Algebraic Curves (MAE627)

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School of Science

Academic Unit

Department of Mathematics

Level of Studies


Course Code




Course Title

Algebraic Curves

Independent Teaching Activities

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

Course Type

Special Background

Prerequisite Courses -
Language of Instruction and Examinations


Is the Course Offered to Erasmus Students


Course Website (URL) See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes

The students will acquire with the successful completion of the course the basic theory of Algebraic curves and the ability to solve problems on Algebraic curves.

General Competences

The course aim is for the student to acquire the ability in analysis and synthesis of knowledge in algebraic curves and produces free, creative and inductive thinking.


Affine plane, polynomial rings, unique Factorization Domains, resultants, Rational curves and Applications, Projective space, tangents, singular points, asymptotes. Intersection multiplicity, Bezout's Theorem, Linear Systems. Pascal's Theorem. Nine points Theorem. Inflection points. Elliptic Curves.

Teaching and Learning Methods - Evaluation


Classroom (face-to-face)

Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures (13X3) 39
Working independently 78
Exercises-Homeworks 33
Course total 150
Student Performance Evaluation

Final written exam in Greek (in case of Erasmus students in English) which includes resolving application problems.

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:

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