Mathematics ΙΙ

Course Information
TitleΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / Mathematics ΙΙ
CodeGMC 214Y
FacultySciences
SchoolGeology
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorIoannis Pytharoulis
CommonNo
StatusActive
Course ID40001801
Class Information
Academic Year2025 – 2026
Class PeriodSpring
Faculty Instructors
Instructors from Other Categories
Class ID
600285687
Course Type 2016-2020
  • Background
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
  • English (Instruction, Examination)
Prerequisites
General Prerequisites
Derivatives, partial derivatives, integrals
Learning Outcomes
Upon successful completion of this course, the students will: 1) Understand the concept of vector / vector functions 2) Understand and apply the operations among vectors and vector functions, their derivatives and integrals 3) To know and use the applications of vectors to solve problems
General Competences
  • Apply knowledge in practice
  • Work autonomously
Course Content (Syllabus)
Vectors in three dimensional space. Product of vectors (scalar, vector and triple) with applications to analytic geometry. Vector functions of one variable (differentiation, integration). Theory of curves in the three dimensional space (tangent, perpendicular plane). Vector functions of several variables (partial derivatives, total differential). Scalar and vector fields (gradient, divergence, rotation, laplacian). Differentiation of scalar field along a curve and direction. Theory of surfaces (vertical vector). Line integrals of vector fields (properties, conservative fields and potential function). Line integrals of scalar fields. Applications.
Keywords
Vectors, Scalar and vector fiends, surface, Line 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) Communication with the students via email, sis.auth.gr, elearning.auth.gr
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures1173.9✓✓
Exams30.1✓✓
Total1204
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)
  • Written Assignment (Formative, Summative)
  • Oral Exams (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1) Στοιχεία Διανυσματικής Ανάλυσης Κωδικός Βιβλίου στον Εύδοξο: 22825933 Έκδοση: 2η έκδ./2012 Συγγραφείς: Φλωράς Σάββας ISBN: 978-960-456-356-2 Τύπος: Σύγγραμμα Διαθέτης (Εκδότης): Ζήτη Πελαγία & Σια Ι.Κ.Ε. 2) ΛΟΓΙΣΜΟΣ ΣΥΝΑΡΤΗΣΕΩΝ ΠΟΛΛΩΝ ΜΕΤΑΒΛΗΤΩΝ ΚΑΙ ΔΙΑΝΥΣΜΑΤΙΚΗ ΑΝΑΛΥΣΗ Κωδικός Βιβλίου στον Εύδοξο: 22766838 Έκδοση: 1η έκδοση/2012 Συγγραφείς: ΚΩΝΣΤΑΝΤΙΝΙΔΟΥ ΜΑΡΙΑ, ΣΕΡΑΦΕΙΜΙΔΗΣ ΚΑΡΟΛΟΣ ISBN: 978-960-6706-18-9 Τύπος: Σύγγραμμα Διαθέτης (Εκδότης): "σοφία" Ανώνυμη Εκδοτική & Εμπορική Εταιρεία
Last Update
13-01-2025