# ANALYSĪ I

 Title ΑΝΑΛΥΣΗ Ι / ANALYSĪ I Code ΜΑΥ1201 Faculty Sciences School Physics Cycle / Level 1st / Undergraduate Teaching Period Winter/Spring Coordinator Pantelis Papadopoulos Common No Status Active Course ID 600021848

### Programme of Study: PROGRAMMA SPOUDŌN 2022

Registered students: 159
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course117.5

 Academic Year 2022 – 2023 Class Period Winter Faculty Instructors Weekly Hours 5 Class ID 600223236
Course Type 2021
General Foundation
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Learning Outcomes
After successfully completing the course the students will be able do computations with complex numbers, 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 complicated functions, do implicit differentiation of algebraic forms and of functions expressed in parametric form- express and characterise functions in non-cartesian (polar) coordinates - 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 – Complex numbers, 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), functions expressed and studied in parametric forms - Sequences, and convergence criteria, Series, with special application in Taylor and MacLaurin Series. Integral Calculus - Functions of one variable (Indefinite integrals, the definite integral, improper integrals, approximate methods, applications of integrals).
Educational Material Types
• Book
Course Organization