MATHEMATICS
| Title | ΜΑΘΗΜΑΤΙΚΑ / MATHEMATICS |
| Code | Υ34 |
| Faculty | Engineering |
| School | Rural and Surveying Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Nikolaos Atreas |
| Common | No |
| Status | Active |
| Course ID | 20001029 |
| Academic Year | 2024 – 2025 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 6 |
| Class ID | 600268026
|
Course Type 2021
General Foundation
Course Type 2016-2020
- Background
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600268026
Language of Instruction
- Greek (Instruction, Examination)
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 curves/surfaces.
2. Handle exponential and trigonometric functions and their inverses.
3. Calculate derivatives and differentials of functions of a single variable. 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 basic methods of integration and applications of definite integrals (area, volume arc length).
6. Know basic algebra of complex numbers.
7. Calculate double and triple integrals and their applications.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Make decisions
- Advance free, creative and causative thinking
Course Content (Syllabus)
Functions of a single variable: Βasic functions and their inverses, derivative, differential and applications . Power series and Taylor series. Indefinite integral. Μethods of integration and applications of definite integral (area, volume arc length). Generalized integrals.
Elements of Analytic Geometry: Εquations of lines and planes in space, quadratic curves/surfaces.
Algebra of Complex numbers.
Functions of several variables: Partial derivatives and applications in finding extrema. Double integrals, triple integrals and applications.
Keywords
Derivative, integral, extrema
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | ✓ | |||
| Exams | 3 | ||||
| Other / Others | 65 | ||||
| Total | 120 |
Student Assessment
Description
Final exam at the end of semester.
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Aπειροστικός Λογισμός, W. Briggs, Lyle, Bernard
Απειροστικός Λογισμός Hass, Heil, Weir
Απειροστικός Λογισμός Κ. Σεραφειμίδης
Last Update
10-02-2025
