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Week
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Topics
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Study Metarials
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1
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Introduction to clusters, set operations, classes and elements.
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R1, Section 1
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2
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Experiment with random outcome, sample point, sample spaces and events.
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R1, Section 2
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3
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Permutation
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R1, Section 3
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4
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Combination, Binom`s theorem
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R1, Section 4
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5
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Probability measure, probability space and some examples of probability spaces
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R1, Section 5
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6
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Discrete and continuous sample spaces and geometric probability
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R1, Section 6
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7
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Conditional probability, total probability formula, Bayes rule and independence of events.
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R1, Section 7
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8
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The concept of random variable
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R1, Section 8
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9
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Distribution of discrete random variable
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R1, Section 9
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10
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Distribution of continuous random variable
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R1, Section 10
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11
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Expected value, variance and application of random variable
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R1, Section 11
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12
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Two dimensional random variables and probability functions
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R1, Section 12
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13
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Conditional probability function, marginal functions,
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R1, Section 13
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14
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Conditional expected value and conditional variance, Distribution function
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R1, Section 14
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Prerequisites
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-
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Language of Instruction
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Turkish
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Responsible
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Assoc. Prof. Efehan Ulas
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Instructors
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-
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Assistants
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-
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Resources
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R1. Ders Notu
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Supplementary Book
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SR1. Freund, J. E., Miller, I., & Miller, M. (2007). Matematiksel İstatistik,(çev. Ümit Şenesen), 6. Baskı, Literatür Yayıncılık, İstanbul.
SR2. Akdeniz, F. (2006). Olasılık ve İstatistik, Nobel Kitabevi, 18. Baskı, Adana.
SR3. Sağlam, V. (2017). Olasılığa Giriş, Seçkin yayınevi.
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Goals
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Learns the fundamental concepts of affine and projective geometries and understand the related transformations.
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Content
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Random variable, sample space, selection rules, sampling, binomial theorem, expected value, variance.
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Program Learning Outcomes |
Level of Contribution |
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1
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To have informations about conceptional, theoretical and applied statistics and and associates the concepts with each other.
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2
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2
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To collect, save and arrange the statistical data, builds the proper tables and graphics to summarize data
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3
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3
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To analyse the data, to able to determine suitable statistical method, to make more efficient inferences and forecasts for the future
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2
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4
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To design and analyse an experiment and interpreting the results
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2
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5
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To have the knowlegde about Mathematics and Economics
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-
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6
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To define statistics problems and develop suggestions by using statistical survey.
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-
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7
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To use the profiency knowlegde on interdiscipliner studies
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-
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8
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To have the ability of planing, managing and reporting of a project
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-
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9
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To use computer softwares and programmes for statistics methods.
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-
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10
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To have the ability of analythical thinking
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-
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11
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To have the individual study skills and be capable of independent decision-making
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-
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12
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To have the qualifications required for team work
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-
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13
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To follow developments in statistics field by using a foreign language and can be connected with their colleagues.
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-
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14
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To have scientific and ethnical values in data collection and interpretation in statistics dicipline.
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-
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