          Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits 9105095012012 Engineering Mathematics Compulsory 1 1 7
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
 1 Understanding matrices and vectors and be able to use it in engineering applications 2 Understanding integral and differential equations and be able to use it in engineering applications 3 To be able to desing mathematical models and ability to integrate this to the engineering applications 4 Establish 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
 Week Theoretical Practice Laboratory 1 Linear spaces and operators 2 Matrice algebra 3 Matrice algebra 4 Vector and tensor spaces 5 Vector and tensor spaces 6 variational mathematic 7 variational mathematic 8 Midterm 9 Differential equations 10 Linear differential equations 11 Power series solution of differential equations 12 Limit value problems 13 Transformation methods 14 Conic sections 15 Quadric surfaces 16 Final 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 Activities Quantity Weight Midterm Examination 1 50 Homework 1 50 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight Final Examination 1 100 SUM 100 Term (or Year) Learning Activities 50 End Of Term (or Year) Learning Activities 50 SUM 100
Language of Instruction
English
Work Placement(s)
None 