Calculus I
| Title | Λογισμός Ι / Calculus I |
| Code | 001 |
| Faculty | Engineering |
| School | Electrical and Computer Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Athanasios Kechagias |
| Common | No |
| Status | Active |
| Course ID | 600000948 |
Programme of Study: Electrical and Computer Engineering
Registered students: 299
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| CORE | Compulsory Course | 1 | 1 | 6 |
| Academic Year | 2016 – 2017 |
| Class Period | Winter |
| Faculty Instructors | |
| Instructors from Other Categories | |
| Class ID | 600014056
|
Class Schedule
| Building | Πολυτεχνείο (πτέρυγα Γ) |
| Floor | Όροφος 1 |
| Hall | Α3 (2) |
| Calendar | Τετάρτη 08:00 έως 11:00 |
| Building | Πολυτεχνείο (πτέρυγα Γ) |
| Floor | Όροφος 1 |
| Hall | Α1 (8) |
| Calendar | Τετάρτη 09:00 έως 11:00 |
| Building | Πολυτεχνείο (πτέρυγα Γ) |
| Floor | Όροφος 1 |
| Hall | Α1 (8) |
| Calendar | Τρίτη 08:00 έως 11:00 |
| Building | Πολυτεχνείο (πτέρυγα Γ) |
| Floor | Όροφος 1 |
| Hall | Α3 (2) |
| Calendar | Τρίτη 09:00 έως 11:00 |
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/1/600014056
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=3801
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
1. Comprehension and use of the concepts of limit, derivative, integral.
2. Comprehension of the infinitesimal approach: subdividing a process to infinitesimally small and easily manageable sub-processes.
3. Solution methods for 1st order ordinary differential equations..
4. Applying the above concepts to modeling and solution of engineering problems.
General Competences
- Apply knowledge in practice
- Work autonomously
- Work in teams
- Advance free, creative and causative thinking
Course Content (Syllabus)
Functions of one variable. Exponential and logarithmic function. Trigonometric and hyperbolic functions and their inverses. Limits and continuity of functions of one variable. Derivative and its applications. Polar coordinates and parametric functions. Implicit differentiation and differentiation of parametric functions. Sequences and series of real numbers. Power series and Taylor series. Indefinite and definite integrals. Integration methods. Generalized integrals. Applications of the definitie integral. Ordinary differential equations of the 1st order: definitions, solution methods and application to engineering problems.
Educational Material Types
- Notes
- Multimedia
- Interactive excersises
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
- Use of ICT in Student Assessment
Description
projector PC
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 144 | 4.8 | |||
| Exams | 36 | 1.2 | |||
| Total | 180 | 6 |
Student Assessment
Description
Written final exam, 150 minutes duration. Additional homeworks with voluntary submission.
Student Assessment methods
- Written Assignment (Formative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. Φ.Ι. Ξένου, Λογισμός Ι.
2. F. Ayres, Γενικά Μαθηματικά.
3. R.L. Finney, F.R. Giordano, M.D. Weir, Απειροστικός Λογισμός (Ενιαίος τόμος για
Λογισμό Ι και ΙΙ)
Last Update
11-12-2015
