General Mathematics II
| Title | ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / General Mathematics II |
| Code | NGGN 526E |
| Faculty | Sciences |
| School | Geology |
| Cycle / Level | 1st / Undergraduate, 2nd / Postgraduate |
| Teaching Period | Winter |
| Coordinator | Ioannis Pytharoulis |
| Common | No |
| Status | Active |
| Course ID | 600019044 |
Programme of Study: PPS-Tmīma Geōlogías (2020-sīmera)
Registered students: 63
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Elective Courses | 5 | 3 | 4 |
| EFARMOSMENĪ GEŌLOGIA | Elective Course belonging to the selected specialization (Elective Specialization Course) | 5 | 3 | 4 |
| GEŌFYSIKĪ | Elective Course belonging to the selected specialization (Elective Specialization Course) | 5 | 3 | 4 |
| METEŌROLOGIA - KLIMATOLOGIA | Elective Course belonging to the selected specialization (Elective Specialization Course) | 5 | 3 | 4 |
| Academic Year | 2024 – 2025 |
| Class Period | Winter |
| Faculty Instructors |
|
| Instructors from Other Categories |
|
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600257244
|
Course Type 2021
Specific 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/1/600257244
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=683
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) calculate the equations of different kinds of curves in the 3d space, as well as the divergence and rotation of vector fields.
2) create and calculate integrals of functions of one variable and line integrals.
3) distinguish the types of differential equations and solve first order differential equations.
4) understand the use and applications of curves in 3d space, divergence and rotation of vector fields, integrals and differential equations in order to solve problems in geosciences.
General Competences
- Apply knowledge in practice
- Work autonomously
Course Content (Syllabus)
1) VECTOR CALCULUS
Theory of curves in the three dimensional space (vector equation, parametric equations, tangent, perpendicular plane). Divergence and rotation of vector fields.
2) INTEGRAL CALCULUS
Integrals of functions of one variable, line integral, conservative fields.
3) FIRST ORDER DIFFERENTIAL EQUATIONS
Separation of variables, homogeneous, linear, Bernoulli, Riccati, exact, integrating factors.
4) APPLICATIONS in Geosciences
Keywords
vector equation, parametric equations, tangent, perpendicular plane, divergence, rotation, integral, conservative fields, differential equations
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 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 | 91 | ✓ | ✓ | ||
| Written assigments | 6 | ✓ | ✓ | ||
| Exams | 3 | ✓ | ✓ | ||
| Total | 100 |
Student Assessment
Description
1. Written Examination with the solution of exercises using multiple-choice and long-answer questions. It can constitute 100% of the total mark.
2. Optional paper delivery with the solutions of exercises 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
Additional bibliography for study
Διαφάνειες διδάσκοντα
Last Update
22-08-2025
