# CALCULUS I (MATHEMATICS I)

 Title ΛΟΓΙΣΜΟΣ Ι (ΜΑΘΗΜΑΤΙΚΑ Ι) / CALCULUS I (MATHEMATICS I) Code 101 Faculty Engineering School Mechanical Engineering Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Vasileios Rothos Common Yes Status Active Course ID 20000473

### Programme of Study: UPS of School of Mechanical Engineering

Registered students: 314
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course114

 Academic Year 2018 – 2019 Class Period Winter Faculty Instructors Vasileios Rothos 3hrs Instructors from Other Categories Weekly Hours 3 Class ID 600130756

### Class Schedule

 Building Πολυτεχνείο - πτέρυγα Β (Πολιτικών Μηχ.) Floor Όροφος 1 Hall 557-558 (85) Calendar Τετάρτη 15:00 έως 18:00
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Language of Instruction
• Greek (Instruction, Examination)
Learning Outcomes
basic background
General Competences
• Apply knowledge in practice
• Work autonomously
• Work in teams
Course Content (Syllabus)
Introduction to Trigonometry. Calculus of functions with one variable. Implicit differentiation. Inverse functions, inverse trigonometric functions and hyperbolic functions. The definition of indefinite integral and properties of indefinite integrals. Integration techniques. Application of integrals. Improper integrals. Parametric equations and polar coordinates. Sequences and Power Series. Taylor Series and Fourier Series. Applications
Keywords
functions, limits, derivatives, integration, power series
Educational Material Types
• Notes
• 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
Description
projector PC
Course Organization
Lectures722.4
Tutorial200.7
Interactive Teaching in Information Center200.7
Written assigments50.2
Exams30.1
Total1204
Student Assessment
Description
Final exam 3hrs
Student Assessment methods
• Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [12638355]: ΛΟΓΙΣΜΟΣ ΜΙΑΣ ΜΕΤΑΒΛΗΤΗΣ (Θεωρία-Εφαρμογές σε Maple)., Βασίλειος Ρόθος και Χρυσοβαλάντης Σφυράκης Βιβλίο [25]: ΑΠΕΙΡΟΣΤΙΚΟΣ ΛΟΓΙΣΜΟΣ ΤΟΜΟΣ Ι, FINNEY R.L., WEIR M.D., GIORDANO F.R
Last Update
07-09-2017