Mathematics III
| Title | ΜΑΘΗΜΑΤΙΚΑ ΙΙΙ / Mathematics III |
| Code | ΓΕ0800 |
| Faculty | Engineering |
| School | Civil Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Common | No |
| Status | Active |
| Course ID | 20000103 |
Programme of Study: PPS TPM (EISACΗTHENTES EŌS KAI 2021)
Registered students: 53
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core program for all students | Compulsory Course | 3 | 2 | 4 |
| Academic Year | 2025 – 2026 |
| Class Period | Winter |
| Faculty Instructors | |
| Class ID | 600284578
|
Course Type 2021
General Foundation
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
Language of Instruction
- Greek (Instruction, Examination)
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Make decisions
- Work autonomously
- Work in teams
- Work in an international context
- Work in an interdisciplinary team
- Generate new research ideas
Course Content (Syllabus)
Differential Equations of First Order (Linear First Order Differential Equations, Bernoulli Differential Equation, Riccati Differential Equation, Exact Differential Equations, Non-Exact Differential Equation), Linear Differential Equations of Second and Higher Order (Constant Coefficients, Wronskian Determinant, Homogeneous with Non-Constant Coefficients, Euler Differential Equation, Non-Homogeneous with Non-Constant Coefficients), Solution of Differential Equations with Power Series (Power Series Method, Frobenius Method), Linear Systems of Differential Equations (Solution of Homogeneous Linear Systems of Differential Equations, Fundamental Matrix and Matrix Exponential, Solution of Non-Homogeneous Linear Systems of Differential Equations), Stability Analysis of Differential Equation Systems (Stability of Linear Systems of Differential Equations, Stability of Non-Linear Systems of Differential Equations), Laplace Transform (Laplace Transform Tables, Rational Function, Solution of Differential Equations with Laplace Transform), Applications of Differential Equations in Civil Engineering (Strength of Materials, Structural Dynamics, Electricity Markets and Energy Models for Civil Engineers)
Keywords
Differential Equations, First Order, Bernoulli, Riccati, Exact, Non-Exact, Second Order, Higher Order, Wronskian, Euler, Power Series, Frobenius, Linear Systems, Fundamental Matrix, Matrix Exponential, Stability, Nonlinear Systems, Laplace Transform, Applications, Strength of Materials, Structural Dynamics, Energy Models.
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 165 | 5.9 | |||
| Seminars | |||||
| Written assigments | |||||
| Exams | 3 | 0.1 | |||
| Total | 168 | 6 |
Student Assessment
Description
Written final exam
Student Assessment methods
- Written Assignment (Formative)
- Written Exam with Problem Solving (Formative)
Bibliography
Course Bibliography (Eudoxus)
1) Διαφορικές Εξισώσεις: Από την Θεωρία στην Πράξη
Ι Δάσιος, Επίκεντρο
Κωδικός Εύδοξος 143559549
ISBN 9786182046029
2) Μαθηματικά και Θεωρία Γραφημάτων για Μηχανικούς, 2η Έκδοση
Δ Αλεξίου, Τζίολας
Κωδικός Εύδοξος 112690339
ISBN 9789604189601
Additional bibliography for study
Σημειώσεις Συλλογή Ασκήσεων και Προβλημάτων
Last Update
20-10-2025
