Automotive Engineering (English)  
Bachelor  TRNQFHE: Level 6  QFEHEA: First Cycle  EQFLLL: Level 6 
Course Code:  MATH215  
Course Name:  Mathematics III  
Course Semester:  Spring  
Course Credits: 


Language of instruction:  EN  
Course Requisites: 
MATH113  Mathematics I 

Does the Course Require Work Experience?:  No  
Type of course:  
Course Level: 


Mode of Delivery:  Face to face  
Course Coordinator :  Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR  
Course Lecturer(s): 
Prof. Dr. HASAN ÖZEKES 

Course Assistants: 
Course Objectives:  The aim of this course to understand basic concepts of linear algebra ( systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, GramSchmidt process, least squares, orthogonal diagonalization and singular value decomposition) and solve problems about it. 
Course Content:  This course will investigate systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, GramSchmidt process, least squares, orthogonal diagonalization and singular value decomposition. 
The students who have succeeded in this course;

Week  Subject  Related Preparation 
1)  Syllabus. Systems of linear equations. Elementary row operations. GaussJordan Elimination  Lecture Notes 
2)  Matrix Algebra  Lecture Notes 
3)  Matrix Algebra  Lecture Notes 
4)  Determinants  Lecture Notes 
5)  Determinants  Lecture Notes 
Course Notes / Textbooks:  Linear Algebra and Its Applications, 5th Edition David C. Lay, Stephan R. Lay, Judi J. McDonald Pearson Education Limited 
References:  Lecture notes  Ders notları 
Learning Outcomes  1 
2 
3 
4 
5 


Program Outcomes  
1) Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.  
2) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.  
3) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)  
4) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.  
5) Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or disciplinespecific research topics.  
6) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.  
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.  
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant selfrenewal.  
9) Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications.  
10) Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development.  
11) Information about the universal and social health, environmental and safety effects of engineering applications and the ways in which contemporary problems are reflected in the engineering field; awareness of the legal consequences of engineering solutions.  
12) Knowledge on advanced calculus, including differential equations applicable to automotive engineering; familiarity with statistics and linear algebra; knowledge on chemistry, calculusbased physics, dynamics, structural mechanics, structure and properties of materials, fluid dynamics, heat transfer, manufacturing processes, electronics and control, design of vehicle elements, vehicle dynamics, vehicle power train systems, automotive related regulations and vehicle validation/verification tests; ability to integrate and apply this knowledge to solve multidisciplinary automotive problems; ability to apply theoretical, experimental and simulation methods and, computer aided design techniques in the field of automotive engineering; ability to work in the field of vehicle design and manufacturing. 
No Effect  1 Lowest  2 Low  3 Average  4 High  5 Highest 
Program Outcomes  Level of Contribution  
1)  Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.  4 
2)  The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.  3 
3)  The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)  2 
4)  Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.  
5)  Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or disciplinespecific research topics.  
6)  The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.  
7)  Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.  
8)  Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant selfrenewal.  
9)  Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications.  
10)  Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development.  
11)  Information about the universal and social health, environmental and safety effects of engineering applications and the ways in which contemporary problems are reflected in the engineering field; awareness of the legal consequences of engineering solutions.  
12)  Knowledge on advanced calculus, including differential equations applicable to automotive engineering; familiarity with statistics and linear algebra; knowledge on chemistry, calculusbased physics, dynamics, structural mechanics, structure and properties of materials, fluid dynamics, heat transfer, manufacturing processes, electronics and control, design of vehicle elements, vehicle dynamics, vehicle power train systems, automotive related regulations and vehicle validation/verification tests; ability to integrate and apply this knowledge to solve multidisciplinary automotive problems; ability to apply theoretical, experimental and simulation methods and, computer aided design techniques in the field of automotive engineering; ability to work in the field of vehicle design and manufacturing.  2 
Lesson  
Reading  
Homework  
Problem Solving  
Q&A / Discussion 
Written Exam (Openended questions, multiple choice, truefalse, matching, fill in the blanks, sequencing)  
Homework 
Semester Requirements  Number of Activities  Level of Contribution 
Homework Assignments  5  % 20 
Midterms  2  % 40 
Final  1  % 40 
total  % 100  
PERCENTAGE OF SEMESTER WORK  % 60  
PERCENTAGE OF FINAL WORK  % 40  
total  % 100 
Activities  Number of Activities  Duration (Hours)  Workload 
Course Hours  15  4  60 
Study Hours Out of Class  15  3  45 
Homework Assignments  5  5  25 
Midterms  2  10  20 
Final  1  15  15 
Total Workload  165 