Introduction to Mathematical Physics (MAE743)

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Undergraduate Courses Outlines - Department of Mathematics

General

School

School of Science

Academic Unit

Department of Mathematics

Level of Studies

Undergraduate

Course Code

ΜΑΕ743

Semester

7

Course Title

Introduction to Mathematical Physics

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 eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes

The course is an introduction to the basic analytic and numerical methods of Mathematical Physics. The objectives of the course are:

  • Development of the theoretical background in matters relating to mathematical physics.
  • Ability of the student to apply the basic concepts of mathematical physics.
  • Upon completion of this course the student will be able to solve with analytical and approximate mathematical methods simple problems of mathematical physics and deepen further understanding of such methods.
General Competences

The course aims to enable the undergraduate students to develop basic knowledge of Mathematical Physics 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

Short introduction of linear vector spaces, Vector spaces of infinite dimensions, The Sturm-Liouville problem, Orthogonal polynomials and special functions, Multi-dimensional problems, Operator Theory, Applications in modern Physics.

Teaching and Learning Methods - Evaluation

Delivery

In class

Use of Information and Communications Technology Use of computer (Mechanics) lab
Teaching Methods
Activity Semester Workload
Lectures 39
Study of theor 78
Home exercises 33
Course total 150
Student Performance Evaluation
  • Weekly assignments
  • Final project
  • Written examination at the end of the semester

Attached Bibliography

See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics.