Mathematics I

Course Information
TitleΜΑΘΗΜΑΤΙΚΑ Ι / Mathematics I
SchoolCivil Engineering
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
Course ID20000096

Programme of Study: PPS TPM - EISAKTEOI APO 2022 KAI EXĪS

Registered students: 0
OrientationAttendance TypeSemesterYearECTS

Programme of Study: PPS TPM (EISACΗTHENTES EŌS KAI 2021)

Registered students: 487
OrientationAttendance TypeSemesterYearECTS
Core program for all studentsCompulsory Course116

Class Information
Academic Year2018 – 2019
Class PeriodWinter
Faculty Instructors
Instructors from Other Categories
  • Zafeiria Roumelioti
Weekly Hours6
Class ID
1. ΓΕ0100Theodora Ioannidou, Zafeiria Roumelioti
Course Type 2016-2020
  • Background
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
Learning Outcomes
Upon completion of the course the students will be able to differentiate and iintegrate single variable functions, to find maxima and minima, to solve linear systems, compute eigenvectors and eigenvalues, compute the inverse of a matrix and sketch second order surfaces in space.
General Competences
  • Apply knowledge in practice
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Work autonomously
  • Advance free, creative and causative thinking
Course Content (Syllabus)
CALCULUS: Functions: hyperbolic and Inverse. Graphs. Derivatives and Differentials, Applications of derivatives, indefinite and Definite integrals, Generalized integrals, Applications of integrals. Series. LINEAR ALGEBRA: Matrices Algebra, Determinants, Systems of Linear Equations. Eigenvalues and Eigenfunctions. ANALYTIC GEOMETRY: Conic Sections. Second order surfaces. Second Order Equation of two and three dimensional space
linear algebra, analytic geometry, calculus
Educational Material Types
  • Book
Course Organization
Student Assessment
Written final exam
Student Assessment methods
  • Written Exam with Problem Solving (Formative)
Course Bibliography (Eudoxus)
1) Εισαγωγή στην Γραμμική Άλβγερα και την Αναλυτική Γεωμετρία, 2 Έκδοση Θ Ιωαννίδου, Τζίολας Κωδικός Εύδοξος 18548972 ISBN 978-960-418-718-8 2) Διαφορικός & Ολοκληρωτικός Λογισμός, Spivak Michael Πανεπιστημιακές εκδόσης Κρήτης ISBN 978-960-7309-13-6
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