Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  MAT257  DIFFERENTIAL EQUATIONS  Compulsory  2  3  3 

Level of Course Unit 
First Cycle 
Objectives of the Course 
The aim of the course is to introduce the differential equations which have applications in science and engineering. Thus students learn the theory of differential equations and learn to express physical laws in the language of differential equations to improve analytical thinking. Students learn to solve various differential equations by modern techniques in a systematic way 
Name of Lecturer(s) 
Assoc. Prof. Dr.Emine Mısırlı 
Learning Outcomes 
1  be able to make the definitions of first and high order differential eqations and able to classify various differential equations  2  be able comprehend the relation between the solutions and the differenial equations  3  be able to solve differential equations  4  be able to improve to understanding of the solutions by various examples  5  be able to utilize solution methods of first order differantal equations  6  be able to explain the differences between first order differantial equations and high order 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
The origin and the general theory of differential equations, existence and uniqueness. Solution methods for first order differential equations. Applications. Introduction to high order differential equations. Reduction of order and Wronskian. Homogeneous and nonhomogeneous differential equations with constant coefficients. Undefined coefficient method, Variation of parameters method and CauchyEuler differential equations. 
Weekly Detailed Course Contents 

1  The general theory of the differential equations, and the solution concepts    2  Initial an boundary value problems, existence and uniqueness    3  Separable equations and the solutions    4  Homogeneous dif. Equations and equations reducible to homogenous equations    5  Exact dif. Equations and the solutions    6  Exact diff. equations and integrating factors    7  Linear equations and the solutions    8  Midterm exam    9  Bernoulli equations Riccati equations    10  Introduction to high order diff. Equations    11  Linear independence and Wronskian    12  Hom. Diff. equations with constant coefficients    13  Reduction of order    14  Undefined coefficient method    15  Variation of parameters    16  Final Exam   

Recommended or Required Reading 
1 Shepley L.Ross, Differential Equations, John Wiley & Sons, Inc. (1974).
2. Boyce E. W. and DiPrima C. R., Elementary Differential Equations and Boundary Value Problems, John Wiley & Sons, Inc., 1992.

Planned Learning Activities and Teaching Methods 
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation" 
Assessment Methods and Criteria  
Midterm Examination  1  100  SUM  100  
Final Examination  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 