Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  502002012018  MATHEMATICS III  Compulsory  2  3  6 

Level of Course Unit 
First Cycle 
Objectives of the Course 
It is aimed to establish an infrastructure for differential equations, solutions and applications which are widely used in applied engineering branches. 
Name of Lecturer(s) 
Assoc.Prof.Dr.Gonca ÖZÇELİK KAYSERİ 
Learning Outcomes 
1  To be able to establish the differantial equation  2  To be able to recognize the type of differantial equation  3  To be able to choose the solution methods of differential equations  4  To be able to solve the differantial equation  5  

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
Definition of differential equations, types, first order differential equations and solution methods, high order linear differential equations and solution methods 
Weekly Detailed Course Contents 

1  Differential equation description and types    2  Establishment of differential equations, Existence and uniqueness theorems    3  First order equations, Separable equations    4  Homogeneous equations, Equations reducible to homogeneous form    5  Exact differential equations and integrating factor    6  Linear equations    7  Bernoulli equations, Riccati equations    8  Midterm exam    9  Differential equations that can be solved according to the derivative    10  Clauriat equations, Orthogonal trajectories    11  Higher order linear differential equations    12  Homogeneous differential equations with constant equations    13  Nonhomogeneous differential equations with constant coefficients    14  The method of undetermined coefficients and variation of parameters   

Recommended or Required Reading 

Planned Learning Activities and Teaching Methods 

Assessment Methods and Criteria  
Midterm Examination  1  100  SUM  100  
Final Sınavı  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Language of Instruction  Turkish  Work Placement(s)  None 

Workload Calculation 