MATH349 INTRODUCTION TO MATHEMATICAL ANALY.
| Course Code: | 2360349 |
| METU Credit (Theoretical-Laboratory hours/week): | 4 (4.00 - 0.00) |
| ECTS Credit: | 9.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Lecturer Dr. MUHİDDİN UĞUZ |
| Offered Semester: | Fall Semesters. |
Course Objectives
- The students will learn the basic results in the field and get expirience in standard methods of real analysis.
- The students will get acquainted with the basic notions of the real number system (axioms, convergence, limit superior/inferior of real sequences, etc.).
- The students will get acquainted with the basic notions of metric spaces (topological properties, continuity/equicontinuity of functions, products, completion, compactness, connectedness, contraction mappings principles and their applications, Tietze extension theorem, Baire's theorem, etc.)
Course Content
LUB Property of real numbers. Compactness, connectedness, limits and continuity in metric spaces. Sequences and series of scalars, complete metric spaces, limsup. Sequences and series of functions, uniform convergence, applications.
Course Learning Outcomes
The students will gain competence in expressing problems of analytic nature in terms of convergence, continuity, compactness, and in solving the problems of real analysis thus obtained.
To achieve this basic goal, the students will have to attain a firm background in basic theoretical aspects of real analysis.
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