Obtaining of the solutions of differential equations occuring mathematics, physics engineering.
20
Contribution of the Course to Professional Development
Gains the backgrounds to follow the mathematical aspects of physical phenomena emerging or encountered in the field of agricultural sciences in terms of differential equations
21
Learning Outcomes:
1
The modelling of some events as differential equations.;
2
Solving of first order differential equations.;
3
Solving of first order and higher degree differential equations.;
4
Understanding the theory of linear differential equations of order n .;
5
Knows the method of solutions of linear differential equation with constant coefficient.;
6
Knows the method of solutions of linear differential equation with variable coefficient.;
7
Knows the method of solution of nonlinear differential equations of higher order.;
22
Course Content:
Week
Theoretical
Practical
1
General concepts and classification, First order equations
Applications of theory..
2
Seperable equations, Exact equations
Applications of theory..
3
Integrating factor, First order linear equations, Change of variable; Homogeneous equations
Applications of theory..
4
Bernoulli equations, Riccati equations
Applications of theory..
5
Exsistence and uniqueness theorems ,applications of first order differential equation
Applications of theory..
6
High degree of first-order equations,
Applications of theory..
7
n.th order theory of linear differential equations with constant coefficient :The method of undetermined coefficients
Applications of theory..
8
Factorization of operator,The method of variation of parameters
Applications of theory..
9
Repeating courses and midterm exam
Applications of theory..
10
Reduction of order, Cauchy- Euler equations
Applications of theory..
11
Laplace transformation; basic definition and theorems
Applications of theory..
12
Laplace transform solutions of initial value problems
Applications of theory..
13
Power series Method; solution around ordinary and regular-singular points
Applications of theory..
14
Systems of linear differential equations; fundamental theory and solutions, Solutions using Laplace transformation.
Applications of theory..
23
Textbooks, References and/or Other Materials:
Adi Diferensiyel Denklemler Prof. Dr. Mehmet ÇAĞLIYAN Yrd.Doç.Dr. Nisa ÇELİK Yrd.Doç.Dr. Setenay DOĞAN
24
Assesment
TERM LEARNING ACTIVITIES
NUMBER
PERCENT
Midterm Exam
1
40
Quiz
0
0
Homeworks, Performances
0
0
Final Exam
1
60
Total
2
100
Contribution of Term (Year) Learning Activities to Success Grade
40
Contribution of Final Exam to Success Grade
60
Total
100
Measurement and Evaluation Techniques Used in the Course
Measurement and evaluation are performed according to the Rules & Regulations of Bursa Uludağ University on Undergraduate Education.
Information
25
ECTS / WORK LOAD TABLE
Activites
NUMBER
TIME [Hour]
Total WorkLoad [Hour]
Theoretical
14
3
42
Practicals/Labs
14
2
28
Self Study and Preparation
14
2
28
Homeworks, Performances
0
0
0
Projects
0
0
0
Field Studies
0
0
0
Midtermexams
1
14
14
Others
1
54
54
Final Exams
1
14
14
Total WorkLoad
180
Total workload/ 30 hr
6
ECTS Credit of the Course
6
26
CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
