Calculus I
| Title | ΛΟΓΙΣΜΟΣ Ι / Calculus I |
| Code | ΜΑ0101 |
| Faculty | Engineering |
| School | Electrical and Computer Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Athanasios Kechagias |
| Common | No |
| Status | Active |
| Course ID | 20000612 |
| Academic Year | 2025 – 2026 |
| Class Period | Winter |
| Faculty Instructors |
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| Instructors from Other Categories |
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| Class ID | 600289051
|
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/1/600289051
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=3801
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
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.
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.
2. To compute volumes, areas and lengths.
3. To compute limits of sequences.
4. To solve difference equations.
5. To compute Taylor series expansions of various functions.
6. To solve 1st order linear differential equations.
General Competences
- Apply knowledge in practice
- Work autonomously
- Advance free, creative and causative thinking
Course Content (Syllabus)
Calculus of single variable real functions: complex numbers, functions, imit and continuity, derivative, logarithmic and exponential functions, trigonometric and hyperbolic functions, Euler formula, integral, methods of integration, area, volume and length, parametric functions, polar coordinates, sequences, recursions, numerical series, power series, Taylor and MacLaurin series, differential equations of first order.
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
Description
projector PC
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 100 | ||||
| Exams | 3 | ||||
| Moodle exercises | 47 | ||||
| Total | 150 |
Student Assessment
Student Assessment methods
- Written Assignment (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [2574]: Γενικά Μαθηματικά (Schaum's Outline of Theory and Problems of Differential and Integral Calculus) Frank Ayres
Last Update
20-11-2020
