# 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: 141
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course117

 Academic Year 2020 – 2021 Class Period Winter Faculty Instructors Ioannis Pytharoulis 26hrs Instructors from Other Categories Dimitrios Bampzelis 26hrs Weekly Hours 4 Class ID 600162599
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 student will: 1) Be able to perform matrix operations, calculate determinants, solve systems of equations and calculate derivatives. 2) Be able to distinguish different types of curves in 2 and 3 dimensions. 3) Understand the concept of vector / vector functions. Understand and apply the main types of operations for vectors and vector functions, as well as their derivatives. 4) Understand the use and application 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 2) The teacher communicates with students through email 3) The class evaluation is performed through the Quality Assurance Unit (MO.DI.P.)
Course Organization
Lectures156
Exams3
Total175
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