# Calculus III

 Title ΛΟΓΙΣΜΟΣ ΙΙΙ / Calculus III Code 0203Α Faculty Sciences School Mathematics Cycle / Level 1st / Undergraduate Teaching Period Winter/Spring Common No Status Active Course ID 600019630

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

Registered students: 6
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory CourseWinter/Spring-6

 Academic Year 2020 – 2021 Class Period Spring Faculty Instructors Class ID 600185443
SectionInstructors
1. ΤΜΗΜΑ ΑRomanos diogenis Malikiosis
2. ΤΜΗΜΑ ΒPetros Galanopoulos
Course Type 2016-2020
• 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
22-07-2020