Week |
Subject |
Related Preparation |
1) |
The Optimization Problem. Examples. |
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2) |
Mathematical preliminaries |
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3) |
Mathematical preliminaries |
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4) |
The Weierstrass Theorem. Application to example problems. |
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5) |
Optimization over an open set. Necessary and sufficient conditions. |
|
6) |
Numerical techniques: Gradient algorithm, Newton's method. |
|
8) |
Optimization with equality constraints. Lagrange multipliers. |
|
9) |
Optimization with inequality constraints. Kuhn-Tucker conditions. |
|
10) |
Linear programming: Standard maximization and minimization problems. |
|
11) |
Linear programming: Primal and dual problems. Duality theorem. Optimality conditions. |
|
12) |
The Simplex algorithm. |
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13) |
Discrete dynamic programming. |
|
14) |
Large optimization problems. Decomposition methods. |
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Program Outcomes |
Level of Contribution |
1) |
Ability to assimilate mathematic related concepts and associate these concepts with each other. |
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2) |
Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization. |
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3) |
Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. |
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4) |
Ability to make individual and team work on issues related to working and social life. |
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5) |
Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball. |
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6) |
Ability to use mathematical knowledge in technology. |
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7) |
To apply mathematical principles to real world problems. |
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8) |
Ability to use the approaches and knowledge of other disciplines in Mathematics. |
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9) |
Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary. |
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10) |
To apply mathematical principles to real world problems. |
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11) |
To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. |
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12) |
To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself. |
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