ELECTIVE MODULE: MATHEMATICS
| Title | ΕΠΙΛΟΓΕΣ: ΜΑΘΗΜΑΤΙΚΑ / ELECTIVE MODULE: MATHEMATICS |
| Code | 08TT10 |
| Faculty | Engineering |
| School | Architecture |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Common | No |
| Status | Active |
| Course ID | 20002611 |
Programme of Study: PROGRAMMA SPOUDŌN 2020-21 EŌS SĪMERA
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Elective Courses | 8 | 4 | 3 |
| Academic Year | 2024 – 2025 |
| Class Period | Spring |
| Weekly Hours | 3 |
| Class ID | 600258425
|
Course Type 2021
General Knowledge
Course Type 2016-2020
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600258425
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 01PP40 GREEK LANGUAGE (ERASMUS)
Learning Outcomes
Upon successful completion of the course the students will be able to do the following:
1. Know basic tools of analytic geometry, such as equations of lines, planes and quadratic surfaces in space
2. Handle exponential, trigonometric and hyperbolic functions and their inverses.
3. Calculate limits and derivatives of functions of a single variable in cartesian, parametric or polar coordinates, and applications of the derivative in finding extrema. Calculate partial derivatives of functions of several variables and applications in finding extrema.
4. Handle Power series and expansions of functions into Taylor series.
5. Know methods of integration and applications of definite integrals (area, volume etc).
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Make decisions
- Be critical and self-critical
- Advance free, creative and causative thinking
Course Content (Syllabus)
Basic functions of a single variable and their inverses. Limit, continuity, derivative of functions in cartesian, parametric and polar coordinates and applications in finding extrema. Power series and Taylor series. Ιndefinite integral. Μethods of integration and applications of definite integrals (area, volume arc length). Generalized integrals.
Elements of Αnalytic geometry: lines, planes quadratic curves/surfaces.
Functions of several variables: Partial derivatives and applications in finding extrema.
Keywords
unctions, limits, derivatives, integration, power series, analytic geometry
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | ||||
| Exams | 3 | ||||
| Other / Others | 48 | ||||
| Total | 90 |
Student Assessment
Description
Written examination at the end of the semester.
Student Assessment methods
- Written Assignment (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Aπειροστικός Λογισμός, (Briggs, Lyle, Bernard)
Aπειροστικός Λογισμός, (Hass, Heil, Weir)
Aπειροστικός Λογισμός, Κ. Σεραφειμίδης
Last Update
15-12-2023
