MATH301 INTRODUCTION TO PROBABILITY THEORY
| Course Code: | 2360301 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 6.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Lecturer MUHAMMAD DABBAGH |
| Offered Semester: | Fall Semesters. |
Course Objectives
This course is a calculus based introductory course on probability theory. The
emphasis is on the main concepts, calculations and applications, rather than the
measure theoretical foundations. Therefore, measure theoretical issues are only
mentioned in passing. Sketches of the main theorems such as the law of large numbers
and the central limit theorem are given, assuming preparatory results from analysis
without proof. The course provides students with essential basic knowledge in
probability theory, hence preparing them for various real-world applications or more
advanced courses.
Course Content
Events and probability. Combinatorial problems. Independence and conditional probability. Measure theoretical approach to probability. Random variables and distribution functions. Marginal distributions and conditional distributions. Moments and characteristic functions. Convergence of random variables. Law of large numbers.
Course Learning Outcomes
At the end of the course, students are expected to:
- understand main definitions of probability theory at a working level,
- learn how to compute expectations, variance and higher moments,
- calculate marginal distributions from joint distributions,
- apply normal and Poisson approximation in real life situations,
- make deductions by using the Law of Large Numbers and Central Limit Theorem
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Can produce innovative thoughts and products. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Has a comprehension of mathematical symbols, concepts together with the interactions among them and can express his/her solutions similarly. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Is responsive to life-long learning, improving his/her skills and abilities | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution