Homological Algebra (ΑΛ5): Διαφορά μεταξύ των αναθεωρήσεων
| Γραμμή 49: | Γραμμή 49: | ||
! Learning outcomes | ! Learning outcomes | ||
| | | | ||
The main purpose of the course is to introduce the main concepts, tools and methods of Homological Algebra, and to indicate some direct applications in various areas of Mathematics and other related sciences. | |||
|- | |||
At the end of the course, we expect the student to understand the basic concepts and the main theorems that are analysed in the course, to understand how these are applied to concrete examples arising from different thematic contexts, to be able to apply them to derive new elementary consequences in various areas, and finally to be able to perform some (not so obvious) calculations related to the thematic core of the course. |- | |||
! General Competences | ! General Competences | ||
| | | | ||
The course aims at enabling the graduate to acquire the ability to analyse and synthesize basic knowledge of Homological Algebra, which is an important part of modern Mathematics with numerous applications in other sciences. When the graduate comes in for the first time in connection with the basic notions of Homological Algebra, (s)he strengthens her/his creative, analytical and inductive thinking, and her/his ability to apply abstract knowledge in different thematic fields. | |||
|} | |} | ||
Αναθεώρηση της 21:28, 10 Νοεμβρίου 2022
Graduate Courses Outlines - Department of Mathematics
General
| School | School of Science |
|---|---|
| Academic Unit | Department of Mathematics |
| Level of Studies | Graduate |
| Course Code | ΑΛ5 |
| Semester | 2 |
| Course Title | Homological Algebra |
| Independent Teaching Activities | Lectures (Weekly Teaching Hours: 3, Credits: 7.5) |
| Course Type | General Background |
| Prerequisite Courses | - |
| 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 main purpose of the course is to introduce the main concepts, tools and methods of Homological Algebra, and to indicate some direct applications in various areas of Mathematics and other related sciences. At the end of the course, we expect the student to understand the basic concepts and the main theorems that are analysed in the course, to understand how these are applied to concrete examples arising from different thematic contexts, to be able to apply them to derive new elementary consequences in various areas, and finally to be able to perform some (not so obvious) calculations related to the thematic core of the course. |- |
General Competences |
The course aims at enabling the graduate to acquire the ability to analyse and synthesize basic knowledge of Homological Algebra, which is an important part of modern Mathematics with numerous applications in other sciences. When the graduate comes in for the first time in connection with the basic notions of Homological Algebra, (s)he strengthens her/his creative, analytical and inductive thinking, and her/his ability to apply abstract knowledge in different thematic fields. |
|---|
Syllabus
ΧΧΧ
Teaching and Learning Methods - Evaluation
| Delivery |
ΧΧΧ | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Use of Information and Communications Technology |
ΧΧΧ | ||||||||||
| Teaching Methods |
| ||||||||||
| Student Performance Evaluation |
ΧΧΧ |