Week |
Subject |
Related Preparation |
1) |
Statistical data analysis. Collection and graphical portrayal of data. Histograms, quantile plots, box plots.Measures of central tendency, mean, variance and skewness. |
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2) |
Review of probability. Definition and properties of random variables, expected value, variance and higher moments. |
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3) |
Discrete and continuous probability distributions.Binomial, Poisson, exponential, gamma,Normal and Chi-square distributions. |
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4) |
The Normal distribution. Finding areas under the Normal curve, applications and approximations to the Normal. Moments and moment generating and probability generating functions. |
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5) |
Sampling distributions. Merkez limit teoremi. |
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6) |
Statistical estimation. Properties of point estimators, moment matching and maximum likelihood estimators. Fitting statistical data to theoretical distributions. |
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7) |
Confidence intervals, estimation of difference between two means, proportion, variance and ratio of two variances. |
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8) |
Tests of Hypotheses. Small and Large sample tests. |
|
9) |
Tests of hypotheses continued. Types of errors, power of tests. |
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10) |
Linear models and estimation by least squares. Simple linear regression. |
|
11) |
Simple linear regression continued. Application examples. |
|
12) |
Introduction to multiple linear regression. |
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13) |
Multiple linear regression continued. |
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14) |
Solution of an extended real life problem. |
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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 |
2) |
Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization.
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3 |
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. |
3 |
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. |
2 |
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. |
3 |
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. |
|
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. |
2 |
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. |
2 |
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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