FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 280 | Course Introduction and Application Information
| Course Name |
Introduction to Probability and Statistics
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 280
|
Fall/Spring
|
2
|
2
|
3
|
6
|
| Prerequisites |
|
|||||||
| Course Language |
English
|
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| Course Type |
Service Course
|
|||||||
| Course Level |
First Cycle
|
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| Mode of Delivery | face to face | |||||||
| Teaching Methods and Techniques of the Course | Lecture / Presentation | |||||||
| Course Coordinator | ||||||||
| Course Lecturer(s) | ||||||||
| Assistant(s) | ||||||||
| Course Objectives | To provide the fundamental concepts of Probability and Statistics with applications of business and economic problems. Fundamental statistical methods and applications are presented especially for students who want to specialize in areas where data analysis and results need to be interpreted. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | This course investigate probability, discrete and continuous probability distributions. Also, provides constructing the sampling distributions, confidence interval estimation and Hypothesis tests of one and two populations. |
|
|
Core Courses | |
| Major Area Courses | ||
| Supportive Courses |
X
|
|
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | Describing data: graphical | Newbold P., Carlson W.L., Thorne B., “Describing data: graphical”, chap 1 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 25-62. |
| 2 | Describing data: numerical | Newbold P., Carlson W.L., Thorne B., “Describing data: numerical”, chap 2 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 63-96. |
| 3 | Probability | Newbold P., Carlson W.L., Thorne B., “Probability”, chap 3 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 97-149. |
| 4 | Probability | Newbold P., Carlson W.L., Thorne B., “Probability”, chap 3 in Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 97-149. |
| 5 | Probability | Newbold P., Carlson W.L., Thorne B., “Probability”, chap 3 in Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 97-149. |
| 6 | Discrete Random Variable, Bernoulli and Binomial Probability Distributions, Jointly Distributed Discrete Random Variables | Newbold P., Carlson W.L., Thorne B., “Discrete random variables and Probability Distributions”, chap 4 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 150-200. |
| 7 | Continuous Random Variable, Normal Distribution, Jointly Distributed Continuous Random Variables | Newbold P., Carlson W.L., Thorne B., “Continuous random variables and Probability Distributions”, chap 5 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 201-247. |
| 8 | Sampling, Sampling Distribution of Sample Mean and Sampling Distribution of Sample Proportion | Newbold P., Carlson W.L., Thorne B., “Sampling and sampling distributions”, chap 6 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 248-287. |
| 9 | Midterm | |
| 10 | Estimation: Confidence Interval for Single Population Mean, Confidence Interval for Single Population Proportion and Determining Sample Size | Newbold P., Carlson W.L., Thorne B., “Estimation: single population”, chap 7 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 288-331. |
| 11 | Estimation: Confidence Interval for Two Population Means, Confidence Interval for Two Population Proportions | Newbold P., Carlson W.L., Thorne B., “Estimation: additional topics”, chap 8 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 332-349. |
| 12 | Hypothesis Testing: Single Population Mean and Single Population Proportion | Newbold P., Carlson W.L., Thorne B., “Hypothesis testing: single polulation”, chap 9 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 350-388. |
| 13 | Hypothesis Testing: Two Population Means and Two Population Proportions | Newbold P., Carlson W.L., Thorne B., “Hypothesis testing: additional topics”, chap 10 Statistics for Business and Economics, 10th edition (United States of America: Pearson, 2022), 389-420. |
| 14 | Semester Review | |
| 15 | Semester Review | |
| 16 | Final exam |
| Course Notes/Textbooks | Newbold P., Carlson W.L., Thorne B., Statistics for Business and Economics, 10th edition (Pearson, 2022), ISBN-13:978-1292436845 |
| Suggested Readings/Materials | Lind D., Marchal S., Statistical Techniques in Business & Economics, 17th edition (McGraw-Hill, 2017), ISBN-13: 978-1259666360 |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques |
2
|
20
|
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
30
|
| Final Exam |
1
|
50
|
| Total |
| Weighting of Semester Activities on the Final Grade |
3
|
50
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
50
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
2
|
32
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
| Study Hours Out of Class |
14
|
2
|
28
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
2
|
10
|
20
|
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
28
|
28
|
| Final Exam |
1
|
40
|
40
|
| Total |
180
|
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. |
X | ||||
| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
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| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
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| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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