# Mathematics I

 Title ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ Ι / Mathematics I Code ΜΑΥ201 Faculty Sciences School Physics Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Pantelis Papadopoulos Common No Status Active Course ID 40002841

 Academic Year 2022 – 2023 Class Period Winter Faculty Instructors Pantelis Papadopoulos 52hrs Emmanouil Plionis 52hrs Christos Tsagkas 52hrs Instructors from Other Categories Vasileios Oikonomou 39hrs Weekly Hours 4 Class ID 600216996
Course Type 2016-2020
• General Knowledge
Course Type 2011-2015
General Foundation
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)
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