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Probability and Statistics
| Course Code | Semester |
Course Name |
LE/RC/LA |
Course Type |
Language of Instruction |
ECTS |
| MB0017 |
4 |
Probability and Statistics |
2/2/0 |
CC |
Turkish |
6 |
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| Course Goals |
To apply statistical tests and methods to given datas with the knowledge of probability notion. |
| Prerequisite(s) |
No |
| Corequisite(s) |
No |
| Special Requisite(s) |
Linear algebra, mathematics
|
| Instructor(s) |
Assist. Prof. Dr. Fatih Uçar |
| Course Assistant(s) |
Araş.gör.Dr.Fatih Uçar |
| Schedule |
Monday 9:11,Tuesdey 9:11 |
| Office Hour(s) |
Monday 15:17,Friday 9:11 |
| Teaching Methods and Techniques |
Lectures, application exercises by topic in classroom and tutorials, applications using MATLAB
in tutorials in the lab where applicable, assignments. |
| Principle Sources |
Statistics Murray R.Spiegel
Probability and statistical inference Rober V.Hogg , Elliot A.Tanis |
| Other Sources |
- |
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| Course Schedules |
| Week |
Contents |
Learning Methods |
| 1. Week |
Introduction to Probability
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Oral, written presentation and application
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| 2. Week |
Probability theory
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Oral, written presentation and application
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| 3. Week |
Descriptive Statistics and Basic Concepts
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Oral, written presentation and application
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| 4. Week |
Histograms,Frequency,
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Oral, written presentation and application
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| 5. Week |
Measures of central tendency,Mean, Median, Mode,Measures of variation: Std. Deviation
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Oral, written presentation and application
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| 6. Week |
Distributional models and probability
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Oral, written presentation and application
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| 7. Week |
Binom Distributions, Poisson Distributions ,exponantiel Distributions, Normal Distributions
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Oral, written presentation and application
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| 8. Week |
Mid-Term Exam.
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| 9. Week |
Sampling Methods and the Central Limit Theorem
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Oral, written presentation and application
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| 10. Week |
Sampling Distributions
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Oral, written presentation and application
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| 11. Week |
Estimation and Confidence Intervals
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Oral, written presentation and application
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| 12. Week |
Statistics Hypotheses
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Oral, written presentation and application
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| 13. Week |
t-test, F-test
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Oral, written presentation and application
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| 14. Week |
Chi-square, Tests for independence
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Oral, written presentation and application
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| 15. Week |
Final Exam.
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| 16. Week |
Final Exam.
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| 17. Week |
Final Exam.
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| Assessments |
| Evaluation tools |
Quantity |
Weight(%) |
| Midterm(s) |
1 |
50 |
| Final Exam |
1 |
50 |
| Program Outcomes |
| PO-1 | Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science. | | PO-2 | Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science. | | PO-3 | Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence. | | PO-4 | Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline. | | PO-5 | Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science. | | PO-6 | Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish. | | PO-7 | Using time effectively in inventing solutions by implementing analytical thinking. | | PO-8 | Understanding professional ethics and responsibilities. | | PO-9 | Having the ability to behave independently, to take initiative, and to be creative. | | PO-10 | Understanding the importance of lifelong learning and developing professional skills continuously. | | PO-11 | Using professional knowledge for the benefit of the society. | |
| Learning Outcomes |
| LO-1 | Make informed decisions based on data.
| | LO-2 | Apply a variety of statistical procedures and tests.
| | LO-3 | Know the uses, capabilities and limitations of various statistical procedures.
| | LO-4 | Set up probability models for a range of random phenomena, both discrete and continuous.
| | LO-5 | Apply the notions of conditional probability.
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| Course Assessment Matrix: |
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| | PO 1 | PO 2 | PO 3 | PO 4 | PO 5 | PO 6 | PO 7 | PO 8 | PO 9 | PO 10 | PO 11 | | LO 1 | | | | | | | | | | | | | LO 2 | | | | | | | | | | | | | LO 3 | | | | | | | | | | | | | LO 4 | | | | | | | | | | | | | LO 5 | | | | | | | | | | | |
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