Calculus Ι
| Title | ΑΝΑΛΥΣΗ Ι / Calculus Ι |
| Code | ΜΑΥ1201 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Nikolaos Stergioulas |
| Common | No |
| Status | Active |
| Course ID | 600021848 |
Programme of Study: PROGRAMMA SPOUDŌN 2022
Registered students: 159
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Compulsory Course | 1 | 1 | 7.5 |
| 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
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600223236
- eLearning: https://elearning.auth.gr/course/view.php?id=5952
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
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 117 | 3.9 | |||
| Tutorial | 78 | 2.6 | |||
| Exams | 5 | 0.2 | |||
| Other / Others | 25 | 0.8 | |||
| Total | 225 | 7.5 |
Student Assessment
Description
Written final exam, plus biweekly sets of exercises that give a maximum +1 grade bonus
plus a mid-term exam (non-obligatory) with weight of 20%
Bibliography
Course Bibliography (Eudoxus)
Απειροστικός Λογισμός, Briggs William, Cochran Lyle, and Gillett Bernard, Εκδόσεις ΚΡΙΤΙΚΗ
Μωυσιάδης, Εκδόσεις: ΧΡΙΣΤΟΔΟΥΛΙΔΗ
Last Update
22-12-2022
