Syllabus
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Course Code: B-MAT 605 Course Name: Practical -VI |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | a) Linear Programming Problem Solving- Questions related to the following problems will
be solved using scientific calculator and record of those will be maintained in the Practical
Notebook: 1) To solve a Linear Programming Problem by Simplex method with unique solution or with unbounded solution. 2) To solve a Linear Programming Problem by Two Phase method. 3) To solve a Linear Programming Problem by Big M- Method. 4) To solve a Linear Programming Problem using duality. 5) To obtain an optimal solution by Dual Simplex Method. 6) To determine optimal solution of a transportation problem using Vogel’s method. 7) Determine optimal solution of transportation problem using (u v) method. 8) Determine an initial basic feasible solution of transportation problem by matrix method. |
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| 2 | a) Problem Solving of Statistics and Probability- Questions related to the following
problems will be solved using scientific calculator and record of those will be
maintained in the Practical Notebook: 1) Practical problems based on measures of dispersion (variance, standard deviation and coefficient of variation). 2) To compute Karl Pearson’s coefficient of correlation for given bivariate frequency distribution. 3) To obtain the regression lines for given data. 4) Practical problems based on Binomial distribution. 5) Practical problems based on Poisson distribution. 6) Practical problems based on Normal distribution. 7) To fit a straight line for the given data on pairs of observations. 8) Practical problem solving related to expectation of random variables |
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| 3 | b) LATEX Practicals- Following practicals of typing documents using LATEX software
will be done and records of those will be maintained in the practical notebook and the
candidates will be asked by the examiner to type a document using more than one of
these listed commands at the time of Semester end practical examination: 1. Create a document with mixed math and text note. Type some mathematical expressions related to limit, continuity, derivative and differential equations using suitable environment for mathematics formulas and also \begin{eqnarray} ...\end{eqnarray} and \begin{equation} ... \end {equation} environment. 2. Create a document to typeset arithmetic operations, subscripts, superscripts, accents, operators, binomial coefficients, congruences, delimiters and integrals. 3. Create a document to produce tables using commands: \begin{tabular}{…} l for a column of left-aligned text , r for a column of right-aligned text, c for a column of centre-aligned text, | for a vertical line and following \begin command, table data is written by using following symbols; & is placed between columns, \\ is placed at the end of a row (to start a new one), \hline inserts a horizontal line. \cline{1-2} inserts a partial horizontal line between column 1 and column 2, the command \end{tabular} finishes the table. 4. Create a document including figures by using following commands: \usepackage{graphicx} (graphic package is used for figures) \begin{figure}[h!] \centering \includegraphics[width=1\textwidth]{ImageFilename} \caption{My test image} \label{…} \end{figure} 5. Create a document using matrix using the following commands: \usepackage {amsmath} \begin{matrix} … \end{matrix} \begin{pmatrix} … \end{pmatrix} \begin{bmatrix} … \end{bmatrix} \begin{vmatrix} … \end{vmatrix} 6. Create a document illustrating use of \begin{abstract} ...\end{abstract}, \begin{theorem} ... \end{theorem}, and \begin{definition} ... \end{definition} formats. 7. Create a document illustrating references, citations, footnotes and hyperlinks. 8. Create a document to generate bibliography. |
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