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 
Language of Instruction 
English 
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 corequisities 
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 

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  
Midterm Examination  1  50  Homework  1  50  SUM  100  
Final Sınavı  1  100  SUM  100  Term (or Year) Learning Activities  50  End Of Term (or Year) Learning Activities  50  SUM  100 
 Work Placement(s)  None 

Workload Calculation 