Mathematics I

Course Information
TitleΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ Ι / Mathematics I
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CoordinatorPantelis Papadopoulos
Course ID40002841

Class Information
Academic Year2022 – 2023
Class PeriodWinter
Faculty Instructors
Instructors from Other Categories
Weekly Hours4
Class ID
Course Type 2016-2020
  • General Knowledge
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
After successfully completing the course the students will be able to: - completely characterise real functions with one real variable (maxima, minima, asymptotes, intervals of increasing, decreasing function values) - compute limits of functions using theorems for limits and limits of indefinable forms - compute derivatives of complex functions, do implicit differentiation of algebraic forms and of functions expressed in parametric form - solve problems that require applications of differentiation/extrema-finding in practical problems - expand functions in Taylor series and use them to conduct approximations - compute indefinite and definite integrals using theorems of integrations - compute improper integrals using theorems for integrations and for computing limits of functions - use integrals for solving practical problems (e.g. volumes of solids or rotation)
General Competences
  • Apply knowledge in practice
  • Work autonomously
  • Advance free, creative and causative thinking
Course Content (Syllabus)
Differential Calculus - Functions of one variable (Real Functions of a real variable, the derivative and the differential of the function, applications of a derivative, study of the real functions using derivatives) - Integral Calculus - Functions of one variable (Indefinite integrals, the definite integral, improper integrals, approximate methods, applications of 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
  • Use of ICT in Student Assessment
Course Organization
Problem solving21
Student Assessment
Student Assessment methods
  • Written Exam with Problem Solving (Summative)
Course Bibliography (Eudoxus)
Απειροστικός Λογισμός, R.L. Finney, M.D. Weir, F.R. Giordano, Εκδόσεις: ΙΤΕ/ΠΑΝ. ΕΚΔ. ΚΡΗΤΗΣ Ανώτερα Μαθηματικά, Χ. Μωυσιάδης, Εκδόσεις: ΧΡΙΣΤΟΔΟΥΛΙΔΗ
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