FACULTY OF ARTS AND SCIENCES

Department of Mathematics

MATH 212 | Course Introduction and Application Information

Course Name
Introduction to Probability and Statistics II
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 212
Fall/Spring
3
0
3
5

Prerequisites
  MATH 211 To attend the classes (To enrol for the course and get a grade other than NA or W)
Course Language
English
Course Type
Service Course
Course Level
First Cycle
Mode of Delivery Online
Teaching Methods and Techniques of the Course -
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives The aim of this course is to learn the basic concepts of probability and statistics to make applications in various fields such as business and economics. This course includes basic statistical methods in which data is available and in all areas requiring data analysis. Especially for students who want to specialize in areas where data analysis and results need to be interpreted, basic statistical methods and applications are presented.
Learning Outcomes The students who succeeded in this course;
  • will be able to compute confidence intervals for the mean of one and two populations that are normally distributed when the population variance is known and population variance is unknown.
  • will be able to compute hypotesis tests for the mean of a population or between two populations that are normally distributed when the population variance is known and population variance is unknown.
  • will be able to identify the dependent and the independent variables of the given data.
  • will be able to test whether the given variables are related depending on the number of independent variables.
  • will be able to apply simple or multiple linear regression analysis.
Course Description Sampling distributions; Confidence interval estimation; One and two populations; Hypothesis tests of one and two populations; Simple and multiple regression analysis

 



Course Category

Core Courses
X
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Introduction to Statistics and Data Analysis and Business Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 1, pages 21-37
2 Introduction to Statistics and Data Analysis and Business Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 1, pages 37-50
3 Fundamental Sampling Distributions and Data Descriptions Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 8, pages 245-261
4 Fundamental Sampling Distributions and Data Descriptions Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 8, pages 263-282
5 One- and Two-Sample Estimation Problems Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 9, pages 285-302
6 One- and Two-Sample Estimation Problems Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 9, pages 305-320
7 One- and Two-Sample Estimation Problems Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 9, pages 320-327
8 One- and Two-Sample Tests of Hypotheses Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 10, pages 339-362
9 One- and Two-Sample Tests of Hypotheses Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 10, pages 362-385
10 Midterm
11 One- and Two-Sample Tests of Hypotheses Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 10, pages 386-393
12 One- and Two-Sample Tests of Hypotheses Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 10, pages 393-396
13 Two-Sample Excel CaseStudy Walpole R.E., Myers R. H., Myers S. L, Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365 Chapter 10, pages 399
14 Semester Review
15 Semester Review
16 Final Exam

 

Course Notes/Textbooks

Walpole R.E., Myers R. H., Myers S. L,Ye K., Probability&Statistics for Engineers and Scientists, 9th Edition. ISBN13: 9781292161365

Suggested Readings/Materials

Ross S., A First Course in Probability, Pearson Education.
"Statistics for Engineers and Scientists" by William Navidi, McGraw-Hill Education, 4th Edition, 2014.

ISBN-13: 978-0073401331

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
10
Laboratory / Application
Field Work
Quizzes / Studio Critiques
-
-
Portfolio
Homework / Assignments
1
20
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
3
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical Course Hours
(Including exam week: 16 x total hours)
16
3
48
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
0
Study Hours Out of Class
14
3
42
Field Work
0
Quizzes / Studio Critiques
-
-
0
Portfolio
0
Homework / Assignments
1
20
20
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
15
15
Final Exam
1
25
25
    Total
150

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics.

X
2

To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics.

X
3

To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials.

X
4

To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning.

5

To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals.

6

To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project.

X
7

To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge.

8

To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field.

9

To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security.

10

To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking.

11

To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language.

12

To be able to speak a second foreign language at a medium level of fluency efficiently.

13

To be able to relate the knowledge accumulated throughout the human history to their field of expertise.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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