Geometry of Transformations (MAE527)

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School of Science

Academic Unit

Department of Mathematics

Level of Studies


Course Code




Course Title

Geometry of Transformations

Independent Teaching Activities

Lectures (Weekly Teaching Hours: 3, Credits: 6)

Course Type

Special Background

Prerequisite Courses

Linear Algebra, Analytic Geometry

Language of Instruction and Examinations


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 can be viewed as a continuation of Analytic Geometry. The aim is to study geometric transformations of the plane or space. The classification of isometries is provided. Further applications are given, as well the classification of second degree surfaces. Moreover, algebraic curves are studied. Upon completion of the course, the student should be familiar with notions of geometry and geometric transformations that are used in other courses like Calculus of several variables.

General Competences
  • Work autonomously
  • Work in teams
  • Develop critical thinking skills.


Geometric transformations of the plane and space. Isometries, applications. Classification of second degree surfaces. Algebraic curves.

Teaching and Learning Methods - Evaluation



Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures 39
Autonomous study 111
Course total 150
Student Performance Evaluation

Written final examination.

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. Books and other resources, not provided by Eudoxus:

  • Thomas F. Banchoff και John Wermer, Η Γραμμική Άλγεβρα μέσω Γεωμετρίας, Εκδόσεις Leader Books, Σειρά Πανεπιστημιακά Μαθηματικά Κείμενα, Αθήνα, 2009