Real Analysis (AN1)
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Graduate Courses Outlines - Department of Mathematics
General
School | School of Science |
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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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Use of Information and Communications Technology |
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Teaching Methods |
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Student Performance Evaluation |
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