Real Analysis (AN1): Διαφορά μεταξύ των αναθεωρήσεων
Από Wiki Τμήματος Μαθηματικών
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! Learning outcomes | ! Learning outcomes | ||
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The plan of the course is the deeper study of the theory of metric spaces. The Stone - Weirstrass theorem is presented and also there are studied theorems that involve families of equicontinuous functions. Among others there are studied the following topics: the Cantor set, totally bounded and compact metric spaces, the Hausdorff metric and the Tietze theorem. Moreover, applications of the above theorems are given. | |||
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! General Competences | ! General Competences | ||
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The objective of the course is the graduate student’s ability achievement in analysis and synthesis of deeper knowledge of Real Analysis. | |||
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Αναθεώρηση της 20:19, 9 Νοεμβρίου 2022
Graduate Courses Outlines - Department of Mathematics
General
| School | School of Science |
|---|---|
| Academic Unit | Department of Mathematics |
| Level of Studies | Graduate |
| Course Code | AN1 |
| Semester | 1 |
| Course Title | Real Analysis |
| Independent Teaching Activities | Lectures (Weekly Teaching Hours: 3, Credits: 7.5) |
| Course Type | General Background |
| Prerequisite Courses |
Introduction to Topology |
| Language of Instruction and Examinations |
Greek |
| Is the Course Offered to Erasmus Students | Yes (in English) |
| Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
| Learning outcomes |
The plan of the course is the deeper study of the theory of metric spaces. The Stone - Weirstrass theorem is presented and also there are studied theorems that involve families of equicontinuous functions. Among others there are studied the following topics: the Cantor set, totally bounded and compact metric spaces, the Hausdorff metric and the Tietze theorem. Moreover, applications of the above theorems are given. |
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| General Competences |
The objective of the course is the graduate student’s ability achievement in analysis and synthesis of deeper knowledge of Real Analysis. |
Syllabus
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Teaching and Learning Methods - Evaluation
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