Mathematics I
| Title | ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ Ι / Mathematics I |
| Code | ΜΑΥ201 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Pantelis Papadopoulos |
| Common | No |
| Status | Active |
| Course ID | 40002841 |
| Academic Year | 2020 – 2021 |
| Class Period | Winter |
| Faculty Instructors |
|
| Instructors from Other Categories |
|
| Weekly Hours | 4 |
| Class ID | 600178196
|
Course Type 2016-2020
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600178196
- At the Website of the School: http://www.physics.auth.gr/courses/14
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=7776
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
After successfully completing the course the students will be able to:
- completely characterise real functions with one real variable (maxima, minima, asymptotes, intervals of
increasing, decreasing function values)
- compute limits of functions using theorems for limits and limits of indefinable forms
- compute derivatives of complex functions, do implicit differentiation of algebraic forms and of
functions expressed in parametric form
- solve problems that require applications of differentiation/extrema-finding in practical problems
- expand functions in Taylor series and use them to conduct approximations
- compute indefinite and definite integrals using theorems of integrations
- compute improper integrals using theorems for integrations and for computing limits of functions
- use integrals for solving practical problems (e.g. volumes of solids or rotation)
General Competences
- Apply knowledge in practice
- Work autonomously
- Advance free, creative and causative thinking
Course Content (Syllabus)
Differential Calculus - Functions of one variable (Real Functions of a real variable, the derivative and the differential of the function, applications of a derivative, study of the real functions using derivatives) - Integral Calculus - Functions of one variable (Indefinite integrals, the definite integral, improper integrals, approximate methods, applications of integrals).
Educational Material Types
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
- Use of ICT in Student Assessment
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)
Απειροστικός Λογισμός, R.L. Finney, M.D. Weir, F.R. Giordano, Εκδόσεις: ΙΤΕ/ΠΑΝ. ΕΚΔ. ΚΡΗΤΗΣ
Ανώτερα Μαθηματικά, Χ. Μωυσιάδης, Εκδόσεις: ΧΡΙΣΤΟΔΟΥΛΙΔΗ
Last Update
10-11-2020
