Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

Description of Individual Course Units

Course Unit CodeCourse Unit TitleType of CourseYearSemesterECTS
HRT282 Differential Equations 927006 2 4 5
Level of Course Unit
First Cycle
Objectives of the Course
This course aims to introduce the differential equations, investigate and solve.
Name of Lecturer(s)
Yrd. Doç. Dr. Nihat Altınışık
Learning Outcomes
  1. What are Differential Equations? knowing what it means to solve real problems, knowing their types,
  2. To recognize and establish differential equations of some systems and events.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
general math course I-II must be taken
Recommended Optional Programme Components
None
Recommended or Required Reading
Ordinary differential equations, Doç.Dr. İhsan Dağ Erzurum üniv. published Erzurum 1983
Differential Equations and ApplicationsMehmet Aydın, Gönül Gündüz, Beno Kuryel, Galip Oturanç seşkin published
Planned Learning Activities and Teaching Methods
Language of Instruction
Turkish
Work Placement(s)
None
Course Contents
Basic definitions and terminology, differential equations of a family of curves, solution of equations of the first order (separable differential equations,homogeneous and exact equations,non-exact differential equations and integral factor, linear differential equations, the equations of Bernoulli, the equations of Riccati) orthogonal and oblique trajectories, higher-order and first-order equations , Unique solutions and envelopes,Lagrange and Clariaut equations, Homogeneous linear equations of higher order, the roots of the characteristic equation, non-homogeneous linear differential equations of higher order
Weekly Detailed Course Contents
Week Theoretical Practice Laboratory
1.Basic definitions and terminology, differential equations of a family of curves,
2.separable differential equations,
3. homogeneous and exact equations,
4.non-exact differential equations and integral factor
5.linear differential equations, the equations of Bernoulli
6.the equations of Riccati, orthogonal and oblique trajectories,
7.higher-order and first-order equations , Unique solutions and envelopes
8.Lagrange and Clariaut equations,
9. midterm exam
10. Homogeneous linear equations of higher order, linear dependence and independence for functions
11.the roots of the characteristic equation
12.roots floors, real, complex, depending on whether the solutions
13. non-homogeneous linear differential equations of higher order, operator method
14.method of undetermined coefficients, method of variation of constants
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
Workload Calculation
ActivitiesQuantityTime(hours)Total Workload(hours)
Midterm Examination111
Final Examination111
Attending Lectures14342
Tutorial14342
Homework14342
SUM128