Differential Forms
| Title | ΔΙΑΦΟΡΙΚΕΣ ΜΟΡΦΕΣ / Differential Forms |
| Code | 0361 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Fani Petalidou |
| Common | No |
| Status | Active |
| Course ID | 40000472 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | 7 | 4 | 5.5 |
| Academic Year | 2026 – 2027 |
| Class Period | Winter |
| Faculty Instructors |
|
| Class ID | 600299227
|
Course Type 2021
Specific Foundation
Course Type 2011-2015
Knowledge Deepening / Consolidation
Mode of Delivery
- Face to face
Digital Course Content
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 0201 Calculus I
- 0233 General Topology
- 0235 Partial Differential Equations
- 0110 ELEMENTS OF LINEAR ALGEBRA
- 0305 ELEMENTS OF ANALYTIC GEOMETRY
- 0108Α Linear Algebra
- 0202Α Calculus II
- 0203Α Calculus III
- 0204Α Topology of Metric Spaces
- 0205Α Calculus IV
- 0206Α Differential Equations
- 0303Α Classical Differential Geometry I
General Competences
- Apply knowledge in practice
- Work autonomously
- Advance free, creative and causative thinking
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | 1.3 | |||
| Reading Assigment | 123 | 4.1 | |||
| Exams | 3 | 0.1 | |||
| Total | 165 | 5.5 |
Student Assessment
Student Assessment methods
- Written Exam with Extended Answer Questions (Summative)
- Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
- Advanced Calculus A Differential Forms Approach / by Edwards, Harold M.
Published 2014
https://link.springer.com/book/10.1007/978-0-8176-8412-9
- A Geometric Approach to Differential Forms by Bachman, David
Published 2012
https://link.springer.com/book/10.1007/978-0-8176-8304-7
Additional bibliography for study
- Henri Cartan: Formes Différentielles, avec exercices, Hermann 1967 (Nouveau tirage 2007).
- Harley Flanders : Differential Forms with Applications to the Physical Sciences, Dover Publications, Inc. New York, 1989.
- Jon Pierre Fortney, A Visual Introduction to Differential Forms and Calculus on Manifolds, Birkhäuser 2018.
- Victor Guillemin, Peter Haine: Differential Forms, World Scientific, 2020.
- Loring W. Tu: An introduction to Manifolds, Universitext, Springer 2011. (Κεφάλαιο 1)
- Steven H. Weintraub, Differential Forms, Theory and Practice, Elsevier 2014.
Last Update
06-02-2025
