf Solution:} $n_1 = 3.7416574$, $n_2 = 4$, and $n_3 = 14$.
 \end{document}
diff --git a/Tutorial02-Plots/Problems/SolPrblm2.pdf b/Tutorial02-Plots/Problems/SolPrblm2.pdf
new file mode 100644
index 0000000..489f4d0
--- /dev/null
+++ b/Tutorial02-Plots/Problems/SolPrblm2.pdf
diff --git a/Tutorial02-Plots/Problems/Tut02.pdf b/Tutorial02-Plots/Problems/Tut02.pdf
index 36a41d5..024df45 100644
--- a/Tutorial02-Plots/Problems/Tut02.pdf
+++ b/Tutorial02-Plots/Problems/Tut02.pdf
diff --git a/Tutorial02-Plots/Problems/Tut02.tex b/Tutorial02-Plots/Problems/Tut02.tex
index 88e010d..9149981 100644
--- a/Tutorial02-Plots/Problems/Tut02.tex
+++ b/Tutorial02-Plots/Problems/Tut02.tex
@@ -3,6 +3,8 @@
 \usepackage{amsmath}
 \usepackage{amsfonts}
 \usepackage{amssymb}
+\usepackage{pdfpages}
+\usepackage{graphicx}
 \usepackage[varg]{txfonts}
 \begin{document}
 \title{Problems for Tutorial-02: Scientific Plotting}
@@ -15,4 +17,9 @@ The first column is the x-axes data. Use proper legends and labels.
 \item Save a print quality pdf file of the figure generated. Name the 
 file \verb'Tut2fig1.pdf'.
 \end{enumerate}
+{\bf Solution:} This is a semilog plot.
+\begin{figure}[ht!]
+\centering{
+\includegraphics[scale=0.31]{SolPrblm2.pdf}}
+\end{figure}
 \end{document}
diff --git a/Tutorial03-Curve_fitting/Problems/SolPrblm03.pdf b/Tutorial03-Curve_fitting/Problems/SolPrblm03.pdf
new file mode 100644
index 0000000..7b57b54
--- /dev/null
+++ b/Tutorial03-Curve_fitting/Problems/SolPrblm03.pdf
diff --git a/Tutorial03-Curve_fitting/Problems/Tut03.pdf b/Tutorial03-Curve_fitting/Problems/Tut03.pdf
index a324c84..0c55cf1 100644
--- a/Tutorial03-Curve_fitting/Problems/Tut03.pdf
+++ b/Tutorial03-Curve_fitting/Problems/Tut03.pdf
diff --git a/Tutorial03-Curve_fitting/Problems/Tut03.tex b/Tutorial03-Curve_fitting/Problems/Tut03.tex
index 5d397e9..c3b17a9 100644
--- a/Tutorial03-Curve_fitting/Problems/Tut03.tex
+++ b/Tutorial03-Curve_fitting/Problems/Tut03.tex
@@ -3,6 +3,17 @@
 \usepackage{amsmath}
 \usepackage{amsfonts}
 \usepackage{amssymb}
+\usepackage{graphicx}
+\usepackage{geometry}
+\geometry{
+a4paper,
+total={210mm,297mm},
+left=20mm,
+right=20mm,
+top=20mm,
+bottom=20mm,
+hoffset=-10pt
+}
 \usepackage[varg]{txfonts}
 \begin{document}
 \title{Problems for Tutorial-03: Curve Fitting}
@@ -18,4 +29,9 @@ in \verb'Tut3Problem.csv' is $t$ and the second column is the measured data. (Us
 squares fitting).
 \item Plot the measured data and fitted data versus $t$.
 \end{enumerate}
+{\bf Solution:}
+\begin{figure}[ht!]
+\raggedleft{
+\includegraphics[scale=0.4]{SolPrblm03.pdf}}
+\end{figure}
 \end{document}
diff --git a/Tutorial04-ODE/Problems/SolPrblm04.pdf b/Tutorial04-ODE/Problems/SolPrblm04.pdf
new file mode 100644
index 0000000..46e0cb6
--- /dev/null
+++ b/Tutorial04-ODE/Problems/SolPrblm04.pdf
diff --git a/Tutorial04-ODE/Problems/Tut04.pdf b/Tutorial04-ODE/Problems/Tut04.pdf
index e4df0b8..31f62be 100644
--- a/Tutorial04-ODE/Problems/Tut04.pdf
+++ b/Tutorial04-ODE/Problems/Tut04.pdf
diff --git a/Tutorial04-ODE/Problems/Tut04.tex b/Tutorial04-ODE/Problems/Tut04.tex
index 4b7b853..cde8f7a 100644
--- a/Tutorial04-ODE/Problems/Tut04.tex
+++ b/Tutorial04-ODE/Problems/Tut04.tex
@@ -3,7 +3,18 @@
 \usepackage{amsmath}
 \usepackage{amsfonts}
 \usepackage{amssymb}
+\usepackage{graphicx}
 \usepackage[varg]{txfonts}
+\usepackage{geometry}
+\geometry{
+a4paper,
+total={210mm,297mm},
+left=20mm,
+right=20mm,
+top=20mm,
+bottom=20mm,
+hoffset=-10pt
+}
 \begin{document}
 \title{Problems for Tutorial-04: \\Ordinary Differential equations}
 \date{}
@@ -17,4 +28,9 @@
 Consider the initial condition be $(0.1,0.2)$ at $t = 0$. 
 \item Plot the solution of the above differential $(x_1,x_2)$ for $t \in [0.2,10]$.
 \end{enumerate}
+{\bf Solution:}
+\begin{figure}[ht!]
+\raggedleft{
+\includegraphics[scale=0.4]{SolPrblm04.pdf}}
+\end{figure}
 \end{document}
diff --git a/Tutorial05-Solution_of_equations/Problems/Tut05.pdf b/Tutorial05-Solution_of_equations/Problems/Tut05.pdf
index e06bfa5..7fe00e8 100644
--- a/Tutorial05-Solution_of_equations/Problems/Tut05.pdf
+++ b/Tutorial05-Solution_of_equations/Problems/Tut05.pdf
diff --git a/Tutorial05-Solution_of_equations/Problems/Tut05.tex b/Tutorial05-Solution_of_equations/Problems/Tut05.tex
index 123eacd..9ab55f9 100644
--- a/Tutorial05-Solution_of_equations/Problems/Tut05.tex
+++ b/Tutorial05-Solution_of_equations/Problems/Tut05.tex
@@ -11,6 +11,11 @@
 \begin{enumerate}
 \item Write a Scilab script to find the intersection of the circle 
 $x^2 + y^2 - 25 = 0$ and the plane $x + 2y = 5$.
-\item Find the solution of the equation $t \, \mathrm{e}^{-x \,t} + \cos(t) \, \sin(t) + x = 0$ and $x+z-1 = 0$.
+\item Find the solution of the equation $t \, \mathrm{e}^{-x \,t} + \cos(t) \, \sin(t) + x = 0$ and $x+t-1 = 0$.
+\end{enumerate}
+{\bf Solution:}
+\begin{enumerate}
+\item $x = 5$, $y = 0$.
+\item $x = 1.5054495 , t = -0.5054495$
 \end{enumerate}
 \end{document}