# General Mathematics II

 Title ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / General Mathematics II Code NGGN 526E Faculty Sciences School Geology Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Ioannis Pytharoulis Common No Status Active Course ID 600019044

### Programme of Study: PPS-Tmīma Geōlogías (2020-sīmera)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
KORMOSElective Courses534
EFARMOSMENĪ GEŌLOGIAElective Course belonging to the selected specialization (Elective Specialization Course)534
GEŌFYSIKĪElective Course belonging to the selected specialization (Elective Specialization Course)534
METEŌROLOGIA - KLIMATOLOGIAElective Course belonging to the selected specialization (Elective Specialization Course)534

 Academic Year 2020 – 2021 Class Period Winter Weekly Hours 3 Class ID 600162605
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
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 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 2) The teacher communicates with students through email 3) The class evaluation is performed through the Quality Assurance Unit (MO.DI.P.)
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures91
Reading Assigment6
Exams3
Total100
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)
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
07-03-2020