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Week |
Subject |
Related Preparation |
1) |
Introduction to analyzing data on Excel,simple simulation model, conditional expectation, probability trees and Baye's rule, advanced spreadsheet techniques. |
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2) |
Discrete random variables, simulating discrete random variables, expected value and standard deviation, estimates from sample data, decision criteria. |
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3) |
Utility theory with constant risk tolerance, risk aversion, utility analysis from simulation data, certainty equivalence and risk premium. |
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4) |
Continuous random variables, Normal distribution, logarithmic and exponential distributions, certainty equivalents of Normal lotteries, other distribution functions. |
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5) |
Correlation and multivariate random variables. |
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6) |
Portfolio analysis with multivariate normal asset returns, Excel solver and efficient portfolio design. |
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7) |
Conditional expectation, Linear Regression models. |
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8) |
Optimization of decision variables, general techniques for using simulation in decision analysis, decision trees, analyzing competitive behavior. |
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9) |
Risk sharing in finance, optimal risk sharing, risk sharing under moral hazard. |
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10) |
Corporate Decision making and asset pricing in the stock market,fundemental ideas of arbitrage pricing theory. |
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11) |
Dynamic models of growth; forecasting models with time series, brownian motion growth models, log-optimal investment strategies. Applications. |
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12) |
Introduction to generalized linear models, link functions, estimation, testing. |
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13) |
Generalized linear models continued. |
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14) |
Review and other applications. |
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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 be able to link abstract thought that one has to concrete events and to transfer the solutions and examine and interpret the results scientifically by forming experiments and collecting data. |
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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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