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SCHOOL |
POLYTECHNICAL |
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DEPARTMENT |
PRODUCTS AND SYSTEMS DESIGN ENGINEERING |
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LEVEL OF STUDIES |
Undergraduate |
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COURSE CODE |
1001 |
SEMESTER |
1 | ||
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COURSE TITLE |
MATHEMATICS I | ||||
| INDEPENDENT TEACHING ACTIVITIES |
WEEKLY TEACHING HOURS |
CREDITS | |||
| Lectures | 3 | ||||
| Laboratory / Lab. Exercises | 0 | ||||
| Practical Exercises | 0 | ||||
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TOTAL HOURS |
3 | 6 | |||
| COURSE TYPE | General Background | ||||
| PREREQUISITE COURSES | Secondary Education Mathematics | ||||
| LANGUAGE OF INSTRUCTION and EXAMINATIONS | GREEK/ENGLISH | ||||
| COURSE DELIVERED TO ERASMUS STUDENTS | YES | ||||
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MODULE WEB PAGE (URL) (URL) |
https://
https://eclass.uowm.gr/
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2. LEARNING OUTCOMES
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Learning Outcomes |
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The purpose of this course is to introduce the student to the notions and techniques of Linear Algebra and Differential/ Integral Calculus. The student learns to handle problems concerning matrices, determinants, linear systems, derivatives and integrals of real functions of a single real variable. Various problems related to the above subjects are examined. On successful completion of this module the learner will be able to: 1. To understand and handle the notions of matrix and determinant. 2. To solve linear systems. 3. To investigate problems of Calculus coming from various applications. |
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General
Skills |
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Upon successful completion of the program students will: • The possibility to apply the previous techniques in order to solve problems arising from other sciences. |
3. COURSE CONTENTS
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• Matrices Basic operations on matrices(sum, scalar product, matrix product and its properties, inversion of a matrix, characteristic polynomial and characteristic values). • Determinants The notion of determinant, calculation of determinants, properties of determinants and applications. • Linear Systems • Derivative of a real function of a single real variable, tangent equation at a point of a curve, applications. • Integral of a real function of a single real variable (integration methods, definite integral and applications). |
4. TEACHING METHODS - ASSESSMENT
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MODE OF DELIVERY |
1. THEORY In class, face to face 2. Remote teaching |
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USE OF INFORMATION AND COMMUNICATIONS TECHNOLOGY |
• Support of teaching process via the electronic platform e-class | ||||||||||||||||||||||||
| TEACHING METHODS |
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ASSESSMENT METHODS |
1. THEORY: i. Two written examinations during the semester. ii. Final written examination at the end of the semester. |
5. ATTACHED
| -Suggested bibliography : |
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• A.Petrakis D.Petraki, L.Petraki. Mathematics I. Editions Thales. • S. Bozapalidis. Introduction to Linear Algebra, Thessaloniki 2010. • Spiegel M.R., Advanced Mathematics, SCHAUM’S OUTLINE SERIES, MacGraw-Hill, New York. |
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-Related academic journals: |