Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT257DIFFERENTIAL EQUATIONSCompulsory233
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
1be able to make the definitions of first and high order differential eqations and able to classify various differential equations
2be able comprehend the relation between the solutions and the differenial equations
3be able to solve differential equations
4be able to improve to understanding of the solutions by various examples
5be able to utilize solution methods of first order differantal equations
6be 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
WeekTheoreticalPracticeLaboratory
1The general theory of the differential equations, and the solution concepts
2Initial an boundary value problems, existence and uniqueness
3Separable equations and the solutions
4Homogeneous dif. Equations and equations reducible to homogenous equations
5Exact dif. Equations and the solutions
6Exact diff. equations and integrating factors
7Linear equations and the solutions
8Midterm exam
9Bernoulli equations Riccati equations
10Introduction to high order diff. Equations
11Linear independence and Wronskian
12Hom. Diff. equations with constant coefficients
13Reduction of order
14Undefined coefficient method
15Variation of parameters
16Final 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
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Quiz111
Attending Lectures16348
Individual Study for Homework Problems2816
Individual Study for Mid term Examination13030
Individual Study for Final Examination14040
Individual Study for Quiz11010
TOTAL WORKLOAD (hours)149
Contribution of Learning Outcomes to Programme Outcomes
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LO1            445         
LO2444         44        4 
LO3       4    3     3 4   
LO4    4     4             
LO5 3    4        3  4  3  
LO6  3        4        3  4
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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