MATHEMATICAL ANALYSIS I
| Title | ΜΑΘΗΜΑΤΙΚΗ ΑΝΑΛΥΣΗ Ι / MATHEMATICAL ANALYSIS I |
| Code | NCO-01-01 |
| Faculty | Sciences |
| School | Informatics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Nikolaos Tsitsas |
| Common | No |
| Status | Active |
| Course ID | 40002908 |
Programme of Study: PPS-Tmīma Plīroforikīs (2019-sīmera)
Registered students: 472
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| GENIKĪ KATEUTHYNSĪ | Compulsory Course | 1 | 1 | 5 |
| Academic Year | 2020 – 2021 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600176676
|
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/1/600176676
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=6560
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
Cognitive: the cognitive goals of the course are the students to organize the fundamental knowledge of elementary Mathematics and to obtain new knowledge and get acquainted with new principles of Mathematical Analysis which are utilized in all branches of Computer Science.
Skills: students understand in depth basic notions of Mathematics which are necessary in many procedures, implementations and applications of computational and communications systems.
General Competences
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
Course Content (Syllabus)
-- real functions of one real variable, limits, derivatives and applications (optimization problems, linear approximation, error bounds, applications to complexity)
-- integrals (definite and indefinite), trigonometric integrals and integrals of rational functions
-- Taylor series with applications to approximations
Keywords
Sequences, series, functions of one real variable, derivative, integral
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | ✓ | |||
| Reading Assigment | 65 | ✓ | |||
| Exams | 3 | ✓ | |||
| Literature Study | 30 | ✓ | |||
| Total | 150 |
Student Assessment
Description
The evaluation is based on the final exam given by the students.
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. Εφαρμοσμένος Απειροστικός Λογισμός, Τσίτσας Λ., 978-960-266-152-9, Εκδόσεις Συμμετρία, 2003, 2η έκδοση, 45390.
2. Διαφορικός και Ολοκληρωτικός Λογισμός, M. Spivak, (2η αναθεωρημένη και επαυξημένη έκδοση) Π.Ε.Κ. 2011
Last Update
10-04-2022
