Προβολή πηγαίου κώδικα για τη σελίδα Applied Tensor Analysis (MAE543)

[[Undergraduate Courses Outlines]] - [https://math.uoi.gr  Department of Mathematics]

=== General ===
{| class="wikitable"
|-
! School
|
School of Science
|-
! Academic Unit
|
Department of Mathematics
|-
! Level of Studies
|
Undergraduate
|-
! Course Code
|
ΜΑΕ543
|-
! Semester
|
5
|-
! Course Title
|
Applied Tensor Analysis
|-
! Independent Teaching Activities
|
Lectures (Weekly Teaching Hours: 3, Credits: 6)
|-
! Course Type
|
Special Background
|-
! Prerequisite Courses
| -
|-
! Language of Instruction and Examinations
|
Greek
|-
! Is the Course Offered to Erasmus Students
|
Yes (in English)
|-
! Course Website (URL)
| See [https://ecourse.uoi.gr/ eCourse], the Learning Management System maintained by the University of Ioannina.
|}

=== Learning Outcomes ===
{| class="wikitable"
|-
! Learning outcomes
|
The course is an introduction to the concepts of Tensor Analysis. The objectives of the course are: 
* Development of the theoretical background in matters relating to Tensor Analysis.
* Ability of the student to apply the basic concepts of Tensor Analysis. 
* Upon completion of this course the student will be able to solve with analytical methods simple problems of Tensor Analysis and deepen further understanding of such methods.
|-
! General Competences
|
The course aims to enable the undergraduate students to develop basic knowledge of Applied Tensor Analysis and in general of Applied Mathematics. The student will be able to cope with problems of Applied Mathematics giving the opportunity to work in an international multidisciplinary environment.
|}
=== Syllabus ===
The tensor concept, Invariance of tensor equations, Curvilinear coordinates, Tensors in generalized curvilinear coordinates, Gauss, Green and Stokes theorems, Scalar and vector fields, Nabla operator and differential operators, Covariant differentiation, Integral theorems, Applications to Fluid Dynamics.
=== Teaching and Learning Methods - Evaluation ===
{| class="wikitable"
|-
! Delivery
|
In class
|-
! Use of Information and Communications Technology
| -
|-
! Teaching Methods
|
{| class="wikitable"
! Activity
! Semester Workload
|-
| Lectures
| 39
|-
| Study of theory
| 78
|-
| Home exercises
| 33
|-
| Course total 
| 150
|}
|-
! Student Performance Evaluation
|
* Weekly assignments
* Final project
* Written examination at the end of the semester 
|}
=== Attached Bibliography ===

<!-- In order to edit the bibliography, visit the webpage -->
<!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF:MAE543-Biblio -->

See the official [https://service.eudoxus.gr/public/departments#20 Eudoxus site] or the [https://cloud.math.uoi.gr/index.php/s/62t8WPCwEXJK7oL local repository] of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

{{MAE543-Biblio}}