Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

# Description of Individual Course Units

 Course Unit Code Course Unit Title Type of Course Year Semester ECTS 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
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 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