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Course Details

Course Department: Department of Mathematics and Statistics
Course Code: MAS 026
Course Title: Engineering Mathematics ΙΙ
Number of ECTS: 5
Level of Course: 1st Cycle (Bachelor's Degree) 
Year of Study (if applicable):
Semester/Trimester when the Course Unit is Delivered: Spring Semester 
Name of Lecturer(s):
George Petrides
Christodoulos Mitillos
Charalambos Evripidou
 
Lectures/Week: 2 (2 hours per lecture) 
Laboratories/week: -- 
Tutorials/Week: -- 
Course Purpose and Objectives: Introduction to functions of many variables and the basic notions and techniques of Vector Calculus. The course is designed for students in Engineering.  
Learning Outcomes: The students get familiar with functions with two or more variables, partial derivatives, multiple, line, and surface integrals, and the basic integral theorems of Vector Calculus.  
Prerequisites: Not Applicable 
Co-requisites: Mathematics for Engineers I 
Course Content:  Functions of many variables. Partial derivatives. Gradient, divergence, and curl. Curves. Double and triple integrals. Change of variables. Jacobians. Polar, cylindrical, and spherical coordinates. Line and surface integrals. Green, Stokes, and Gauss theorems. Applications.  
Teaching Methodology: Lectures and tutorials 
Bibliography: J. Marsden και A. Tromba, Διανυσματικός Λογισμός (Μετάφραση Α. Γιαννόπουλος), Πανεπιστημιακές Εκδόσεις Κρήτης, Ηράκλειο, 1992
H. Anton, I. Bivens, S. Davis, Calculus (10th edi.), John Wiley & Sons, Singapore, 2013.
 
Assessment: Mid Exam (30%), Final Exam (40%-70%), Optional Participation (0-10%), 4 Optional Quizes (0-20%) 
Language of Instruction: Greek
Delivery Mode: Face-To-Face 
Work Placement(s): Not Applicable