Mathematics

Course Information
TitleΜαθηματικά / Mathematics
Code12Υ
FacultyAgriculture, Forestry and Natural Environment
SchoolForestry and Natural Environment
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CommonNo
StatusActive
Course ID600019401

Programme of Study: PPS Tmīmatos Dasologías kai Fysikoý Perivállontos (2020-sīmera)

Registered students: 122
OrientationAttendance TypeSemesterYearECTS
Compulsory CoursesCompulsory Course113
Class Information
Academic Year2025 – 2026
Class PeriodWinter
Faculty Instructors
Weekly Hours3
Total Hours39
Class ID
600275587
Course Type 2021
General Foundation
Course Type 2016-2020
  • Background
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
Language of Instruction
  • Greek (Instruction, Examination)
Prerequisites
General Prerequisites
High School Basic knowledge of mathematics.
Learning Outcomes
Upon successful completion of the course, students will be able to: Demonstrate understanding of the mathematical concept of a function and consolidate their knowledge of its properties. Analyze and interpret the behavior of functions using graphical representations. Construct and accurately sketch the graphs of elementary functions. Identify and characterize sequences and series. Compute integrals of elementary as well as moderately complex functions. Formulate and evaluate integrals to represent physical and geometric quantities such as areas and volumes. Apply integration techniques to solve basic problems involving definite and indefinite integrals.
General Competences
  • Apply knowledge in practice
  • Make decisions
  • Work autonomously
  • Work in an interdisciplinary team
Course Content (Syllabus)
Number Systems and Basic Concepts: Natural, integer, rational, irrational, and real numbers; rounding; arithmetic operations and their properties; fractions; ratios and percentages; absolute values; algebraic identities; intervals; and basic notions of area. Equations and Inequalities: Linear and quadratic equations; inequalities of various types. Analytic Geometry: Distance between numbers and between points; equation of a line in the plane; distance of a point from a line; equation of a circle; transformations and changes of coordinate systems. Linear Algebra (Introductory Elements): Matrices, definitions, notation, and basic matrix operations. Functions: Linear, quadratic, polynomial, exponential, logarithmic, and trigonometric functions; graphs and properties; parabolas; applications of functions to practical problems. Calculus: Limits of functions; derivatives and differentials of elementary functions; applications of differentiation; indefinite and definite integrals; applications of integration to problems involving areas, volumes, and other quantities. Sequences and Series: Introduction to sequences, their limits, and the concept of series.
Keywords
variable, function, derivative, integral, area of ​​a region, 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 Laboratory Teaching
  • Use of ICT in Communication with Students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures260.9
Laboratory Work130.4
Reading Assigment481.6
Exams30.1
Total903
Student Assessment
Description
The achievement of the learning objectives will be assessed based on the written examination of the course at the end of the semester.
Student Assessment methods
  • Written Exam with Multiple Choice Questions (Summative)
  • Written Exam with Short Answer Questions (Summative)
  • Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Δημητροπούλου - Ψωμοπούλου Δ., 1992. Στοιχεία Γενικών Μαθηματικών. Β΄έκδοση. 294 σελ.
Additional bibliography for study
Οι διαφάνεις των διδασκαλιών με θεωρία και λυμένες ασκήσεις
Last Update
27-08-2025