Calculus I

Course Information
TitleΛογισμός Ι / Calculus I
SchoolElectrical and Computer Engineering
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CoordinatorAthanasios Kechagias
Course ID600000948

Programme of Study: Electrical and Computer Engineering

Registered students: 385
OrientationAttendance TypeSemesterYearECTS
CORECompulsory Course116

Class Information
Academic Year2018 – 2019
Class PeriodWinter
Faculty Instructors
Class ID
Course Type 2016-2020
  • Background
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
Language of Instruction
  • Greek (Instruction, Examination)
Learning Outcomes
1. Comprehension and use of the concepts of limit, derivative, integral. 2. Comprehension of the infinitesimal approach: subdividing a process to infinitesimally small and easily manageable sub-processes. 3. Solution methods for 1st order ordinary differential equations.. 4. Applying the above concepts to modeling and solution of engineering problems.
General Competences
  • Apply knowledge in practice
  • Advance free, creative and causative thinking
Course Content (Syllabus)
Functions of one variable. Exponential and logarithmic function. Trigonometric and hyperbolic functions and their inverses. Limits and continuity of functions of one variable. Derivative and its applications. Polar coordinates and parametric functions. Implicit differentiation and differentiation of parametric functions. Sequences and series of real numbers. Power series and Taylor series. Indefinite and definite integrals. Integration methods. Generalized integrals. Applications of the definitie integral. Ordinary differential equations of the 1st order: definitions, solution methods and application to engineering problems.
Educational Material Types
  • Notes
  • Book
Use of Information and Communication Technologies
projector PC
Course Organization
Reading Assigment722.4
Student Assessment
Written final exam, 150 minutes duration.
Student Assessment methods
  • Written Assignment (Formative)
  • Written Exam with Problem Solving (Formative, Summative)
Course Bibliography (Eudoxus)
1. F. Ayres, Γενικά Μαθηματικά. 2. Ρόθος Β, Σφυράκης Χ. Απειροστικός Λογισμός.
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