Type of course: | Compulsory |
Language of instruction: | English |
Erasmus Language of instruction: | English |
Name of lecturer: | Pax Dorin Wainberg-Drăghiciu |
Seminar tutor: | Pax Dorin Wainberg-Drăghiciu |
Form of education | Full-time |
Form of instruction: | Class |
Number of teaching hours per semester: | 56 |
Number of teaching hours per week: | 4 |
Semester: | Autumn |
Form of receiving a credit for a course: | Grade |
Number of ECTS credits allocated | 5 |
1. Introduction. Algebraic structures 2. Matrix operations 3. Vector spaces. Euclidean spaces 4. Linear transformations 5. Eigenvectors and eigenvalues 6. Multiline algebra and tensor product. Bilinear applications, quadratic forms 7. Vectors 8. Lines and planes in space 9. Transformations 10. Conics 11. Quadrics 12. Differential geometry 13. Surfaces
After completing this course students should: • Understand the definitions and various properties of algebraic and geometrical structures. • Be proficient at writing proofs and understand any proof presented throughout the course. • Be able to classify specific properties for the studied notions. • Be able to solve specific problems from this field.