Computer Engineering (English)  
Bachelor  TRNQFHE: Level 6  QFEHEA: First Cycle  EQFLLL: Level 6 
Course Code:  MATH216  
Ders İsmi:  Mathematics IV  
Ders Yarıyılı:  Fall  
Ders Kredileri: 


Language of instruction:  EN  
Ders Koşulu: 
MATH112  CalculusII  MATH114  Mathematics II  MATH152@MÜ  CALCULUS II 

Ders İş Deneyimini Gerektiriyor mu?:  No  
Type of course:  Compulsory  
Course Level: 


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

Course Assistants: 
Course Objectives:  The aim of this course is to gain basic knowledge and abilities about classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods to the students. 
Course Content:  This course will investigate classification of differential equations, first order differential equations: solution of separable, linear and exact differential equations, substitution methods and order reduction, higher order differential equations: linear, homogeneous equations with constant coefficients, nonhomogeneous equations, method of undetermined coefficients, method of variation of parameters, Laplace transform solution of initial value problems, linear systems of differential equations: homogeneous differential equations in R2, homogeneous differential equations in R3, matrix exponential and fundamental matrix solution, solution of systems of nonhomogeneous equations, Laplace transform methods 
The students who have succeeded in this course;

Week  Subject  Related Preparation 
1)  Some Basic Mathematical Models; Direction Fields Classification of Differential Equations  Lecture Notes 
2)  First Order Differential Equations  Lecture Notes 
3)  First Order Differential Equations  Lecture Notes 
4)  Higher Order Linear Equations  Lecture Notes 
5)  Higher Order Linear Equations  Lecture Notes 
6)  The Laplace Transform  Lecture Notes 
7)  The Laplace Transform  Lecture Notes 
8)  The Laplace Transform  Lecture Notes 
9)  
10)  Systems of First Order Linear Differential Equations  Lecture Notes 
11)  Systems of First Order Linear Differential Equations  Lecture Notes 
12)  Systems of First Order Linear Differential Equations  Lecture Notes 
13)  Systems of First Order Linear Differential Equations  Lecture Notes 
14)  Systems of First Order Linear Differential Equations  Lecture Notes 
Course Notes / Textbooks:  Elementary Differential Equations and Boundary Value Problems, 10th Edition with WileyPlus Card William E. Boyce, Richard C. DiPrima John Wiley & Sons Pte Ltd 
References:  Lecture notes Ders notu 
Ders Öğrenme Kazanımları  1 
2 
3 
4 


Program Outcomes  
1) Sufficient knowledge in mathematics, science and engineering related to their branches; 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 for examination of engineering problems.  
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.  
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant selfrenewal.  
9) Professional and ethical responsibility.  
10) Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.  
11) Information on the effects of engineering applications on health, environment and safety in the universal and social dimensions and the problems of the times; awareness of the legal consequences of engineering solutions. 
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; 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.  1 
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 
4)  Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.  2 
5)  Ability to design experiments, conduct experiments, collect data, analyze and interpret results for examination of engineering problems.  
6)  The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.  5 
7)  Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge.  
8)  Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant selfrenewal.  
9)  Professional and ethical responsibility.  
10)  Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.  3 
11)  Information on the effects of engineering applications on health, environment and safety in the universal and social dimensions and the problems of the times; awareness of the legal consequences of engineering solutions. 
Course  
Okuma  
Problem Çözme  
Soru cevap/ Tartışma 
Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama) 
Semester Requirements  Number of Activities  Level of Contribution 
Midterms  2  % 50 
Final  1  % 50 
total  % 100  
PERCENTAGE OF SEMESTER WORK  % 50  
PERCENTAGE OF FINAL WORK  % 50  
total  % 100 
Activities  Number of Activities  Duration (Hours)  Workload 
Course Hours  15  4  60 
Study Hours Out of Class  15  4  60 
Midterms  2  15  30 
Final  1  20  20 
Total Workload  170 