Partial Differential Equations (AN6): Διαφορά μεταξύ των αναθεωρήσεων

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! Learning outcomes
! Learning outcomes
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The course, apart from the instruction in the classical quartet of Partial Differential Equations (PDEs) (transport, Laplace, heat and wave) in several space variables, aims, first, to highlight the modern, analytic approach to the theory of PDEs and the reasons that suggest it, and, second, to provide an introduction to nonlinear PDEs, especially concerning first-order and hyperbolic equations. The skills and competences the students will acquire concern, on the one hand, the paradigmatic transition from the resolution of a problem to the theoretical analysis of its properties and the investigation of its structural foundation, and, on the other hand, the recognition of the essential difference between linear and nonlinear problems and the limitations of the method of approximation of a nonlinear problem by linear problems.
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! General Competences
! General Competences
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ΧΧΧ
* Search for, analysis and synthesis of data and information
* Adapting to new situations
* Decision-making
* Working independently
* Working in an interdisciplinary environment
* Criticism and self-criticism
* Production of free, creative and inductive thinking
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Αναθεώρηση της 18:22, 13 Νοεμβρίου 2022

Graduate Courses Outlines - Department of Mathematics

General

School School of Science
Academic Unit Department of Mathematics
Level of Studies Graduate
Course Code AN6
Semester 2
Course Title

Partial Differential Equations

Independent Teaching Activities Lectures (Weekly Teaching Hours: 3, Credits: 7.5)
Course Type General Background
Prerequisite Courses

Vector Analysis (undergraduate), Real Analysis, Functional Analysis

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 course, apart from the instruction in the classical quartet of Partial Differential Equations (PDEs) (transport, Laplace, heat and wave) in several space variables, aims, first, to highlight the modern, analytic approach to the theory of PDEs and the reasons that suggest it, and, second, to provide an introduction to nonlinear PDEs, especially concerning first-order and hyperbolic equations. The skills and competences the students will acquire concern, on the one hand, the paradigmatic transition from the resolution of a problem to the theoretical analysis of its properties and the investigation of its structural foundation, and, on the other hand, the recognition of the essential difference between linear and nonlinear problems and the limitations of the method of approximation of a nonlinear problem by linear problems.

General Competences
  • Search for, analysis and synthesis of data and information
  • Adapting to new situations
  • Decision-making
  • Working independently
  • Working in an interdisciplinary environment
  • Criticism and self-criticism
  • Production of free, creative and inductive thinking

Syllabus

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Teaching and Learning Methods - Evaluation

Delivery

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Use of Information and Communications Technology

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Teaching Methods
Activity Semester Workload
Lectures 39
ΧΧΧ 000
ΧΧΧ 000
Course total 187.5
Student Performance Evaluation

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Attached Bibliography

Πρότυπο:MAM199-Biblio