Mathematics I
| Title | ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ Ι / Mathematics I |
| Code | GGN 101Y |
| Faculty | Sciences |
| School | Geology |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Ioannis Pytharoulis |
| Common | No |
| Status | Active |
| Course ID | 40001767 |
| Academic Year | 2022 – 2023 |
| Class Period | Winter |
| Faculty Instructors | |
| Instructors from Other Categories | |
| Weekly Hours | 4 |
| Class ID | 600215854
|
Course Type 2016-2020
- Background
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600215854
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=11001
- Other: https://users.auth.gr/pyth/mathsI/
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 students will:
1) Be able to perform matrix operations, calculate determinants, solve systems of equations, produce graphical representation of mathematical functions, calculate derivatives and integrals.
2) Distinguish the kinds of curves in 2 and 3 dimensions.
3) To understand and apply matrices, determinants, systems of equations, mathematical functions, derivatives and integrals in order to solve problems.
General Competences
- Apply knowledge in practice
- Work autonomously
Course Content (Syllabus)
Matrices (operations, properties), determinants (properties), inverse of a matrix, rank, solution of linear systems. Analytical geometry (coordinate systems, equation of line, plane, circle etc.), quadric surfaces. Functions of one variable, graphical representation. Taylor-Maclaurin series. Derivatives. Integrals. Functions of multiple variables and partial derivatives. Applications.
Keywords
matrices, determinants, systems of equations, analytical geometry, functions, derivatives, integrals
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 elearning and the course web page.
2) The teachers communicate with the students through e-mail, sis.auth.gr, elearning.auth.gr
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 143 | 4.8 | ✓ | ✓ | |
| Reading Assigment | 4 | 0.1 | ✓ | ✓ | ✓ |
| Exams | 3 | 0.1 | ✓ | ✓ | |
| Total | 150 | 5 |
Student Assessment
Description
Quality management system of the Quality Assurance Unit (MO.DI.P.)
Student Assessment methods
- Written Exam with Multiple Choice Questions (Formative, Summative)
- Oral Exams (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1) 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 Ι.Κ.Ε.
2) Ανώτερα Μαθηματικά
Κωδικός Βιβλίου στον Εύδοξο: 59396333
Έκδοση: 1η/2016
Συγγραφείς: ΜΩΥΣΙΑΔΗΣ ΧΡΟΝΗΣ
ISBN: 978-960-602-116-9
Τύπος: Σύγγραμμα
Διαθέτης (Εκδότης): ΑΦΟΙ ΚΥΡΙΑΚΙΔΗ ΕΚΔΟΣΕΙΣ Α.Ε.
Last Update
06-04-2020
