University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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1- Course data :- |
| Code: | 11402 | Course title: | برمجة - تحليل عددى | Year/Level: | رابعة رياضيات | Program Title: | | Specialization: | | Teaching Hours: | Theoretical: | 4 | Tutorial: | 2 | Practical: | |
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2- Course aims :- |
| - At the end of this course the successful student will understand the mathematics of linear programming, the importance of linear programming applications, and will be able to formulate and solve and analyze small linear programmes by hand and with computer software.
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3- Course Learning Outcomes :- |
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4- Course contents :- |
| No | Topics | Week |
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1 | Introduction | | 2 | Convex analysis | | 3 | Minimization of a convex function | | 4 | Formulation of linear programming models Graphical solution | | 5 | The Simplex Algorithm, Two-Phase Simplex | | 6 | Duality in linear programming problems and Dual Simplex | | 7 | Simplex method in Matrix notations | | 8 | Linear programming applications | |
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5- Teaching and learning methods :- |
| S | Method |
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| Lectures | | Tutorials |
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6- Teaching and learning methods of disables :- |
| No data found. |
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7- Student assessment :- |
| A. Timing |
| No | Method | Week |
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1 | Mid term exam | 14 | 2 | sheet exam and Oral exam | 15 | 3 | final exam | |
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| B. Degree |
| No | Method | Degree |
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1 | Mid_term examination | 0 | 2 | Final_term examination | 90 | 3 | Oral examination | 10 | 4 | Practical examination | 0 | 5 | Semester work | 0 | 6 | Other types of asessment | 0 | Total | 100% |
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8- List of books and references |
| S | Item | Type |
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1 | Course Notes : | | 2 | Essential Books (Text book): Linear Programming: Foundations and Extensions, by Robert Vanderbei, Kluwer, 1997 (strongly recommended). | | 3 | Recommended Book: 1- J.P. Ignizio and T.M. Cavalier, “Linear Programming”, Prentice-Hall, 1994. 2.2-Theory of Linear and Integer Programming, by Alexander Schrijver, Wiley, 1986 | | 4 | Periodicals, Web Sites, ....etc: http://www.princeton.edu/~rvdb/LPbook/index.html | |
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9- Matrix of knowledge and skills of the course |
| S | Content | Study week |
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| Introduction | | | Convex analysis | | | Minimization of a convex function | | | Formulation of linear programming models Graphical solution | | | The Simplex Algorithm, Two-Phase Simplex | | | Duality in linear programming problems and Dual Simplex | | | Simplex method in Matrix notations | | | Linear programming applications | |
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Course Coordinator(s): - |
| - Elsaid Mohamed Elsaid Ahmed
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Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |