FACULTY OF ENGINEERING
COMPUTER ENGINEERING
COMPUTER ENGINEERING
Course Name   DIFFERENTIAL EQUATIONS
Semester Course Code Theoretical / Practice time ECTS
4 1213456 2 / 2 5
Course Degree Bachelor's degree
Course Language Turkish
Format of Delivery: Face to Face
Course Coordinator Prof.Dr. Haydar Bulgak
Coordinator e-mail
Instructors
Prof.Dr. Haydar Bulgak
Asistant Instructors
Course Objectives To learn the some problems of differential equations, to gain different perspectives about motion theory.
Basic Sciences Engineering Scinces Social Sciences Educational Sciences Artistic sciences Medical Science Agricultural sciences
80 20 0 0 0 0 0
Course Learning Methods and Techniquies
Delivery, questions-answer, problem solving
Week Course Content Resource
1 Mathematical modelling and differential equations 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
2 Classification of differential equations, Solution, Existence-Uniqueness Theorem 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
3 Equations of first order Seperable equations, Homogen equations 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
4 Equations of first order Linear equations, Bernoulli equations 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
5 Equations of first order Exact differential equations, Eeuations which may exact caseand 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
6 Other equations of fist order, Clairaut equations, Generalized Clairaut equations 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
7 Other equations of first order, Riccati equations 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
8 Approximation solution, Picard successive approximation method 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
9 Numerical solution, Euler method, Generalized Euler method 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
10 Midterm exam Lecture notes, all references
11 Differential equations of high order, 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
12 Differential equations of high order 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
13 Solutions of differential equations with power series 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
14 Solutions of differential equations with Laplace transformation 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
15 Solutions of differential equations with Laplace transformation 1.Shepley L.Ross, Differential Equations, 2. N. Curle, Applied Differential Equations, 3. K. Aydın, A.Bulgak, H.Bulgak, Mathematical Analysis with Computer
Assesment Criteria   Mid-term exam Final exam
  Quantity Percentage Quantity Percentage  
Term Studies : - - - -
Attendance / Participation : - - - -
Practical Exam : - - - -
Special Course Exam : - - - -
Quiz : - - - -
Homework : - - - -
Presentations and Seminars : - - - -
Projects : - - - -
Workshop / Laboratory Applications : - - - -
Case studies : - - - -
Field Studies : - - - -
Clinical Studies : - - - -
Other Studies : - - - -
Mid-term exam   1 40 - -
Final exam   - - 1 60
ECTS WORK LOAD TABLE   Number Duration
Course Duration : 14 4
Classroom Work Time : 14 4
Presentations and Seminars : - -
Course Internship : - -
Workshop / Laboratory Applications : - -
Field Studies : - -
Case studies : - -
Projects : - -
Homework : - -
Quiz : - -
Mid-term exam : 1 20
Final Exam : 1 20
ECTS 5
No COURSE LEARNING OUTCOMES CONTRIBUTION
D.Ö.Ç. 1 Mathematical modeling method is learned. 2
D.Ö.Ç. 2 To be classify the differential equations, to be learn the solution and Existence and uniqueness theorem. 3
D.Ö.Ç. 3 To be learn the methods of solution and to be apply 4
D.Ö.Ç. 4 To be learn solutions of differential equations with Laplace transformation 3
D.Ö.Ç. 5 To be learn solution of differential equations with power series 2
D.Ö.Ç. 6 To be learn some approximate solution and numerical solution methods 4
* 1: Zayıf - 2: Orta - 3: İyi - 4: Çok İyi
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