Vector Calculus, Linear Algebra and Analytic Geometry
| Title | ΔΙΑΝΥΣΜΑΤΙΚΟΣ ΛΟΓΙΣΜΟΣ, ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ ΚΑΙ ΑΝΑΛΥΤΙΚΗ ΓΕΩΜΕΤΡΙΑ / Vector Calculus, Linear Algebra and Analytic Geometry |
| Code | ΜΑΥ1202 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Efthymia Meletlidou |
| Common | No |
| Status | Active |
| Course ID | 600021658 |
Programme of Study: PROGRAMMA SPOUDŌN 2022
Registered students: 159
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Compulsory Course | 1 | 1 | 8 |
| Academic Year | 2022 – 2023 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 5 |
| Class ID | 600223237
|
Course Type 2021
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600223237
- At the Website of the School: www.physics/courses/10
- eLearning: https://elearning.auth.gr/course/view.php?id=16995
Learning Outcomes
After the successful examination of the course the students will have the basic knowledge on linear algebra of vector spaces and matrices, matrix diagonalization and linear systems, as well as analytic geometry.
General Competences
- Apply knowledge in practice
- Make decisions
- Work autonomously
- Work in teams
- Work in an interdisciplinary team
- Be critical and self-critical
- Advance free, creative and causative thinking
Course Content (Syllabus)
Vector spaces and vector calculus - inner products, cross products, mixed products, linear independence and basis. Linear transformations - polar and spherical coordinates. Matrices and matrix calculus - determinants - eigenvectors, eigenvalues and diagonalization. Linear Systems of equations - homogeneous and inhomogeneous systems. Analytic geometry. Conic Sections (ellipses, hyperbolas, parabolas)
Keywords
vector, vector space, matrix, determinant, linear system, eigenvalue, eigenvector, line, plane, conic section.
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 117 | 3.9 | |||
| Tutorial | 78 | 2.6 | |||
| Exams | 5 | 0.2 | |||
| Other / Others | 40 | 1.3 | |||
| Total | 240 | 8 |
Student Assessment
Description
The evaluation of the student is being carried out by the final examinations that counts 100% on the final grade. There is a bonus of 10% through optional excersices. If the students want they can participate in a mid term examination that is carried out remotely through e-learning and with multiple choice questions that counts for 30% of their grade (if they receive above 1,5). If they decide to keep this result then the final examination counts 70%.
Student Assessment methods
- Written Exam with Problem Solving (Summative)
- Ασκήσεις (Summative)
Bibliography
Course Bibliography (Eudoxus)
Στοιχεία Διανυσματικού Λογισμού, Γραμμικής Άλγεβρας και Αναλυτικής Γεωμετρίας, Δ.Β. Παπαδόπουλος, Ι.Ε. Πασχάλης, Χ.Κ. Μουστακίδης.
Εισαγωγή στη Γραμμική ‘Αλγεβρα και την Αναλυτική Γεωμετρία., Θεοδώρα Ιωαννίδου, εκδόσεις Τζιόλα.
Γραμμική Άλγεβρα Αναλυτική Γεωμετρία και Εφαρμογές, Τύπος: Σύγγραμμα, Καδιανάκης Ν. Καρανάσιος Σ., 2017, Τσότρας.
Last Update
07-01-2023
