Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
9105095012012Engineering MathematicsCompulsory117
Level of Course Unit
Second Cycle
Objectives of the Course
To understand linear algebra, vectors, differential equations and use them in engineering applications.
Name of Lecturer(s)
Yrd.Doç.Dr. Ömer MERMER Yrd.Doç.Dr. Bahadır TANTAY
Learning Outcomes
1Understanding matrices and vectors and be able to use it in engineering applications
2Understanding integral and differential equations and be able to use it in engineering applications
3To be able to desing mathematical models and ability to integrate this to the engineering applications
4Establish a relationship with mathematicians , and other engineering branches
5
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Doğrusal uzaylar ve operatörler, matris, vektör ve tensör alanları, diferansiyel denklemler, sınır değer problemleri, dönüşüm metotları, konik kesitler, quadrik yüzeyleri. Lineer spaces and operators, matrices, vectors and tensor spaces, differential equations, limit value equations, tranformation methods, conic sections, quadric surfaces
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Linear spaces and operators
2Matrice algebra
3Matrice algebra
4Vector and tensor spaces
5Vector and tensor spaces
6variational mathematic
7variational mathematic
8Midterm
9 Differential equations
10Linear differential equations
11Power series solution of differential equations
12Limit value problems
13Transformation methods
14Conic sections
15Quadric surfaces
16Final exam
Recommended or Required Reading
• Attila Taşkar, “Methods in Applied Algebra and Analysis”, Bogazici University Publications, 1987 • D. W. Jordan, P. Smith, “Mathematical techniques”, Oxford University Press, 2nd Edition, 1997 • Sömestr süresince taranan bilimsel bildiri/makaleler
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination150
Homework150
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities50
End Of Term (or Year) Learning Activities50
SUM100
Language of Instruction
English
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination13030
Final Examination15050
Attending Lectures14342
Individual Study for Homework Problems41248
Reading14456
TOTAL WORKLOAD (hours)226
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
LO1531111
LO2531111
LO3542111
LO4535222
LO5      
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr