Information Package

Master's of Industrial Engineering with Thesis

END532

MATHEMATICAL STATISTICS

Course Code
END532
Semester
-
Theory+Practice
3 + 0
ECTS
10
Course TypeElective Course
Course LevelMaster's Degree With Thesis
Year of Study-
Semester-
ECTS10
Name of Lecturer(s)
Learning Outcomes

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
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course Description
Course Contents
WEEK TOPICS
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
Recommended 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 Methods
  • Case Study
  • Lecture
  • Questions/Answers
  • Problem Solving
  • Discussion
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 30
Project 1 30
Total(%) 60
Contribution of In-term Studies to Overall Grade(%) 60
Contribution of Final Examination to Overall Grade(%) 40
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz
Individual or group work 14 14 196
Preparation for Final exam 1 25 25
Course hours 14 3 42
Preparation for Midterm exam 1 25 25
Laboratory (including preparation)
Final exam 1 2 2
Homework 1 14 14
Total Work Load306
Total Work Load / 30 (h)10.2
ECTS Credit of the Course10
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2
K1 X
K2 X X
K3 X
K4 X X
K5 X
K6
K7
K8
K9
K10 X
K11