Calculus I

Course Information
TitleΛΟΓΙΣΜΟΣ Ι / Calculus I
Code0201
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CommonYes
StatusActive
Course ID40000489

Programme of Study: Merikīs Foítīsīs (2014-sīmera)

Registered students: 3
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course117

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 264
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course117
Class Information
Academic Year2025 – 2026
Class PeriodWinter
Faculty Instructors
Instructors from Other Categories
Weekly Hours6
Total Hours78
Class ID
600276130
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
General Competences
  • Apply knowledge in practice
  • Adapt to new situations
  • Make decisions
  • Work autonomously
  • Advance free, creative and causative thinking
Course Content (Syllabus)
The course is part of the module of courses that aim to offer dexterities for teaching mathematics in Secondary Education. Basic notions (natural, rational and real numbers, mathematical induction, completeness of the real numbers) - Sequences of real numbers (limits at infinity and properties, monotonic and bounded sequences, limit points and subsequences, limsup and liminf, Cauchy sequences, Blozano Weierstrass theorem) - Real functions (Limits, Continuity, intermediate value theorem and properties of continuous functions in closed intervals) - The Derivative (Applications of the derivative, chain rule, Implicit differentiation, mean value theorem, L'Hospital rule, convex and concave functions) - Study of functions with the use of derivatives.
Keywords
sequences, limits, continuity, derivative.
Educational Material Types
  • Notes
  • Book
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures65✓
Reading Assigment114✓
Tutorial13✓
Exams3✓
Total195
Student Assessment
Description
Final Exam (60%), Intermediate Exam (40%)
Student Assessment methods
  • Written Exam with Multiple Choice Questions (Summative)
  • Written Exam with Short Answer Questions (Summative)
  • Written Exam with Extended Answer Questions (Summative)
  • Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
-Aπειροστικός Λογισμός, Τόμος Α, Ντούγιας Σωτήρης, 2007, Leader Books, ISBN: 9789607901668 - Διαφορικός και Ολοκληρωτικός Λογισμός, M. Spivak, Παν/κές Εκδόσεις Κρήτης, 2010. - Απειροστικός Λογισμός Ι, Τόμος Ι, Σ. Νεγρεπόντης, Σ. Γιωτόπουλος, Ε. Γιαννακούλιας, Εκδόσεις Αθανασόπουλος, Αθήνα.
Last Update
15-09-2025