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 |
Programme of Study: PPS Tmīmatos Agronómōn kai Topográfōn Mīchanikṓn (2025-sīmera)
Registered students: 32
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core Courses | Compulsory Courses | 1 | 1 | 4 |
| Academic Year | 2021 – 2022 |
| Class Period | Spring |
| Faculty Instructors | |
| Weekly Hours | 6 |
| Class ID | 600198639
|
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/1/600198639
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
None
Learning Outcomes
Upon succesful completion of the course the students will be able to do the following.
1. Compute limits, derivatives and integrals of basic functions of one or more variables, in Cartesian, polar or parametric coordinates.
2. To compute volumes, areas and arc lengths of basic functions of one or more variables.
3. To expand funcitons in Taylor series.
4. To know the equations in three-dimensional space of the striaght line, plane and quadratic surfaces.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Work autonomously
Course Content (Syllabus)
Single variable functions: basic functions, parametric curves, polar coordinates, sequences and series, Taylor series.
Multivariable functions: limits and continuity, differentiation, chain and implicit differentiation, coordinate systems, Taylor Series, Maxima and minima, double and triple integrals, curves and vector functions, line integrals, Scalar and vector fields, parametric surfaces
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 65 | ✓ | |||
| Total | 65 |
Student Assessment
Description
Three exams during the semester or a final exam.
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Φ.Ι. Ξένος, Λογισμός ΙΙ
Additional bibliography for study
F. Ayres, Ανώτερα Μαθηματικά
Last Update
20-11-2020
