Algebraic Curves (MAE521)
Undergraduate Courses Outlines - Department of Mathematics
General
| School |
School of Science |
|---|---|
| Academic Unit |
Department of Mathematics |
| Level of Studies |
Undergraduate |
| Course Code |
MAE627 |
| Semester |
6 |
| 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 |
Greek |
| Is the Course Offered to Erasmus Students |
Yes |
| Course Website (URL) | https://sites.google.com/site/apostolosthomamath/teaching/ |
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. |
Syllabus
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
| Delivery |
Classroom (face-to-face) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Use of Information and Communications Technology | - | ||||||||||
| Teaching Methods |
| ||||||||||
| Student Performance Evaluation |
Final written exam in Greek (in case of Erasmus students in English) which includes resolving application problems. |
Attached Bibliography
- Δ. Πουλάκης, Εισαγωγή στη γεωμετρία των αλγεβρικών καμπυλών, Εκδόσεις Ζήτη,ISBN 960-456-013-1, ISBN-13 978-960-456-013-4