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: 516
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| GENIKĪ KATEUTHYNSĪ | Compulsory Course | 2 | 1 | 5 |
| Academic Year | 2020 – 2021 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600180142
|
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/1/600180142
- 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
Cognitive: the cognitive goals of the course are the students to obtain new knowledge and get acquainted with new principles of Mathematical Analysis of functions of several real variables which are utilized in all branches of Computer Science.
Skills: students understand in depth basic notions of Mathematical Analysis of functions of several real variables 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)
-- 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 evaluation is based on the final written exam taken by the students.
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. "ΔΙΑΝΥΣΜΑΤΙΚΟΣ ΛΟΓΙΣΜΟΣ" MARSDEN J., TROMBA A., 2010, ΠΑΝΕΠΙΣΤΗΜΙΑΚΕΣ ΕΚΔΟΣΕΙΣ ΚΡΗΤΗΣ
Last Update
11-10-2020
