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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
MATHEMATICAL STATISTICS END532 - 3 + 0 10

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITMaster's Degree With Thesis
YEAR OF STUDY-
SEMESTER-
NUMBER OF ECTS CREDITS ALLOCATED10
NAME OF LECTURER(S)Professor Kumru Didem Atalay
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) Gain an ability of the skill to understand the basic methodology of statistics
2) Understand the derivation of the basic properties of the probability distributions depending upon the knowledge and skills given by the prerequisite mathematics and introductory statistics courses.
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITION
COURSE CONTENTS
WEEKTOPICS
1st Week Fundamentals of Probability,
2nd Week Definition of Probability, Conditional Probability, Bayes' Theorem and Independent Events,
3rd Week Random Variable and Probability Distribution Functions I,
4th Week Random Variable and Probability Distribution Functions I and Mathematical Expectation,
5th Week Discrete Probability Distributions,
6th Week Continuous Probability Distributions I,
7th Week Random Sampling and Important Statistics,
8th Week Midterm
9th Week Sampling Distribution, Sampling Distributions for Sample Means and Variances,
10th Week Chi squared, T and F Distributions,
11th Week One- and Two-Sample Estimation Problems (for a Mean and Mean Differences),
12th Week One- and Two-Sample Estimation Problems (for a Variance and the Ratio of Variances),
13th Week Hypothesis Testing, Usage of P-Value, One- and Two- Sample Hypothesis Testing (for a Mean and Mean Differences), (for a Variance and the Ratio of Variances),
14th Week Regression Analysis and Correlation
RECOMENDED OR REQUIRED READING(1) Walpole R.E., Myers R.H. Myers Sh. L. Ye K. Probability and Statistics or Engineers and Scientists Prentice Hall. 7th edition.

(2) Akdeniz F. "Olasılık ve İstatistik", Nobel Kitabevi, 13. Baskı, 2007.

(3) Erbaş S. O. "Olasılık ve İstatistik", Gazi Kitabevi.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSCase Study,Lecture,Questions/Answers,Problem Solving,Discussion
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term130
Project130
Total(%)60
Contribution of In-term Studies to Overall Grade(%)60
Contribution of Final Examination to Overall Grade(%)40
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam122
Preparation for Quiz
Individual or group work1414196
Preparation for Final exam12525
Course hours14342
Preparation for Midterm exam12525
Laboratory (including preparation)
Final exam122
Homework11414
Total Workload306
Total Workload / 3010,2
ECTS Credits of the Course10
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
LO1LO2
K1  X  
K2  X   X
K3  X  
K4  X   X
K5    X
K6   
K7   
K8   
K9   
K10  X  
K11