Title  ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ ΙΙ / Mathematics II 
Code  ΜΑΥ203 
Faculty  Sciences 
School  Physics 
Cycle / Level  1st / Undergraduate 
Teaching Period  Spring 
Coordinator  Christos Tsagkas 
Common  No 
Status  Active 
Course ID  40002846 
Programme of Study: UPS of School of Physics (2012today)
Registered students: 524
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Compulsory Course  2  1  5 
Academic Year  2019 – 2020 
Class Period  Spring 
Faculty Instructors 

Instructors from Other Categories 

Weekly Hours  4 
Class ID  600159879

Type of the Course
 Background
Course Category
General Foundation
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600159879
Language of Instruction
 Greek (Instruction, Examination)
Learning Outcomes
After the completion of the course the students have acquired the basic principles of differential calculus of multivariable functions as well as those of vector functions. They have also developed the ability to solve simple and more complex problems on the specific area of mathematics
General Competences
 Apply knowledge in practice
 Work autonomously
 Work in teams
 Generate new research ideas
Course Content (Syllabus)
Basic topological concepts in ndimensional space  Differential calculus of real functions of several variables with real arguments (geometrical picture of a function of several variables, limits, continuity, partial derivatives, differentiability, total differentials)  Composite function of several variables (Chain rule, Eulers theorem, the mean value theorem, Taylor's theorem)  Implicit function of several variables (Jacobians, transformations)  Calculus of real function with vector variables and vector functions of vector variables (divergence and curl of a vector function)  Geometrical application of differential calculus of several variables  Extreme values of a function of several variables and extreme values under constrains
Educational Material Types
 Book
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  117  3.9  
Tutorial  39  1.3  
Exams  3  0.1  
Problem solving  21  0.7  
Total  180  6 
Student Assessment
Student Assessment methods
 Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
Διαφορικός Λογισμός Πολλών Μεταβλητών, Λ. Βλάχος, Εκδόσεις: ΤΖΙΟΛΑ
Εισαγωγή στο Διαφορικό Λογισμό Συναρτήσεων Πολλών Μεταβλητών, Ν. Καρανικόλας, Εκδόσεις: ΖΗΤΗ
Additional bibliography for study
J. Stewart : Calculus, 2rd ed., Books/Cole Publ. Co., 1991.
Last Update
28062016