          Description of Individual Course Units
 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 co-requisities
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 Cauchy-Euler differential equations.
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 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
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
 Term (or Year) Learning Activities Quantity Weight Midterm Examination 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight 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 