Course Information
TitleΛΟΓΙΣΜΟΣ ΙΙΙ / Calculus III
Code0203
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CommonNo
StatusActive
Course ID40000491

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 536
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course327

Class Information
Academic Year2019 – 2020
Class PeriodWinter
Faculty Instructors
Weekly Hours4
Class ID
600147636
SectionInstructors
1. ΤΜΗΜΑ ΑPetros Galanopoulos
2. ΤΜΗΜΑ ΒAnestis Fotiadis
Type of the Course
  • General Knowledge
  • Scientific Area
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
Prerequisites
Required Courses
  • 0202 Calculus II
  • 0108 Linear Algebra
General Competences
  • Apply knowledge in practice
  • Make decisions
  • Be critical and self-critical
  • Advance free, creative and causative thinking
Course Content (Syllabus)
Functions of several variables - Limits and continuity - Partial derivatives - Differentiation of scalar and vector functions - The chain rule - Higher order partial derivatives - Directional derivatives - Taylor’s formula - Extremes of real valued functions - Lagrange multipliers - The implicit function theorem and the inverse function theorem.
Keywords
functions of several variables, partial derivatives, Taylor's formula, Lagrange multipliers.
Educational Material Types
  • Notes
  • Book
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures521.7
Reading Assigment1254.2
Exams30.1
Total1806
Student Assessment
Student Assessment methods
  • Written Exam with Short Answer Questions (Summative)
  • Written Exam with Extended Answer Questions (Summative)
  • Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
- Μαθήματα Διαφορικού Λογισμού πολλών μεταβλητών, Ν. Δανίκας, Μ. Μαριάς, Ζήτη, 2003. - Διανυσματικός Λογισμός, J. Marsden, A. Tromba, Παν/κές Εκδόσεις Κρήτης, 2010.
Last Update
15-03-2020