Title  ΜΑΘΗΜΑΤΙΚΑ / Mathematics 
Code  001Υ 
Faculty  Agriculture, Forestry and Natural Environment 
School  Forestry and Natural Environment 
Cycle / Level  1st / Undergraduate 
Teaching Period  Winter 
Common  No 
Status  Active 
Course ID  420000001 
Programme of Study: UPS School of Forestry and Natural Environment (2009today)
Registered students: 353
Orientation  Attendance Type  Semester  Year  ECTS 

KORMOS  Compulsory Course  1  1  5 
Academic Year  2019 – 2020 
Class Period  Winter 
Instructors from Other Categories 

Weekly Hours  5 
Class ID  600150895

Class Schedule
Building  Σχ. Θετικών Επιστημών  νέο κτίριο  Ανατολ. πτέρυγα 
Floor  Ισόγειο 
Hall  "ΕΜΠΕΙΡΙΚΟΣ ΝΙΚΟΛΑΟΣ" (193) 
Calendar  Τρίτη 09:00 έως 11:00 
Type of the Course
 Background
Course Category
General Foundation
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600150895
 Other: http://users.auth.gr/cmoi
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
 Greek (Instruction, Examination)
 English (Examination)
Prerequisites
General Prerequisites
Knowledge of Mathematics of Lyceum. Very useful for repetition is considered the book of A΄ class of General Lyceum, and the first chapter (Differential Calculus) of the book “Mathematics and Elements of Statistics for the C΄class of General Lyceum”. These books and a lot of other are available in the page http://www.pischools.gr/ of pedagogical institute.
Learning Outcomes
To comprehend and consolidate the notion of a function, with which they dealt in some degree in the last years of Lyceum. To use the graphic representation for the recognition of behavior of functions and to learn how to draw the graphic representation of elementary functions. To recognize the sequences and series (numerical and power series) and to find, if exist, limits and infinite sums. To differentiate various forms of functions (explicit, implicit, parametric, bivariate) and apply the derivatives in the geometry and elsewhere. To integrate elementary and relatively complicated functions with one or two variables and express various quantities as areas, volumes, etc as integrals. Also, to solve some simple differential equations and find their general and partial solution.
General Competences
 Apply knowledge in practice
 Work autonomously
 Work in an interdisciplinary team
Course Content (Syllabus)
Functions (algebraic, exponential, logarithmic, trigonometric, transcendental, implicit, parametric), Sequences (the notion of limit, convergence, criteria of convergence), Series (definition, convergence, criteria of convergence), Power Series, Derivative (Derivative Rules, logarithmic differentiation, derivative of implicit and parametric functions, power series, second and higher order derivative), Taylor Polynomial and Taylor series, Applications of derivatives (geometrical applications, NewtonRaphson method for finding the roots of an equation), Complete study of a function (extrema, curvature, asymptote, graphic representation), Integrals (integration of elementary functions, theorem of mean value, the Fundamental Theorem of Calculus), Area under or between curves, Geometric applications, Techniques of Integration (Substitution, Integration by Parts, integration of a rational function), Functions of many variables (domain and continuity, partial derivative, extrema, double integrals), Differential equations (Separable, homogenous, linear of first order)
Keywords
variable, function, sequence, series, derivative, integral, area, improper integral, numerical integration, partial derivative, double integral
Educational Material Types
 Notes
 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
Description
Some of the lectures are given with Powerpoint and using Mathematical Packages, such as GeoGebra
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  ✓  
Tutorial  ✓  
Total 
Student Assessment
Student Assessment methods
 Written Exam with Multiple Choice Questions (Summative)
 Written Exam with Extended Answer Questions (Summative)
 Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Χρόνης Μωυσιάδης: ΑΝΩΤΕΡΑ ΜΑΘΗΜΑΤΙΚΑ, Κωδικός Βιβλίου στον Εύδοξο: 8855
Last Update
04062020