MATHEMATICAL ANALYSIS II
| Title | ΜΑΘΗΜΑΤΙΚΗ ΑΝΑΛΥΣΗ ΙΙ / MATHEMATICAL ANALYSIS II |
| Code | NCO-02-01 |
| Faculty | Sciences |
| School | Informatics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Nikolaos Tsitsas |
| Common | No |
| Status | Active |
| Course ID | 40002913 |
Programme of Study: PPS-Tmīma Plīroforikīs (2019-sīmera)
Registered students: 319
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| GENIKĪ KATEUTHYNSĪ | Compulsory Course | 2 | 1 | 5 |
| Academic Year | 2017 – 2018 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600104705
|
Class Schedule
| Building | Φυσικομαθηματική (Δ) |
| Floor | Όροφος 1 |
| Hall | ΑΙΘΟΥΣΑ Δ31 (194) |
| Calendar | Δευτέρα 16:00 έως 18:00 |
| Building | Φυσικομαθηματική (Δ) |
| Floor | Ισόγειο |
| Hall | ΑΙΘΟΥΣΑ Δ21 (189) |
| Calendar | Τρίτη 14:00 έως 16:00 |
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/1/600104705
- At the Website of the School: http://www.csd.auth.gr/course-info.php?id=7
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=6561
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
Basic knowledge of Mathematical Analysis which is required in computer science.
General Competences
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
Course Content (Syllabus)
-- Algebraic and geometric study of the plane and the space. Vectors, equations of lines and planes.
-- Functions of two or three variables. Partial derivatives and applications (gradient, optimization problems, series).
-- Maximum and Minimum Values. Lagrange Multipliers. Applications in computer science (e.g. maximization of Shannon Entropy).
-- Double and line Integrals with applications (simplified introduction).
Keywords
Functions of several variables, vector fields, multiple integrals
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 course has two tests. In order to pass the course the student has to achieve at least 5 in each one of the two tests.
Student Assessment methods
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. "ΕΦΑΡΜΟΣΜΕΝΟΣ ΔΙΑΝΥΣΜΑΤΙΚΟΣ ΑΠΕΙΡΟΣΤΙΚΟΣ ΛΟΓΙΣΜΟΣ" Λ.Ν. ΤΣΙΤΣΑΣ ΕΚΔΟΣΕΙΣ ΣΥΜΜΕΤΡΙΑ 2003 ΑΘΗΝΑ 45391
2. "ΑΝΑΛΥΣΗ ΙΙ: ΣΥΝΑΡΤΗΣΕΙΣ ΠΟΛΛΩΝ ΜΕΤΑΒΛΗΤΩΝ" Ν.ΚΑΔΙΑΝΑΚΗΣ Σ.ΚΑΡΑΝΑΣΙΟΣ, Α.ΦΕΛΛΟΥΡΗΣ Ν.ΚΑΔΙΑΝΑΚΗΣ Σ.ΚΑΡΑΝΑΣΙΟΣ, Α.ΦΕΛΛΟΥΡΗΣ 2009 6779
3. "ΑΠΕΙΡΟΣΤΙΚΟΣ ΛΟΓΙΣΜΟΣ -ΤΟΜΟΣ ΙI" FINNEY R.L.-WEIR M.D.-GIORDANO F.R. ΙΤΕ ΠΑΝΕΠ/ΚΕΣ ΕΚΔΟΣΕΙΣ ΚΡΗΤΗΣ 2009 ΗΡΑΚΛΕΙΟ 184
Last Update
12-10-2020
