Mathematics (Differential and Integral Calculus)
| Title | Μαθηματικά (Ολοκληρωτικός και Διαφορικός λογισμός) / Mathematics (Differential and Integral Calculus) |
| Code | 01YG005 |
| Faculty | Engineering |
| School | Rural and Surveying Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Coordinator | Nikolaos Atreas |
| Common | No |
| Status | Active |
| Course ID | 600025714 |
Programme of Study: PPS Tmīmatos Agronómōn kai Topográfōn Mīchanikṓn (2025-sīmera)
Registered students: 89
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core Courses | Core Courses | 1 | 1 | 4 |
| Academic Year | 2025 – 2026 |
| Class Period | Winter |
| Faculty Instructors | |
| Weekly Hours | 4 |
| Class ID | 600267758
|
Course Type 2021
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600267758
- eLearning (Moodle):
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Non-applicable
Learning Outcomes
Upon successful completion of the course the students will be able to do the following:
1. Handle exponential, cyclic, hyperbolic functions and their inverses.
3. Calculate derivatives and differentials and perform calculations with derivatives or differentials.
4. Know the basic theory of sequences and series and use them to handle power series and expansions of functions into Taylor polynomials and Taylor series.
4. Calculate indefinite, definite or generalized integrals and applications of definite integrals.
5. Calculate partial derivatives of functions of several variables and local extrema.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Make decisions
- Work autonomously
- Be critical and self-critical
- Advance free, creative and causative thinking
Course Content (Syllabus)
Functions of a single variable: exponential, cyclic, hyperbolic functions and their inverses. Derivatives, differentials and calculations with derivatives or differentials. Basic theory of sequences and series. Power series and Taylor polynomials and Taylor series. Indefinite, definite, or generalized integrals and applications. Functions of several variables: Partial derivatives and applications in finding local extrema.
Keywords
Differential, 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
Written examination at the end of the semester
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Aπειροστικός Λογισμός, W. Briggs, Lyle Cohran, Bernard Gillette
Απειροστικός Λογισμός Hass, Heil Christofer, Weir Maurice D.
Last Update
12-12-2024
