General Mathematics I
| Title | ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ Ι / General Mathematics I |
| Code | NGGN 101Y |
| Faculty | Sciences |
| School | Geology |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Ioannis Pytharoulis |
| Common | No |
| Status | Active |
| Course ID | 600019012 |
Programme of Study: PPS-Tmīma Geōlogías (2020-sīmera)
Registered students: 154
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Compulsory Course | 1 | 1 | 7 |
| Academic Year | 2024 – 2025 |
| Class Period | Winter |
| Faculty Instructors |
|
| Instructors from Other Categories |
|
| Weekly Hours | 4 |
| Total Hours | 52 |
| Class ID | 600257242
|
Course Type 2021
General Foundation
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
- Distance learning
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600257242
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=653
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Instruction, Examination)
Learning Outcomes
Upon successful completion of this course, the student will be able to:
1) perform matrix operations, calculate determinants and derivatives, and solve systems of equations.
2) distinguish the different types of curves in 2 and 3 dimensions.
3) define and explain the concept of vector / vector functions and apply the operations of vectors or vector functions, as well as their derivatives.
4) understand the use and applications of matrices, determinants, systems of equations, scalar and vector functions and derivatives in order to solve problems in geosciences.
General Competences
- Apply knowledge in practice
- Work autonomously
Course Content (Syllabus)
1) MATRIX THEORY, DETERMINANTS, SYSTEMS
Matrices (operations, inverse, rank), determinants (calculation, properties), systems (linear 2x2, 3x3 and non-linear).
2) REAL FUNCTIONS
Functions of one and multiple variables, derivatives, partial derivatives.
3) ANALYTICAL GEOMETRY
Coordinate systems (cartesian, polar, spherical, logarithmic). Equations of plane, line, surfaces.
4) VECTOR CALCULUS
Vectors in three-dimensional space. Operations of vectors (addition, scalar, vector and triple product, mean value). Vector functions of one and multiple variables. Derivatives and partial derivatives of vector functions. Gradient of scalar fields.
5) APPLICATIONS in Geosciences
Keywords
Matrices, determinants, systems of equations, functions, derivatives, analytical geometry, vector calculus
Educational Material Types
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Description
1) All class material is available in electronic form to all students through the course web page (elearning).
2) The teacher communicates with the students through email, elearning and Zoom.
3) The class evaluation is performed through the Quality Assurance Unit (MO.DI.P.)
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 156 | ✓ | ✓ | ||
| Written assigments | 16 | ✓ | ✓ | ||
| Exams | 3 | ✓ | ✓ | ||
| Total | 175 |
Student Assessment
Description
1. Written Examination with the solution of exercises using multiple-choice questions. It can constitute 100% of the total mark.
2. Optional paper delivery with exercise solutions may give additional up to 1 mark out of 10 if the written examination is graded with at least 5 (pass mark) out of 10.
Student Assessment methods
- Written Exam with Multiple Choice Questions (Formative, Summative)
- Written Assignment (Formative, Summative)
- Oral Exams (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Ανώτερα μαθηματικά, Τόμος Πρώτος, Κωδικός Βιβλίου στον Εύδοξο: 10980, Αριθμός τόμου: Τόμος 1, Έκδοση: 1η έκδ./2005, Συγγραφείς: Κυβεντίδης Θωμάς Α., ISBN: 960-431-978-7 Τύπος: Σύγγραμμα, Διαθέτης (Εκδότης): Ζήτη Πελαγία & Σια Ο.Ε
- Ανώτερα Μαθηματικά, Κωδικός Βιβλίου στον Εύδοξο: 59396333, Έκδοση: 1η/2016, Συγγραφείς: ΜΩΥΣΙΑΔΗΣ ΧΡΟΝΗΣ, ISBN: 9789606021169, Τύπος: Σύγγραμμα, Διαθέτης (Εκδότης): ΑΦΟΙ ΚΥΡΙΑΚΙΔΗ ΕΚΔΟΣΕΙΣ Α.Ε.
Additional bibliography for study
Διαφάνειες διδάσκοντα
Last Update
22-08-2025
