Week |
Subject |
Related Preparation |
1) |
Sets, Combinatoric Methods, Binomial Coefficients |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
2) |
Sample Space, Event, Probability of an Event, Some Probability Rules |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
3) |
Conditional Probability, Independent Events, Bayes Theorem |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
4) |
Random Variables, Discrete Probability Distribution |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
5) |
Continuous Random Variables |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
6) |
Common Distributions |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
7) |
Marginal and Conditional Distributions |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
8) |
Mathematical Expectation of a Random Variable, Moments |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
9) |
Chebyshev's Theorem, Moment Generating Functions |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
10) |
Product Moments, Conditional Expectation |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
11) |
Discrete Uniform Distribution, Bernolli Distribution, Binomial Distribution |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
12) |
Negative Binomial and Geometric Distributions, Hypergeometric Distribution |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
13) |
Poisson Distribution, Uniform Distribution |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
14) |
Normal Distribution, Normal Approach to Binomial Distribution, Normal Approach to Poisson Distribution |
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
15) |
Finals Week |
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16) |
Finals Week |
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17) |
Finals Week |
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Course Notes / Textbooks: |
Murray R. Spiegel, John J. Schiller, and R. Alu Srinivasan, Probability and Statistics, Schaum's Outline Series, Third Edition, New York, ISBN: 978-0-07-154426-9, 2009.
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
References: |
Murray R. Spiegel, John J. Schiller, and R. Alu Srinivasan, Probability and Statistics, Schaum's Outline Series, Third Edition, New York, ISBN: 978-0-07-154426-9, 2009.
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004. |
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Program Outcomes |
Level of Contribution |
1) |
Adequate knowledge in mathematics, science, and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. |
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2) |
An ability to detect, identify, formulate, and solve complex engineering problems; the ability to select and apply appropriate analysis and modelling methods for this purpose. |
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3) |
An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. |
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4) |
An ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems in engineering applications. |
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5) |
An ability to use information technologies effectively. |
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6) |
Ability to design, conduct experiments, collect data, analyse, and interpret results to investigate complex engineering problems or discipline-specific research topics. |
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7) |
Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. |
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8) |
Ability to communicate effectively in oral and written Turkish. |
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9) |
Knowledge of at least one foreign language. |
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10) |
Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instructions. |
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11) |
Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology and ability to renew themselves. |
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