Methods of Applied Mathematics I (ΕΜ1)

Graduate Courses Outlines - Department of Mathematics

General

School	School of Science
Academic Unit	Department of Mathematics
Level of Studies	Graduate
Course Code	EM1A
Semester	1
Course Title	Methods of Applied Mathematics
Independent Teaching Activities	Lectures (Weekly Teaching Hours: 3, Credits: 7.5)
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 analytical and numerical methods of applied mathematics. The objectives of the course are: Development of the theoretical background of the postgraduate student in matters relating to Applied Mathematics. Ability of the student to apply analytical, approximate and numerical methods in problems of Mathematics, Physics and Engineering. Upon completion of the course the graduate student will be able to solve problems with analytical, approximate or numerical methods and further deepen the understanding of such methods.

General Competences

Adapting to new situations Decision-making Working independently Team work

Syllabus

Dimensional analysis and normalization, Perturbation theory for algebraic equations, integral and differential equations, Physical models described by partial differential equations (PDEs), Wave phenomena in continuous media, The course includes training in computational methods in the computer laboratory (Mechanics lab).

Teaching and Learning Methods - Evaluation

Delivery	In the class
Use of Information and Communications Technology	Use of computer (Mechanics) lab
Teaching Methods	Activity Semester Workload Lectures 39 Study and analysis of bibliography 78 Preparation of assignments and interactive teaching 70.5 Course total 187.5
Student Performance Evaluation	Weekly assignments Final project Written examination at the end of the semester

Attached Bibliography

1. Applied Mathematics, Logan D.J., 1st Edition, 2010 (in Greek).
2. Perturbation Methods, A.H. Nayfeh, 1η έκδοση, Willey-VCH, 2000.