Mathematics ii

Course Information
TitleΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / Mathematics ii
CodeGMC 214Y
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorIoannis Pytharoulis
Course ID40001801

Class Information
Academic Year2013 – 2014
Class PeriodSpring
Faculty Instructors
Weekly Hours4
Class ID
Type of the Course
  • Background
Course Category
General Foundation
Mode of Delivery
  • Face to face
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
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 (limits, continuity, differentiation, integration). Theory of curves in the three dimensional space (tangent, perpendicular plane). Vector functions of several variables (limits, continuity, partial derivatives, total differential). Scalar and vector fields (gradient, divergence, rotation). Differentiation of scalar field along a curve and direction. Theory of surfaces (curvilinear coordinates, tangent plane and vertical vector). Line integrals of vector fields (properties, conservative fields and potential function, Green’s theorem). Line integrals of scalar fields. Area of surfaces (in Cartesian and curvilinear coordinates). Surface integrals of scalar and vector fields. Applications.
Vectors, Scalar and vector fiends, surface, Line and surface 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
1) All class material is available in electronic form to all students through the course web page. 2) Communication with the students by-email.
Course Organization
Student Assessment
Written exams, written assignments (during lectures and at home)
Student Assessment methods
  • Written Exam with Problem Solving (Formative)
Course Bibliography (Eudoxus)
Φλωράς Σ. 2001: Στοιχεία διανυσματικής ανάλυσης. Εκδόσεις Γιαχούδη - Γιαπούλη. ISBN: 960-91549-0-5 Σεραφειμίδης Κ.Ι. 2004: Διανυσματική ανάλυση, Θεωρία και Ασκήσεις. Εκδόσεις Σοφία. ISBN: 960-87601-4-3
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