Mathematics I
| Title | ΜΑΘΗΜΑΤΙΚΑ Ι / Mathematics I |
| Code | ΓΕ0100 |
| Faculty | Engineering |
| School | Civil Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Common | No |
| Status | Active |
| Course ID | 20000096 |
Programme of Study: PPS TPM - EISAKTEOI APO 2022 KAI EXĪS
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|
| Academic Year | 2020 – 2021 |
| Class Period | Winter |
| Faculty Instructors | |
| Weekly Hours | 6 |
| Class ID | 600170322
|
| Section | Instructors |
|---|---|
| 1. ΓΕ0100 |
Class Schedule
| Building | Polytechnic - wing B (Civil Eng.) |
| Floor | Groundfloor |
| Hall | ΑΙΘΟΥΣΑ 5.41/542 (224) |
| Calendar | Tuesday 11:00 to 13:00 |
| Building | Polytechnic - wing B (Civil Eng.) |
| Floor | Groundfloor |
| Hall | ΑΙΘΟΥΣΑ 5.41/542 (224) |
| Calendar | Monday 11:00 to 13:00 |
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/1/600170322
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
Upon completion of the course the students will be able to differentiate and iintegrate single variable functions, to find maxima and minima, to solve linear systems, compute eigenvectors and eigenvalues, compute the inverse of a matrix and sketch second order surfaces in space.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Work autonomously
- Advance free, creative and causative thinking
Course Content (Syllabus)
CALCULUS:
Functions: hyperbolic and Inverse. Graphs.
Derivatives and Differentials, Applications of derivatives,
indefinite and Definite integrals, Generalized integrals, Applications of integrals.
Series.
LINEAR ALGEBRA:
Matrices Algebra, Determinants, Systems of Linear Equations.
Eigenvalues and Eigenfunctions.
ANALYTIC GEOMETRY:
Conic Sections. Second order surfaces.
Second Order Equation of two and three dimensional space
Keywords
linear algebra, analytic geometry, calculus
Educational Material Types
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 165 | 5.9 | ✓ | ||
| Exams | 3 | 0.1 | |||
| Total | 168 | 6 |
Student Assessment
Description
Written final exam
Student Assessment methods
- Written Exam with Problem Solving (Formative)
Bibliography
Course Bibliography (Eudoxus)
1) Εισαγωγή στην Γραμμική Άλβγερα και την Αναλυτική Γεωμετρία, 2 Έκδοση
Θ Ιωαννίδου, Τζίολας
Κωδικός Εύδοξος 18548972
ISBN 978-960-418-718-8
2) Διαφορικός & Ολοκληρωτικός Λογισμός,
Spivak Michael
Πανεπιστημιακές εκδόσης Κρήτης
ISBN 978-960-7309-13-6
Last Update
30-05-2018
