Mathematics II
| Title | ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / Mathematics II |
| Code | ΜΑΥ203 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Christos Tsagkas |
| Common | No |
| Status | Active |
| Course ID | 40002846 |
| Academic Year | 2020 – 2021 |
| Class Period | Spring |
| Faculty Instructors |
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| Instructors from Other Categories |
|
| Weekly Hours | 4 |
| Class ID | 600178539
|
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/1/600178539
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
After the completion of the course the students have acquired the basic principles of differential calculus of multivariable functions as well as those of vector functions. They have also developed the ability to solve simple and more complex problems on the specific area of mathematics
General Competences
- Apply knowledge in practice
- Work autonomously
- Work in teams
- Generate new research ideas
Course Content (Syllabus)
Basic topological concepts in n-dimensional space - Differential calculus of real functions of several variables with real arguments (geometrical picture of a function of several variables, limits, continuity, partial derivatives, differentiability, total differentials) - Composite function of several variables (Chain rule, Eulers theorem, the mean value theorem, Taylor's theorem) - Implicit function of several variables (Jacobians, transformations) - Calculus of real function with vector variables and vector functions of vector variables (divergence and curl of a vector function) - Geometrical application of differential calculus of several variables - Extreme values of a function of several variables and extreme values under constrains
Educational Material Types
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 117 | ||||
| Tutorial | 39 | ||||
| Exams | 3 | ||||
| Problem solving | 21 | ||||
| Total | 180 |
Student Assessment
Student Assessment methods
- Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Διαφορικός Λογισμός Πολλών Μεταβλητών, Λ. Βλάχος, Εκδόσεις: ΤΖΙΟΛΑ
Εισαγωγή στο Διαφορικό Λογισμό Συναρτήσεων Πολλών Μεταβλητών, Ν. Καρανικόλας, Εκδόσεις: ΖΗΤΗ
Additional bibliography for study
J. Stewart : Calculus, 2rd ed., Books/Cole Publ. Co., 1991.
Last Update
28-06-2016
